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A further note on finite-strain force and moment stress elasticity

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Abstract

Earlier considerations [4, 6] of the statics and kinematics of force and moment stresses and strains are complemented by the consideration of constitutive relations for an elastic medium. Known variational theorems for stresses and displacements of finite force stress elasticity, and of infinitesimal force and moment stress elasticity, are generalized to the case of finite force and moment stress elasticity.

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References

  1. E. Cosserat and F. Cosserat, Théorie des corps déformables, Herman & fils, Paris 1909.

    Google Scholar 

  2. B. Frayes de Veubeke,A new variational principle for finite elastic deformations, Intern. J. Eng. Sc.10, 745–763, (1972).

    Google Scholar 

  3. G. Grioli,Elasticità asimmetrica, Ann. Mat. Pure & Appl. Ser. IV,50, 389–417, (1960).

    Google Scholar 

  4. E. Reissner,On kinematics and statics of finite-strain force and moment stress plasticity, Stud. Appl. Math.52, 97–101, (1973).

    Google Scholar 

  5. E. Reissner,Linear and nonlinear theory of shells, Thin Shell Structures (Sechler Anniversary Volume), pp. 29–44, Prentice-Hall, Englewood Cliffs 1974.

    Google Scholar 

  6. E. Reissner,Note on the equations of finite strain force and moment stress elasticity, Stud. Appl. Math.54, 1–8, (1975).

    Google Scholar 

  7. E. Reissner,Some aspects of the variational principles problem in plasticity, Comput. Mech.1, 3–9, (1986).

    Google Scholar 

  8. E. Reissner and F. Y. M. Wan,A note on Günther's analysis of couple stress, Mechanics of Generalized Continua (IUTAM Symposium Freudenstadt-Stuttgart, edited by E. Kröner), pp. 83–86, Springer-Verlag, Berlin 1968.

    Google Scholar 

  9. J. G. Simmonds and D. A. Danielson,Nonlinear shell theory with finite rotation and stress function vectors, J. Appl. Mech.39, 1085–1090, (1972).

    Google Scholar 

  10. R. A. Toupin,Theory of elasticity with couple stresses, Arch. Rat. Mech. Anal.17, 85–112, (1964).

    Google Scholar 

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Based upon work supported by National Science Foundation Grant No. CEE-8213256, and dedicated to my friend Ekkehart Kröner on the occasion of his 65th birthday.

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Reissner, E. A further note on finite-strain force and moment stress elasticity. Journal of Applied Mathematics and Physics (ZAMP) 38, 665–673 (1987). https://doi.org/10.1007/BF00948288

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  • DOI: https://doi.org/10.1007/BF00948288

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