Journal ArticleDOI
On the finite deformation and heating of thermoelastic spherical sectors
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In this article, the possibility of holding certain non-uniform temperature fields in finitely deformed spherical sectors is considered and an exact solution in spherical coordinates to the coupled equations of thermoelasticity for Fourier-like materials is given.Abstract:
The possibility of holding certain non-uniform temperature fields in finitely deformed spherical sectors is considered. An exact solution in spherical coordinates to the coupled equations of thermoelasticity for Fourier-like materials is given.read more
Citations
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Journal ArticleDOI
Geometric nonlinear thermoelasticity and the time evolution of thermal stresses
Souhayl Sadik,Arash Yavari +1 more
TL;DR: In this paper, the authors formulate a geometric theory of nonlinear thermoelasticity that can be used to calculate the time evolution of temperature and thermal stress fields in a nonlinear elastic body.
Journal ArticleDOI
Inhomogeneous deformations in finite thermo-elasticity
TL;DR: In this article, a generalization of the classical neo-Hookean model in which the shear modulus is allowed to depend on the temperature was proposed. But the results were limited to the isothermal case.
Book ChapterDOI
On Boundary Layer-Like Structures in Finite Thermoelasticity
TL;DR: In this article, inhomogeneous deformations are discussed within the context of finite thermoelasticity with a view toward describing the formation of boundary layer-like structures, and it can be shown that in dynamic problems, a boundary layer can also be associated with a region wherein the vorticity is confined, similar to the situation in fluids.
Journal ArticleDOI
Influence of Thermal Expansion in an Inhomogeneous Stationary Temperature Field on the Inhomogeneous Stress-Strain State of an Incompressible Elastomer Solid under Static Finite Deformations
TL;DR: In this paper, a modification of the statement of the problem of statics of a homogeneous isotropic incompressible material at finite deformations is proposed, taking into account thermal expansion.
References
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Journal ArticleDOI
Large Elastic Deformations of Isotropic Materials. VII. Experiments on the Deformation of Rubber
R. S. Rivlin,D. W. Saunders +1 more
TL;DR: In this paper, it was shown that the load-deformation curves obtained for certain simple types of deformation of vulcanized rubber test-pieces in terms of a single stored energy function can be interpreted on the basis of the theory of large elastic deformations of incompressible isotropic materials.
Journal ArticleDOI
Note on Ericksen's problem
Manohar Singh,Allen C. Pipkin +1 more
TL;DR: In this article, aufsatz beweist die Existenz einer DreiParameter-Familie von inhomogenen Deformationen with konstanten Deformationsinvarianten.
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