A thermodynamically consistent formulation for bending of thermoviscoelastic beams for small deformation, small strain based on classical continuum mechanics

Surana, Karan S.; Mysore, D.; Carranza, Celso H.

doi:10.1080/15376494.2020.1725987

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2020

2024

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Cited by 5 publications

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“…In this derivation: 1) there is no basis for ( 18) from (17). 2) no basis for (19) as strains are spatial derivative of displacements. Nonetheless, if we assume that ( 18) and ( 19) hold, then (22) is the result of correct derivation using them.…”

Section: Introduction and Literature Reviewmentioning

confidence: 99%

Finite Deformation, Finite Strain Nonlinear Dynamics and Dynamic Bifurcation in TVE Solids with Rheology

Surana,

Mathi

2024

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This paper presents a mathematical model consisting of conservation and balance laws (CBL) of classical continuum mechanics (CCM) and ordered rate constitutive theories in Lagrangian description derived using entropy inequality and the representation theorem for thermoviscoelastic solids (TVES) with rheology. The CBL and the constitutive theories take into account finite deformation and finite strain deformation physics and are based on contravariant deviatoric second Piola-Kirchhoff stress tensor and its work conjugate covariant Green's strain tensor and their material derivatives of up to order m and n respectively.

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Section: Introduction and Literature Reviewmentioning

confidence: 99%