Finite-scale microstructures and metastability in one-dimensional elasticity

DOI10.1007/BF01557086zbMath0836.73061OpenAlexW2158777158MaRDI QIDQ1905579

Giovanni Zanzotto, L. M. Truskinovskij

Publication date: 10 January 1996

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01557086

zbMATH Keywords

energy functionalphase transitionselastic barnon-uniquenessdegeneracynonconvex energyinterfacial energynon convex variational problems

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Micromechanical theories (74A60)

Related Items (9)

Mesoscale kinetics produces martensitic microstructure ⋮ Finite-scale microstructures and metastability in one-dimensional elasticity ⋮ The evolution of laminates in finite crystal plasticity: a variational approach ⋮ Geometry and numerical continuation of multiscale orbits in a nonconvex variational problem ⋮ Analysis of microstructures and phase transition phenomena in one-dimensional, non-linear elasticity by convex optimization ⋮ The role of the spinodal region in one-dimensional martensitic phase transitions ⋮ Bifurcation and metastability in a new one-dimensional model for martensitic phase transitions ⋮ Nonconvex energy minimization and dislocation structures in ductile single crystals ⋮ Elasticity with gradient-disarrangements: a multiscale perspective for strain-gradient theories of elasticity and of plasticity

Cites Work

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• Equilibrium of bars
• Singular perturbations as a selection criterion for periodic minimizing sequences
• Hysteresis in discrete systems of possibly interacting elements with a double-well energy
• Finite-scale microstructures and metastability in one-dimensional elasticity

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