Continuous dependence theorems in the theory of linear elastic materials with microstructure

DOI10.1016/0020-7225(76)90020-3zbMath0332.73100OpenAlexW2079580182MaRDI QIDQ1228268

Brian Straughan, Robin J. Knops

Publication date: 1976

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(76)90020-3

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Polar materials (74A35) Micromechanical theories (74A60)

Related Items

Uniqueness and continuous dependence in the linear elastodynamic exterior and half-space problems, On a theory of thermoviscoelastic materials with voids, A note on the exterior problem for linear viscoelasticity, Continuous dependence theorems in linear elasticity on exterior domains

Cites Work

• Unnamed Item
• Unnamed Item
• Sul teorema di unicita nella dinamica dei fluidi
• Multipolar continuum mechanics
• The linear theory of micropolar thermoelasticity
• Stability in linear elasticity
• Some theorems in classical elastodynamics
• Logarithmic convexity and the Cauchy problem for some abstract second order differential inequalities
• A uniqueness theorem in the linear theory of elasticity with microstructure
• Growth estimates for solutions of evolutionary equations in Hilbert space with applications in elastodynamics
• Micro-structure in linear elasticity
• Continuous dependence on data for solutions of partial differential equations with a prescribed bound
• ON THE CONTINUUM THEORIES OF DISLOCATIONS AND PLASTICITY
• Some Continuous Dependence Theorems for Viscous Fluid Motions
• Some results in the linear dynamical theory of anisotropic elastic solids