Extremal principles of the theory of small thermoviscoelastic deformations superposed on fully established finite deformations

DOI10.1007/BF00884021zbMath0458.73007OpenAlexW1998782045MaRDI QIDQ3908525

Igor K. Senchenkov

Publication date: 1980

Published in: Soviet Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00884021

zbMATH Keywords

linearlized thermoviscoelasticityminimal and maximal principles

Mathematics Subject Classification ID

Variational inequalities (49J40) Thermal effects in solid mechanics (74F05) Nonlinear constitutive equations for materials with memory (74D10) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Cites Work

• Unnamed Item
• Small bending of a circular bar superposed on finite extension or compression
• Variational principles for linear elastodynamics
• On the general theory of stability for elastic bodies
• Thermoelastic stresses in initially stressed bodies
• Variational principles in the linear dynamic theory of viscoelasticity
• Propagation of Sinusoidal Small-Amplitude Waves in a Deformed Viscoelastic Solid. I