Journal ArticleDOI
Deformations possible in every isotropic, incompressible, perfectly elastic body
TLDR
In this article, the authors derive trois solutions des equations de l'elasticite non lineaire and determine les deformations qui sont possibles dans un solide isotrope and incompressible quelconque.Abstract:
Nous avons derive trois solutions des equations de l'elasticite non lineaire. Nous avons determine les deformations qui sont possibles dans un solide isotrope et incompressible quelconque.read more
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The non-linear field theories of mechanics
TL;DR: A theory aiming to describe their mechanical behavior must take heed of their deformability and represent the definite principles it obeys as mentioned in this paper, which is not the case in modern physics, since it concerns solely the small particles of matter.
Journal ArticleDOI
Tension-field theory
TL;DR: In this paper, a general theory of the tension field is developed for application to the analysis of wrinkling in isotropic elastic membranes undergoing finite deformations, where the principal contribution is a partial differential equation describing a geometrical property of tension trajectories.
Journal ArticleDOI
Introduction to Higher Algebra. By Maxime Bôcher. Pp. xi, 321. New York: The Macmillan Company. 1907.
Journal ArticleDOI
Deformations Possible in Every compressible, Isotropic, Perfectly Elastic Material
Journal ArticleDOI
How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity.
L. Angela Mihai,Alain Goriely +1 more
TL;DR: Several nonlinear constitutive parameters, including the stretch modulus, the shear modulus and the Poisson function, that are defined for homogeneous isotropic hyperelastic materials and are measurable under axial or shear experimental tests are reviewed.
References
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Journal ArticleDOI
Large elastic deformations of isotropic materials IV. further developments of the general theory
TL;DR: In this article, the surface forces necessary to produce simple shear in a cuboid of either compressible or incompressible material and those required to generate simple torsion in a right-circular cylinder of incompressibly material are derived.
Journal ArticleDOI
Introduction to Higher Algebra. By Maxime Bôcher. Pp. xi, 321. New York: The Macmillan Company. 1907.
Journal ArticleDOI
Large elastic deformations of isotropic materials. V. The problem of flexure
TL;DR: In this paper, it was shown that a cuboid of highly elastic incompressible material, whose stored energy function W is a function of the strain invariants, has its edges parallel to the axes x, y and z of a rectangular Cartesian co-ordinate system.