Finite Deformation of Elastic Rods and Shells

作者: P. M. Naghdi

DOI: 10.1007/978-94-009-7538-5_4

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摘要: The objective of this paper is to present an account recent developments in the direct formation theories rods and shells based on 1- 2-dimensional continuum models originating works Duhem E. F. Cosserat. Following some preliminaries description (3-dimensional) shell-like rod-like bodies, rest arranged two parts namely Part A (for shells) B rods) can be read independently each other. In part, after providing main ingredients model a statement conservation laws, rapid outline given derivation basic equations nonlinear constitutive for elastic materials. Each part also includes discussion constrained subject.

参考文章(47)
E. (Eugène) Cosserat, F. (François) Cosserat, Théorie des corps déformables info:edu-jhu-library/collection/brittlebooks/id/barcode/31151000327233. ,(1909)
H. Cohen, C. N. De Silva, On a nonlinear theory of elastic shells. ,(1968)
P. Duhem, Le potentiel thermodynamique et la pression hydrostatique Annales Scientifiques De L Ecole Normale Superieure. ,vol. 10, pp. 183- 230 ,(1893) , 10.24033/ASENS.389
P. M. Naghdi, The Theory of Shells and Plates Linear Theories of Elasticity and Thermoelasticity. pp. 425- 640 ,(1973) , 10.1007/978-3-662-39776-3_5
J.L. Ericksen, Simpler static problems in nonlinear theories of rods International Journal of Solids and Structures. ,vol. 6, pp. 371- 377 ,(1970) , 10.1016/0020-7683(70)90045-4
M. M. Balaban, A. E. Green, P. M. Naghdi, Simple Force Multipoles in the Theory of Deformable Surfaces Journal of Mathematical Physics. ,vol. 8, pp. 1026- 1036 ,(1967) , 10.1063/1.1705309
J. L. Ericksen, The simplest problems for elastic Cosserat surfaces Journal of Elasticity. ,vol. 2, pp. 101- 107 ,(1972) , 10.1007/BF00046058
Large deformation possible in every isotropic elastic membrane Philosophical transactions - Royal Society. Mathematical, physical and engineering sciences. ,vol. 287, pp. 145- 187 ,(1977) , 10.1098/RSTA.1977.0143
J. L. Ericksen, Plane infinitesimal waves in homogeneous elastic plates Journal of Elasticity. ,vol. 3, pp. 161- 167 ,(1973) , 10.1007/BF00052890