Generic stability in dissipative generalized mechanics
P. V\'an
TL;DR
This paper develops a thermodynamics-based framework for dissipative generalized continuum mechanics, deriving microdeformation evolution equations and establishing conditions for generic stability of homogeneous equilibrium.
Contribution
It introduces a thermodynamic approach to dissipative generalized mechanics and derives stability conditions for microdeformation evolution.
Findings
Derived evolution equations for microdeformation
Established conditions for generic stability
Demonstrated linear asymptotic stability of equilibrium
Abstract
A theory of dissipative generalized continuum mechanics is presented in the framework of weakly nonlocal non-equilibrium thermodynamics. The evolution equation of microdeformation is obtained by thermodynamic principles. Conditions of generic stability, the linear asymptotic stability of homogeneous equilibrium, is derived in a simple but representative case.
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Taxonomy
TopicsThermoelastic and Magnetoelastic Phenomena · Nonlocal and gradient elasticity in micro/nano structures · Advanced Thermodynamics and Statistical Mechanics