On evolving natural curvature for an inextensible, unshearable, viscoelastic rod

DOI10.1007/s10659-022-09956-7MaRDI QIDQ6612642

👤 C. Rodriguez 👤 K. R. Rajagopal

Publication date: 1 October 2024

Published in: Journal of Elasticity (Search for Journal in Brave)

zbMATH Keywords

spectrumglobal well-posednesslinearized equationinfinite-dimensional dynamical systemconvergence to equilibrium pointquasistatic Eulerian strut

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear constitutive equations for materials with memory (74D10) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Geometric theory of semilinear parabolic equations
• The elastica and the problem of the pure bending for a non-convex stored energy function
• Equilibrium of bars
• On the thermomechanics of shape memory wires
• Inelastic behavior of materials. II: Energetics associated with discontinuous deformation twinning
• On the local structure of \(\omega\)-limit sets of maps
• On the thermomechanics of materials that have multiple natural configurations
• On the thermomechanics of materials that have multiple natural configurations part I: Viscoelasticity and classical plasticity
• On the inelastic behavior of solids. I: Twinning
• A thermodynamic framework for rate-type fluid models
• The Thermodynamics of Irreversible Processes. IV. The Theory of Elasticity and Anelasticity
• Nonlinear problems of elasticity

This page was built for publication: On evolving natural curvature for an inextensible, unshearable, viscoelastic rod