On the thermodynamics of non-linear materials with quasi-elastic response

DOI10.1007/BF00276510zbMath0152.43001OpenAlexW2067733449MaRDI QIDQ2525965

Yanyan Li

Publication date: 1966

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00276510

zbMATH Keywords

mechanics of solids

Related Items (20)

Growth and decay of one-dimensional acceleration waves in non-linear materials with anelastic response ⋮ Acceleration waves in anelastic material bodies ⋮ Continuum thermodynamics based on a notion of rate of loss of information ⋮ An axiomatic foundation for continuum thermodynamics ⋮ The existence of steady shock waves in nonlinear materials with memory ⋮ Toward a thermodynamics and mechanics of mixtures ⋮ An extension of the concept of material symmetry ⋮ A general theory of heat conduction with finite wave speeds ⋮ Phases of elastic materials ⋮ On the inclusion of the complete symmetry group in the unimodular group ⋮ Thermodynamics of materials with elastic range ⋮ A fading memory hypothesis which suffices for chain rules ⋮ On the time derivatives of equilibrated response functions ⋮ Thermodynamics based on a work axiom ⋮ On the thermodynamics of materials with memory ⋮ On the thermodynamics of materials with memory ⋮ Thermodynamic influences on the propagation and the growth of acceleration waves in elastic materials ⋮ A theory of thermodynamics for materials with memory ⋮ Relativistic thermodynamics of deformable electromagnetic materials with memory ⋮ Waves in materials with memory. V: On the amplitude of acceleration waves and mild discontinuities

Cites Work

• A mathematical theory of the mechanical behavior of continuous media
• An approximation theorem for functionals, with applications in continuum mechanics
• General and exact theory of waves in finite elastic strain
• The thermodynamics of elastic materials with heat conduction and viscosity
• On thermodynamics, strain impulses, and viscoelasticity
• Stress relaxation and the principle of fading memory
• The principle of fading memory
• Acceleration fronts in viscoelastic materials
• Thermodynamics and the possibility of spatial interaction in elastic materials
• Thermodynamics and the possibility of spatial interaction in rigid heat conductors
• Waves in materials with memory. II: On the growth and decay of one- dimensional acceleration waves
• Waves in materials with memory. III: Thermodynamic influences on the growth and decay of acceleration waves
• On the formulation of rheological equations of state
• A THEOREM ON THE ISOTROPY GROUPS OF A HYPERELASTIC MATERIAL
• The mechanics of non-linear materials with memory
• The mechanics of non-linear materials with memory
• The mechanics of non-linear materials with memory

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