BIFURCATIONS IN A BOUNDARY-VALUE PROBLEM OF A NONLINEAR MODEL FOR STRESS-INDUCED PHASE TRANSITIONS

DOI10.1142/S0218127411030489zbMath1258.35019OpenAlexW2081892702MaRDI QIDQ4908429

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Publication date: 5 March 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127411030489

zbMATH Keywords

phase transformationbifurcationnonlinear boundary-value problemperturbation-incremental method

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Phase transformations in solids (74N99) Bifurcations in context of PDEs (35B32) Boundary value problems for second-order elliptic systems (35J57)

Related Items (1)

Phenomena of Bifurcation and Chaos in the Dynamically Loaded Hyperelastic Spherical Membrane Based on a Noninteger Power-Law Constitutive Model

Cites Work

• Equilibrium of bars
• A perturbation-incremental method for strongly nonlinear autonomous oscillators with many degrees of freedom
• On constructing the unique solution for the necking in a hyperelastic rod
• A perturbation-incremental method for strongly nonlinear oscillators
• Bifurcation to a corner-like formation in a slender nonlinearly elastic cylinder: asymptotic solution and mechanism
• Phase transitions in a slender cylinder composed of an incompressible elastic material. I. Asymptotic model equation
• Phase transitions in a slender cylinder composed of an incompressible elastic material. II. Analytical solutions for two boundary-value problems
• Proposed experimental tests of a theory of fine microstructure and the two-well problem

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