figure b

Jerry Ericksen circa 1975

1 Scholarly Works

In this section, we present a comprehensive list of Jerry’s scholarly works. This includes not only his influential research articles but also his Master’s and Doctoral theses, which laid the foundation for his illustrious career. These works represent the intellectual journey of a genuinely original thinker who reshaped the landscape of continuum mechanics and various associated disciplines within mathematics.

  1. 1.

    F. H. Young and J. L. Ericksen, Tangent lines and planes. American Mathematical Monthly 55(9), 573–574 (1948).

  2. 2.

    J. L. Ericksen, Trihedral Curves. Thesis submitted in partial fulfillment of the requirements for the degree of Master of Arts in Mathematics, Oregon State College (June, 1949).

  3. 3.

    J. L. Ericksen, Some Geometrical Problems Connected with Ideal Gas Flows. Thesis submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Mathematics, Indiana University (September, 1951).

  4. 4.

    J. L. Ericksen, Solution to problem 4381, Laws of attraction, posed by R. J. Walker. American Mathematical Monthly 58(8), 571–572 (1951).

  5. 5.

    J. L. Ericksen, On the uniqueness of gas flows. Journal of Mathematics and Physics 31(1–4), 63–68 (1952).

  6. 6.

    J. L. Ericksen, Thin liquid jets. Journal of Rational Mechanics and Analysis 1, 521–538 (1952).

  7. 7.

    J. L. Ericksen, On the propagation of waves in isotropic incompressible perfectly elastic materials. Journal of Rational Mechanics and Analysis 2, 329–337 (1953).

  8. 8.

    J. L. Ericksen, Characteristic surfaces of the equations of motion for non-Newtonian fluids. Zeitschrift für angewandte Mathematik und Physik (ZAMP) 4(4), 260–267 (1953).

  9. 9.

    J. L. Ericksen, On the uniqueness of ideal gas flows with given streamline patterns. Bulletin of the Technical University of Istanbul 6(6), 1–5 (1953).

  10. 10.

    M. Baker and J. L. Ericksen, Inequalities restricting the form of the stress-deformation relations for isotropic elastic solids and Reiner–Rivlin fluids. Journal of the Washington Academy of Sciences 44(2), 33–35 (1954). Reprinted, with introductory comments by C. Truesdell (ed.), Continuum Mechanics III: Foundations of Elasticity Theory, pp. 24–27. Gordon and Breach, New York (1965).

  11. 11.

    J. L. Ericksen and R. S. Rivlin, Large elastic deformations of homogeneous anisotropic materials. Journal of Rational Mechanics and Analysis 3, 281–301 (1954).

  12. 12.

    J. L. Ericksen, Deformations possible in every isotropic, incompressible, perfectly elastic body. Zeitschrift für angewandte Mathematik und Physik (ZAMP) 5(6), 466–489 (1954).

  13. 13.

    R. S. Rivlin and J. L. Ericksen, Stress-deformation relations for isotropic materials. Journal of Rational Mechanics and Analysis 4, 323–425 (1955). Reprinted, with introductory comments by C. Truesdell (ed.), Continuum Mechanics II: The Rational Mechanics of Materials, pp. 144–247. Gordon and Breach, New York (1965).

  14. 14.

    J. L. Ericksen, Note concerning the number of directions which, in a given motion, suffer no instantaneous rotation. Journal of the Washington Academy of Sciences 45(3), 65–66 (1955).

  15. 15.

    J. L. Ericksen, Singular surfaces in plasticity. Journal of Mathematics and Physics 34(1–4), 74–79 (1955).

  16. 16.

    J. L. Ericksen, Deformations possible in every compressible, isotropic, perfectly elastic material. Journal of Mathematics and Physics 34(1–4), 126–128 (1955).

  17. 17.

    J. L. Ericksen, Letter to the Editor: A consequence of inequalities proposed by Baker and Ericksen. Journal of the Washington Academy of Sciences 45(8), 268 (1955).

  18. 18.

    J. L. Ericksen, Inversion of a perfectly elastic spherical shell. Zeitschrift für angewandte Mathematik und Mechanik (ZAMM) 35(9–10), 382–385 (1955).

  19. 19.

    J. L. Ericksen, Book Review: Theoretical Elasticity by A. E. Green and W. Zerna (1954). Bulletin of the American Mathematical Society 61(4), 362–364 (1955).

  20. 20.

    J. L. Ericksen, Stress-deformation relations for solids. Canadian Journal of Physics 34(2), 226–227 (1956).

  21. 21.

    T. C. Doyle and J. L. Ericksen, Nonlinear elasticity. Advances in Applied Mechanics 4, 53–115 (1956).

  22. 22.

    J. L. Ericksen and R. A. Toupin, Implications of Hadamard’s condition for elastic stability with respect to uniqueness theorems. Canadian Journal of Mathematics 8, 432–436 (1956). Reprinted, with introductory comments by C. Truesdell (ed.), Continuum Mechanics III: Foundations of Elasticity Theory, pp. 109–114. Gordon and Breach, New York (1965).

  23. 23.

    J. L. Ericksen, Characteristic directions for certain equations of plasticity. Mathematika 3(1), 56–62 (1956).

  24. 24.

    J. L. Ericksen, Overdetermination of the speed in rectilinear motion of non-Newtonian fluids. Quarterly of Applied Mathematics 14(3), 319–321 (1956). Reprinted, with introductory comments by C. Truesdell (ed.), Continuum Mechanics II: The Rational Mechanics of Materials, pp. 248–252. Gordon and Breach, New York (1965).

  25. 25.

    J. L. Ericksen, Characteristic directions for equations of motion of non-Newtonian fluids. Pacific Journal of Mathematics 7(4), 1557–1562 (1957).

  26. 26.

    J. L. Ericksen, On the Dirichlet problem for linear differential equations. Proceedings of the American Mathematical Society 8(3), 521–522 (1957).

  27. 27.

    J. L. Ericksen and C. Truesdell, Exact theory of stress and strain in rods and shells. Archive for Rational Mechanics and Analysis 1, 295–323 (1957). Reprinted, with introductory comments by C. Truesdell (ed.), Continuum Mechanics II: The Rational Mechanics of Materials, pp. 306–335. Gordon and Breach, New York (1965).

  28. 28.

    B. Bernstein and J. L. Ericksen, Work functions in hypoelasticity. Archive for Rational Mechanics and Analysis 1, 396–409 (1957).

  29. 29.

    W. O. Criminale, Jr., J. L. Ericksen, and G. L. Filbey, Jr., Steady shear flow of non-Newtonian fluids. Archive for Rational Mechanics and Analysis 1, 410–417 (1957).

  30. 30.

    J. L. Ericksen, Hypo-elastic potentials. Quarterly Journal of Mechanics and Applied Mathematics 11(1), 67–72 (1958).

  31. 31.

    J. L. Ericksen, Anisotropic fluids. Archive for Rational Mechanics and Analysis 4, 231–237 (1959). Reprinted, with introductory comments by C. Truesdell (ed.), Continuum Mechanics II: The Rational Mechanics of Materials, pp. 407–414. Gordon and Breach, New York (1965).

  32. 32.

    J. L. Ericksen, Secondary flow phenomena in nonlinear fluids. TAPPI, Journal of the Technical Association of the Pulp and Paper Industry 42, 773–775 (1959).

  33. 33.

    J. L. Ericksen, The behavior of certain viscoelastic materials in laminar shearing motions. Viscoelasticity: Phenomenological Aspects, edited by J. T. Bergen, pp. 77–91. Academic Press, New York (1960).

  34. 34.

    J. L. Ericksen, Theory of anisotropic fluids. Transactions of the Society of Rheology 4(1), 29–39 (1960).

  35. 35.

    J. L. Ericksen, Tensor fields. Appendix to The classical field theories by C. Truesdell and R. Toupin. Handbuch der Physik, Vol. 3, Part 1, edited by S. Flügge, pp. 794–858, Springer-Verlag, Berlin (1960).

  36. 36.

    J. L. Ericksen, Transversely isotropic fluids. Kolloid-Zeitschrift 173(2), 117–122 (1960).

  37. 37.

    J. L. Ericksen, A vorticity effect in anisotropic fluids. Journal of Polymer Science 47(149), 327–331 (1960).

  38. 38.

    J. L. Ericksen, Poiseuille flow of certain anisotropic fluids. Archive for Rational Mechanics and Analysis 8, 1–8 (1961). Reprinted, with introductory comments by C. Truesdell (ed.), Continuum Mechanics II: The Rational Mechanics of Materials, pp. 415–423. Gordon and Breach, New York (1965).

  39. 39.

    J. L. Ericksen, Conservation laws for liquid crystals. Transactions of the Society of Rheology 5(1), 23–34 (1961). Reprinted, with introductory comments by C. Truesdell (ed.), Continuum Mechanics II: The Rational Mechanics of Materials, pp. 424–436. Gordon and Breach, New York (1965).

  40. 40.

    J. L. Ericksen, Book Review: Large Elastic Deformations and Non-Linear Continuum Mechanics by A. E. Green and J. E. Adkins (1960). Journal of the Mechanics and Physics of Solids 9(3), 213–214 (1961).

  41. 41.

    J. L. Ericksen, Kinematics of macromolecules. Archive for Rational Mechanics and Analysis 9, 1–8 (1962).

  42. 42.

    J. L. Ericksen, Hydrostatic theory of liquid crystals. Archive for Rational Mechanics and Analysis 9, 371–378 (1962).

  43. 43.

    J. L. Ericksen, Orientation induced by flow. Transactions of the Society of Rheology 6(1), 275–291 (1962).

  44. 44.

    J. L. Ericksen, Nilpotent energies in liquid crystal theory. Archive for Rational Mechanics and Analysis 10, 189–196 (1962).

  45. 45.

    J. L. Ericksen, Singular surfaces in anisotropic fluids. International Journal of Engineering Science 1(2), 157–161 (1963).

  46. 46.

    J. L. Ericksen, Recoil of orientable fluids. Proceedings of the Seventh Congress on Theoretical and Applied Mechanics, Bombay, India, 23–26 December 1961, edited by B. R. Seth, pp. 211–218. Indian Society of Theoretical and Applied Mechanics, Indian Institute of Technology, Kharagpur (1963).

  47. 47.

    J. L. Ericksen, Non-existence theorems in linear elasticity theory. Archive for Rational Mechanics and Analysis 14, 180–183 (1963).

  48. 48.

    J. L. Ericksen, Non-uniqueness and non-existence in linearized elasticity theory. Contributions to Differential Equations 3, 295–300 (1964).

  49. 49.

    J. L. Ericksen, Non-existence theorems in linearized elastostatics. Journal of Differential Equations 1(4), 446–451 (1965).

  50. 50.

    J. L. Ericksen, Thermoelastic stability. Proceedings of the Fifth U.S. National Congress of Applied Mechanics, Minneapolis, MN, 14–17 June 1966, edited by L. E. Goodman, G. F. Carrier, C. F. Chen, A. S. Kobayashi, J. P. Lamb, G. Z. Voyiadjis, J. W. Ju, and S. K. Datta, pp. 187–193. American Society of Mechanical Engineers, New York (1966).

  51. 51.

    J. L. Ericksen, Inequalities in liquid crystal theory. Physics of Fluids 9(6), 1205–1207 (1966).

  52. 52.

    J. L. Ericksen, A thermo-kinetic view of elastic stability theory. International Journal of Solids and Structures 2(4), 573–580 (1966). Translated into Russian by A. I. Derzhavina in item 91 of this list, pp. 35–45.

  53. 53.

    J. L. Ericksen, Some magnetohydrodynamic effects in liquid crystals. Archive for Rational Mechanics and Analysis 23(4), 266–275 (1966). Translated into Russian by A. I. Derzhavina in item 91 of this list, pp. 15–27.

  54. 54.

    J. L. Ericksen, Instability of Couette flow of anisotropic fluids. Quarterly Journal of Mechanics and Applied Mathematics 19(4), 455–459 (1966).

  55. 55.

    J. L. Ericksen, Twisting of liquid crystals. Journal of Fluid Mechanics 27(1), 59–64 (1967).

  56. 56.

    J. L. Ericksen, General solutions in the hydrostatic theory of liquid crystals. Transactions of the Society of Rheology 11(1), 5–14 (1967).

  57. 57.

    J. L. Ericksen, Continuum theory of liquid crystals. Applied Mechanics Reviews 20(11), 1029–1032 (1967).

  58. 58.

    J. L. Ericksen, Twisting of partially oriented liquid crystals. Quarterly of Applied Mathematics 25(4), 474–479 (1968).

  59. 59.

    J. L. Ericksen, Propagation of weak waves in liquid crystals of nematic type. Journal of the Acoustical Society of America 44(2), 444–446 (1968).

  60. 60.

    J. L. Ericksen, Twist waves in liquid crystals. Quarterly Journal of Mechanics and Applied Mathematics 21(4), 463–465 (1968).

  61. 61.

    J. L. Ericksen, A boundary layer effect in viscometry of liquid crystals. Transactions of the Society of Rheology 13(1), 9–15 (1969). Translated into Russian by N. T. Pashchenko in item 91 of this list, pp. 28–34.

  62. 62.

    J. L. Ericksen, Twisting of liquid crystals by magnetic fields. Zeitschrift für angewandte Mathematik und Physik (ZAMP) 20(3), 383–388 (1969).

  63. 63.

    J. L. Ericksen, Continuum theory of liquid crystals of nematic type. Molecular Crystals 7(1), 153–164 (1969).

  64. 64.

    J. L. Ericksen, Simpler static problems in nonlinear theories of rods. International Journal of Solids and Structures 6(3), 371–377 (1970).

  65. 65.

    J. L. Ericksen, Singular solutions in liquid crystal theory. Liquid Crystals and Ordered Fluids. Proceedings of an American Chemical Society Symposium on Ordered Fluids and Liquid Crystals, New York, NY, 10–12 September 1969, edited by R. S. Johnson and J. Porter, pp. 181–192. Plenum Press, New York (1970).

  66. 66.

    Дж. Л. Эриксен, О симметрии кристаллов. В сб. Проблемы механики твердого деформированного тела. К шестидесятилетию акад. В. В. Новожилова, под редакцией Л. И. Седова, с. 493–496. Судостроение, Ленинград (1970). (J. L. Ericksen, On the symmetry of crystals. Problems of Mechanics of Solid Deformable Bodies. In Honor of the Sixtieth Birthday of Academician V. V. Novozhilov, edited by L. I. Sedov, pp. 493–496. Sudostroenie, Leningrad (1970).)

  67. 67.

    J. L. Ericksen, Uniformity in shells. Archive for Rational Mechanics and Analysis 37(2), 73–84 (1970). Translated into Russian by A. I. Derzhavina in item 91 of this list, pp. 204–218.

  68. 68.

    J. L. Ericksen, Nonlinear elasticity of diatomic crystals. International Journal of Solids and Structures 6(7), 951–957 (1970).

  69. 69.

    J. L. Ericksen, Wave propagation in thin elastic shells. Archive for Rational Mechanics and Analysis 43(3), 167–178 (1971). Translated into Russian by A. I. Derzhavina in item 91 of this list, pp. 189–203.

  70. 70.

    J. L. Ericksen, Symmetry transformations for thin elastic shells. Archive for Rational Mechanics and Analysis 47(1), 1–14 (1972).

  71. 71.

    J. L. Ericksen, The simplest problems for elastic Cosserat surfaces. Journal of Elasticity 2(2), 101–107 (1972).

  72. 72.

    J. L. Ericksen, Simpler problems for elastic plates. International Journal of Solids and Structures 9(1), 141–149 (1973). Translated into Russian by A. I. Derzhavina in item 91 of this list, pp. 219–228.

  73. 73.

    J. L. Ericksen, Apparent symmetry of certain thin elastic shells. Journal de Mécanique 12, 173–181 (1973).

  74. 74.

    J. L. Ericksen, Apparent symmetry of plates of variable height and thickness. Istituto Lombardo, Accademia di Scienze e Lettere, Rendiconti, Scienze Matematiche, Fisiche, Chimiche e Geologiche, Sezione A 107(1), 71–82 (1973).

  75. 75.

    J. L. Ericksen, Loading devices and stability of equilibrium. Nonlinear Elasticity, edited by R. W. Dickey, pp. 161–173. Academic Press, New York (1973).

  76. 76.

    J. L. Ericksen, Plane infinitesimal waves in homogeneous elastic plates. Journal of Elasticity 3(3), 161–167 (1973). Translated into Russian by N. T. Pashchenko in item 91 of this list, pp. 238–245.

  77. 77.

    J. L. Ericksen, Complex exponential solutions of linear elasticity equations. Journal of Elasticity 4(1), 65–71 (1974).

  78. 78.

    J. L. Ericksen, Plane waves and stability of elastic plates. Quarterly of Applied Mathematics 32(3), 343–345 (1974). Translated into Russian by N. T. Pashchenko in item 91 of this list, pp. 229–237.

  79. 79.

    J. L. Ericksen, Liquid crystals and Cosserat surfaces. Quarterly Journal of Mechanics and Applied Mathematics 27(2), 213–219 (1974).

  80. 80.

    Д. Эриксен. Некоторые проблемы устойчивости в нелинейной теории упругости. В сб. Успехи механики деформируемых сред. К 100 -летию со дня рождения академика Б. Г. Галеркина, ред. А. Ю. Ишлинский, с. 559–565. Академия наук СССР. Институт проблем механики. Наука, Москва (1975). (J. Ericksen, Certain stability problems in nonlinear elasticity theory. Advances in the Mechanics of Deformable Media. To the Centenary of the Birth of Academician B. G. Galerkin, edited by A. Yu. Ishlinskii, pp. 559–565. Institute for Problems in Mechanics, Academy of Sciences of the USSR. Nauka, Moscow (1975).)

  81. 81.

    J. L. Ericksen, Equilibrium of bars. Journal of Elasticity 5(3–4), 191–201 (1975).

  82. 82.

    J. L. Ericksen, On equations of motion for liquid crystals. Quarterly Journal of Mechanics and Applied Mathematics 29(2), 203–208 (1976).

  83. 83.

    J. L. Ericksen, Equilibrium theory of liquid crystals. Advances in Liquid Crystals, Vol. 2, edited by G. H. Brown, pp. 233–298. Academic Press, New York (1976). Translated into Russian by R. A. Harutyunyan and E. L. Aero in item 91 of this list, pp. 46–123.

  84. 84.

    J. L. Ericksen, Simpler problems for elastic Cosserat surfaces. Journal of Elasticity 7(1), 1–11 (1977). Translated into Russian by V. M. Nov in item 91 of this list, pp. 124–188.

  85. 85.

    J. L. Ericksen, The mechanics of nematic liquid crystals. The Mechanics of Viscoelastic Fluids, edited by R. S. Rivlin, pp. 47–58. American Society of Mechanical Engineers, New York (1977).

  86. 86.

    J. L. Ericksen, Special topics in elastostatics. Advances in Applied Mechanics 17, 189–244 (1977).

  87. 87.

    J. L. Ericksen, Semi-inverse methods in finite elasticity theory. Finite Elasticity, edited by R. S. Rivlin, pp. 11–21. Applied Mechanics Division, American Society of Mechanical Engineers, New York (1977).

  88. 88.

    J. L. Ericksen, Volterra dislocations in nonlinearly elastic bodies. Analele Ştiinţiffe ale Universităţii “ Alexandru Ioan Cuza” din Iaşi (Serie Nouă), Mathematică 23(2), 423–430 (1977).

  89. 89.

    J. L. Ericksen, On the formulation of St. Venant’s problem. Nonlinear Analysis and Mechanics: Heriot-Watt Symposium, Vol. 1, edited by R. J. Knops, pp. 158–186. Pitman, London (1977).

  90. 90.

    J. L. Ericksen, Transformation theory for some continuum theories. Iranian Journal of Science and Technology 6, 113–124 (1977).

  91. 91.

    Дж. Эриксен. Исследования по механике сплошных сред ( сборник статей). Пер. с англ. под ред. В. Н. Николаевского. Мир. Москва (1977). (J. Ericksen, Studies on Mechanics of Continua: A Collection of Articles. Translations from English edited by V. N. Nikolaevsky. MIR, Moscow (1977).)

  92. 92.

    Дж. Эриксен. Введение. В сб. Дж. Эриксен. Исследования по механике сплошных сред. Пер. с англ. под ред. В. Н. Николаевского, c. 9–13 Мир. Москва (1977). (J. L. Ericksen, Introduction. Studies on Mechanics of Continua: A Collection of Articles, pp. 9–13. Translations from English edited by V. N. Nikolaevsky. MIR, Moscow (1977).)

  93. 93.

    J. L. Ericksen, Bending a prism to helical form. Archive for Rational Mechanics and Analysis 66(1), 1–18 (1977).

  94. 94.

    J. L. Ericksen, On the symmetry and stability of thermoelastic solids. Journal of Applied Mechanics 45(4), 740–744 (1978).

  95. 95.

    J. L. Ericksen, Kirchhoff and Gibbs revisited. Journal of Elasticity 8(4), 439–446 (1978).

  96. 96.

    J. L. Ericksen, Theory of Cosserat surfaces and its applications to shells, interfaces and cell membranes. Recent Developments in Theory and Application of Generalized and Oriented Media, edited by P. G. Glockner, M. Epstein and D. J. Malcolm, pp. 27–29. American Academy of Mechanics, Calgary (1979).

  97. 97.

    J. L. Ericksen, On St. Venant’s problem for thin-walled tubes. Archive for Rational Mechanics and Analysis 70(1), 7–12 (1979).

  98. 98.

    J. L. Ericksen, On the symmetry of deformable crystals. Archive for Rational Mechanics and Analysis 72(1), 1–13 (1979).

  99. 99.

    J. L. Ericksen, Variations on a bifurcation theorem by Poincaré. Meccanica 14(1), 3–5 (1979).

  100. 100.

    J. L. Ericksen, On the status of St. Venant’s solutions as minimizers of energy. International Journal of Solids and Structures 16(3), 195–198 (1980).

  101. 101.

    J. L. Ericksen, Some phase transitions in crystals. Archive for Rational Mechanics and Analysis 73(2), 99–124 (1980).

  102. 102.

    J. L. Ericksen, Periodic solutions for elastic prisms. Quarterly of Applied Mathematics 37(4), 443–446 (1980).

  103. 103.

    J. L. Ericksen, Changes in symmetry in elastic crystals. Proceedings of the IUTAM Symposium on Finite Elasticity, Lehigh, PA, USA, 10–15 August 1980, edited by D. E. Carlson and R. T. Shield, pp. 167–177. Martinus Nijhoff Publishers, The Hague (1981).

  104. 104.

    J. L. Ericksen, Some simpler cases of the Gibbs problem for thermoelastic solids. Journal of Thermal Stresses 4(1), 13–30 (1981).

  105. 105.

    J. L. Ericksen, Continuous martensitic transitions in thermoelastic solids. Journal of Thermal Stresses 4(2), 107–119 (1981).

  106. 106.

    J. L. Ericksen, On generalized momentum. International Journal of Solids and Structures 18(4), 315–317 (1982).

  107. 107.

    J. L. Ericksen, Multi-valued strain energy functions for crystals. International Journal of Solids and Structures 18(10), 913–916 (1982).

  108. 108.

    J. L. Ericksen, Crystal lattices and sub-lattices. Rendiconti del Seminario Matematico della Universitá di Padova 68, 1–9 (1982).

  109. 109.

    J. L. Ericksen, Theory of stress-free joints. Journal of Elasticity 13(1), 3–15 (1983).

  110. 110.

    J. L. Ericksen, Ill-posed problems in thermoelasticity theory. Systems of Nonlinear Partial Differential Equations, Proceedings of the NATO Advanced Study Institute on Systems of Nonlinear Partial Differential Equations, Oxford, U.K., 25 July–7 August 1982, edited by J. M. Ball, pp. 71–93. D. Reidel Publishing Company, Dordrecht (1983).

  111. 111.

    J. L. Ericksen, The Cauchy and Born hypotheses for crystals. Phase Transformations and Material Instabilities in Solids, Proceedings of a Conference conducted by the Mathematics Research Center, The University of Wisconsin—Madison, 11–13 October 1983, edited by M. E. Gurtin, pp. 61–77. Academic Press, Orlando (1984).

  112. 112.

    J. L. Ericksen, A thermodynamic view of order parameters for liquid crystals. Orienting Polymers, Proceedings of a Workshop held at the IMA, University of Minnesota, Minneapolis, 21–26 March 1983, edited by J. L. Ericksen, pp. 27–36. Springer-Verlag, New York (1984).

  113. 113.

    J. L. Ericksen, Thermodynamics and stability of equilibrium. Appendix G3 to Rational Thermodynamics, 2nd Edition, by C. Truesdell, pp. 503–508. Springer-Verlag, New York (1984).

  114. 114.

    J. L. Ericksen, Thermoelastic considerations for continuously dislocated crystals. The Mechanics of Dislocations, Proceedings of an International Symposium, Houghton, MI, 28–31 August 1983, edited by E. C. Aifantis and J. Hirth, pp. 95–100. American Society of Metals, Metals Park (1985).

  115. 115.

    J. L. Ericksen, Some surface defects in unstressed thermoelastic solids. Archive for Rational Mechanics and Analysis 88(4), 337–345 (1986).

  116. 116.

    J. L. Ericksen, Stable equilibrium configurations of elastic crystals. Archive for Rational Mechanics and Analysis 94(1), 1–14 (1986).

  117. 117.

    J. L. Ericksen, Constitutive theory for some constrained elastic crystals. International Journal of Solids and Structures 22(9), 951–964 (1986).

  118. 118.

    J. L. Ericksen, Twinning of crystals (I). Metastability and Incompletely Posed Problems, The IMA Volumes in Mathematics and its Applications, Vol. 3, edited by S. Antman, J. L. Ericksen, D. Kinderlehrer, and I. Müller, pp. 77–93. Springer-Verlag, New York (1987).

  119. 119.

    J. L. Ericksen, Continuum theory of nematic liquid crystals. Res mechanica 21(4), 381–392 (1987).

  120. 120.

    J. L. Ericksen, Liquid crystals—Theory and some unsolved problems. Siam News 20(6), 4–5 (1987).

  121. 121.

    J. L. Ericksen, Some constrained elastic crystals. Material Instabilities in Continuum Mechanics: Related Mathematical Problems, Proceedings of the Symposium Year held at Heriot-Watt University, Edinburgh, 1985–1986, edited by J. M. Ball, pp. 119–135. Oxford University Press, New York (1988).

  122. 122.

    J. L. Ericksen, Weak martensitic transformations in Bravais lattices. Archive for Rational Mechanics and Analysis 107(1), 23–36 (1989).

  123. 123.

    J. L. Ericksen, Introduction to the Thermodynamics of Solids. Chapman and Hall, New York (1991).

  124. 124.

    J. L. Ericksen, Liquid crystals with variable degree of orientation. Archive for Rational Mechanics and Analysis 113(2), 97–120 (1991).

  125. 125.

    J. L. Ericksen. Static theory of nematic liquid crystals. Geometric Analysis and Computer Graphics, Proceedings of the Workshop on Differential Geometry, Calculus of Variations, and Computer Graphics, Mathematical Sciences Research Institute, Berkeley, California, 23–25 May, 1988, edited by P. Concus, R. Finn and D. A. Hoffman, pp. 65–66. Springer-Verlag, New York (1991).

  126. 126.

    J. L. Ericksen, On kinematic conditions of compatibility. Journal of Elasticity 26(1), 65–74 (1991).

  127. 127.

    J. L. Ericksen, Bifurcation and martensitic transformations in Bravais lattices. Journal of Elasticity 28(1), 55–78, (1992).

  128. 128.

    J. L. Ericksen, Reversible and non-dissipative processes. Quarterly Journal of Mechanics and Applied Mathematics 45(4), 545–554 (1992).

  129. 129.

    J. L. Ericksen, Local bifurcation theory for thermoelastic Bravais lattices. Microstructure and Phase Transition, The IMA Volumes in Mathematics and its Applications, Vol. 54, edited by D. Kinderlehrer, R. D. James, M. Luskin, and J. L. Ericksen, pp. 57–84. Springer-Verlag, New York (1993).

  130. 130.

    J. L. Ericksen, Remarks concerning forces on line defects. Theoretical, Experimental, and Numerical Contributions to the Mechanics of Fluids and Solids: A Collection of Papers in Honor of Paul M. Naghdi, edited by J. Casey and M. J. Crochet, pp. 247–271. Birkhäuser, Basel (1995).

  131. 131.

    J. L. Ericksen, On the possibility of having different Bravais lattices connected thermodynamically. Mathematics and Mechanics of Solids 1(1), 5–24 (1996).

  132. 132.

    J. L. Ericksen, Static theory of point defects in nematic liquid crystals. Nonlinear Effects in Fluids and Solids, edited by M. M. Carroll and M. A. Hayes, pp. 137–148. Plenum Press, New York (1996).

  133. 133.

    J. L. Ericksen, Thermal expansion involving phase transitions in certain thermoelastic crystals. Meccanica 31(5), 473–488 (1996).

  134. 134.

    J. L. Ericksen, Equilibrium theory for X-ray observations of crystals. Archive for Rational Mechanics and Analysis 139(2), 181–200 (1997).

  135. 135.

    J. L. Ericksen, On nonlinear elasticity theory for crystal defects. International Journal of Plasticity 14(1–3), 9–24 (1998).

  136. 136.

    J. L. Ericksen, On nonessential descriptions of crystal multilattices. Mathematics and Mechanics of Solids 3(4), 363–392 (1998).

  137. 137.

    J. L. Ericksen, Introduction to the Thermodynamics of Solids, Revised edition. Springer-Verlag, New York (1998).

  138. 138.

    J. L. Ericksen, On groups occurring in the theory of crystal multilattices. Archive for Rational Mechanics and Analysis 148(2), 145–178 (1999).

  139. 139.

    J. L. Ericksen, Notes on the X-ray theory. Journal of Elasticity 55(3), 201–218 (1999).

  140. 140.

    J. L. Ericksen, A minimization problem in the X-ray theory. Contributions to Continuum Theories, Anniversary Volume for Krzysztof Wilmanski, collected by B. Albers, pp. 77–82. Weierstraß–Institut für Angewandte Analysis und Stochastik, Report No. 18, Berlin (2000).

  141. 141.

    J. L. Ericksen, On correlating two theories of twinning. Archive for Rational Mechanics and Analysis 153(4), 261–289 (2000).

  142. 142.

    J. L. Ericksen, On invariance groups for equilibrium theories. Journal of Elasticity 59(1–3), 9–22 (2000).

  143. 143.

    J. L. Ericksen, Twinning analyses in the X-ray theory. International Journal of Solids and Structures 38(6–7), 967–995 (2001).

  144. 144.

    J. L. Ericksen, On the theory of growth twins in quartz. Mathematics and Mechanics of Solids 6(4), 359–386 (2001).

  145. 145.

    J. L. Ericksen, On the theory of the \(\alpha \)–\(\beta \) phase transition in quartz. Journal of Elasticity 63(1), 61–86 (2001).

  146. 146.

    J. L. Ericksen, Electromagnetic effects in thermoelastic materials. Mathematics and Mechanics of Solids 7(2), 165–189 (2002).

  147. 147.

    J. L. Ericksen, Twinning theory for some Pitteri neighborhoods. Continuum Mechanics and Thermodynamics 14(3), 249–262 (2002).

  148. 148.

    J. L. Ericksen, On the X-ray theory of twinning. Mathematics and Mechanics of Solids 7(4), 331–352 (2002).

  149. 149.

    J. L. Ericksen, On Pitteri neighborhoods centered at hexagonal close-packed configurations. Archive for Rational Mechanics and Analysis 164(2), 103–131 (2002).

  150. 150.

    J. L. Ericksen, On the theory of rotation twins in crystal multilattices. Journal of Elasticity 70(1–3), 267–283 (2003).

  151. 151.

    J. L. Ericksen, Notes on theories of an INC phase in quartz. Mathematics and Mechanics of Solids 9(6), 583–598 (2004).

  152. 152.

    J. L. Ericksen, Unusual solutions of twinning equations in the X-ray theory. Mathematics and Mechanics of Solids 10(2), 155–165 (2005).

  153. 153.

    J. L. Ericksen, On the theory of cyclic growth twins. Mathematics and Mechanics of Solids 11(1), 3–22 (2006).

  154. 154.

    J. L. Ericksen, A modified theory of magnetic effects in elastic materials. Mathematics and Mechanics of Solids 11(1), 23–47 (2006).

  155. 155.

    J. L. Ericksen, Electromagnetism in steadily rotating matter. Continuum Mechanics and Thermodynamics 17(5), 361–371 (2006).

  156. 156.

    J. L. Ericksen, Theory of elastic dielectrics revisited. Archive for Rational Mechanics and Analysis 183(2), 299–313 (2007).

  157. 157.

    J. L. Ericksen, On formulating and assessing continuum theories of electromagnetic fields in elastic materials. Journal of Elasticity 87(2–3), 95–108 (2007).

  158. 158.

    J. L. Ericksen, On disagreements concerning transformation rules for electromagnetic quantities. Continuum Mechanics and Thermodynamics 19(6), 321–327 (2007).

  159. 159.

    J. L. Ericksen, Magnetizable and polarizable elastic materials. Mathematics and Mechanics of Solids 13(1), 38–54 (2008).

  160. 160.

    J. L. Ericksen, On the Cauchy–Born rule. Mathematics and Mechanics of Solids 13(3–4), 199–220 (2008).

Jerry also served as the editor or as a co-editor of eight volumes featuring articles from workshops held at the Institute for Mathematics and its Applications, University of Minnesota, Twin Cities. With the exception of the volumes referenced in items 112, 118 and 129 above, the remaining volumes are:

  • Homogenization and Effective Moduli of Materials and Media, The IMA Volumes in Mathematics and its Applications, Vol. 1, edited by J. L. Ericksen, D. Kinderlehrer, R. L. Kohn, and J.-L. Lions. Springer-Verlag, New York (1986).

  • Oscillation Theory, Computation, and Methods of Compensated Compactness, The IMA Volumes in Mathematics and its Applications, Vol. 2, edited by C. Dafermos, J. L. Ericksen, D. Kinderlehrer, and M. Slemrod. Springer-Verlag, New York (1986).

  • Dynamical Problems in Continuum Physics, The IMA Volumes in Mathematics and its Applications, Vol. 4, edited by J. L. Bona, C. Dafermos, J. L. Ericksen, and D. Kinderlehrer. Springer-Verlag, New York (1987).

  • Theory and Applications of Liquid Crystals, The IMA Volumes in Mathematics and its Applications, Vol. 5, edited by J. L. Ericksen and D. Kinderlehrer. Springer-Verlag, New York (1987).

  • Amorphous Polymers and Non-Newtonian Fluids, The IMA Volumes in Mathematics and its Applications, Vol. 6, edited by C. Dafermos, J. L. Ericksen, and D. Kinderlehrer. Springer-Verlag, New York (1987).

2 Academic Lineage

Jerry’s immeasurable impact as a mentor and educator is buoyed by his academic lineage and intellectual heritage which we trace through eight generations, as determined with reference to the Academic Genealogy Project (https://www.mathgenealogy.org). This lineage branches into distinct paths, connecting Jerry’s legacy with that of eminent scholars who preceded him. See Fig. 1.

Fig. 1
figure 1

Academic lineage of Jerald L. Ericksen, traced through eight generations

Full size image

3 Doctoral Advisees

Jerry’s commitment to mentorship is epitomized by the exceptional students he guided. In this section, we present a list of Jerry’s doctoral students, each of whom has carried forward his passion for research and learning. Their achievements stand as a testament to his skill and dedication as an educator and his profound impact on the scientific community.

  1. 1.

    George L. Hand, The Johns Hopkins University, 1961.

  2. 2.

    Fu-Tien Sung, The Johns Hopkins University, 1961.

  3. 3.

    Millard F. Beatty, Jr., The Johns Hopkins University, 1964.

  4. 4.

    Dominic G. B. Edelen, The Johns Hopkins University, 1965.

  5. 5.

    Constantine M. Dafermos, The Johns Hopkins University, 1967.

  6. 6.

    Michael L. Doria, The Johns Hopkins University, 1968.

  7. 7.

    James L. Thompson, The Johns Hopkins University, 1968.

  8. 8.

    James T. Jenkins, The Johns Hopkins University, 1969.

  9. 9.

    Romesh C. Batra, The Johns Hopkins University, 1972.

  10. 10.

    Samson A. Adeleke, The Johns Hopkins University, 1978.

  11. 11.

    Richard D. James, The Johns Hopkins University, 1979.

  12. 12.

    Yi-Chao Chen, The University of Minnesota, 1985.

  13. 13.

    Ernest H. MacMillan, The University of Minnesota, 1987.

  14. 14.

    Giovanni Zanzotto, The University of Minnesota, 1990.