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Reflection of hygrothermal waves in a Nonlocal Theory of coupled thermo-elasticity
Mechanics of Advanced Materials and Structures, 2022The investigation of the reflection issue in a hygrothermal medium in nonlocal elasticity is the focus of the current research project. The velocity equation is created by formulating and solving the governing equations of a hygro-thermoelastic material.
Dr. Anand Kumar Kumar Yadav +3 more
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The Biharmonic Problem in the Theory of Elasticity
, 2020Homogeneous solutions for the biharmonic problem method of solution for the biharmonic problem of mathematical physics plane problem of the theory of elasticity in cartesian co-ordinates plane problem of the theory of elasticity in polar co-ordinates ...
S. Lurie, V. Vasiliev
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2005
Stress Tensor.- Deformation of a Continuum.- The Constitutive Laws of the Linear Theory of Elasticity.- Governing Relationships in the Linear Theory of Elasticity.- Three-dimensional Problems in the Theory of Elasticity.- Saint-Venant's Problem.- The Plane Problem of the Theory of Elasticity.- Constitutive Laws for Nonlinear Elastic Bodies.- Problems ...
A. I. Lurie, Alexander Belyaev
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Stress Tensor.- Deformation of a Continuum.- The Constitutive Laws of the Linear Theory of Elasticity.- Governing Relationships in the Linear Theory of Elasticity.- Three-dimensional Problems in the Theory of Elasticity.- Saint-Venant's Problem.- The Plane Problem of the Theory of Elasticity.- Constitutive Laws for Nonlinear Elastic Bodies.- Problems ...
A. I. Lurie, Alexander Belyaev
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Generalized elasticity theory of quasicrystals
Physical Review B, 1993The classical theory of elasticity describing three- and lower-dimensional systems is generalized to higher-dimensional spaces. The elastic properties of quasicrystals can be derived from this theory, appropriately. The practical application is given to pentagonal, octagonal, dodecagonal, and icosahedral quasicrystals. The explicit form is obtained for
, Ding, , Yang, , Hu, , Wang
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Microscopic theory of rubber elasticity
The Journal of Chemical Physics, 2004A microscopic integral equation theory of elasticity in polymer liquids and networks is developed which addresses the nonclassical problem of the consequences of interchain repulsive interactions and packing correlations on mechanical response. The theory predicts strain induced softening, and a nonclassical intermolecular contribution to the linear ...
Folusho T, Oyerokun +1 more
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Nonlinear Theory of Elastic Surfaces
Journal of Mathematical Physics, 1966The present paper develops a nonlinear theory for the deformation of an elastic surface by assuming the existence of a strain energy function and postulating a principle of virtual work which governs its mechanical behavior. By considering the strain energy function to depend on the first- and second-order deformation gradients, the field equations and
Cohen, H., DeSilva, C. N.
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Theory of finite elastic consolidation
International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 1977Presented in this paper is a general theory describing the consolidation of a porous elastic soil. The formulation allows for the occurrence of finite geometry changes and finite elastic strains during the consolidation process. The governing equations have been cast in a rate form and the laws which determine deformation and pore fluid flow, i.e ...
Carter, J. P. +2 more
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1976
An inspection of the mechanical laws described in the last chapter reveals one scalar equation expressing the conservation of mass, three scalar equations expressing the balance of linear momentum, and three scalar equations expressing the balance of angular momentum, thus giving a total of seven equations in all.
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An inspection of the mechanical laws described in the last chapter reveals one scalar equation expressing the conservation of mass, three scalar equations expressing the balance of linear momentum, and three scalar equations expressing the balance of angular momentum, thus giving a total of seven equations in all.
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The two-dimensional adhesive contact problem in the theory of couple stress elasticity
Journal of Adhesion Science and Technology, 2019The adhesive contact problem of a half-space indented by a rigid cylindrical punch in the theory of couple-stress elasticity is investigated. Both the size effect and adhesion are considered to analyze the two-dimensional frictionless contact problem ...
Peixing Li, Tie-Jun Liu
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Elasticity Theory of Plates and a Refined Theory
Journal of Applied Mechanics, 1979A method for the solution of three-dimensional elasticity equations is presented and is applied to the problem of thick plates. Through this method three governing differential equations, the well-known biharmonic equation, a shear equation and a third governing equation, are deduced directly and systematically from Navier’s equations. It is then shown
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