Hysteresis in discrete systems of possibly interacting elements with a double-well energy

DOI10.1007/BF01208928zbMath0814.73004MaRDI QIDQ1322789

B. Fedelich, Giovanni Zanzotto

Publication date: 5 May 1994

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

zbMATH Keywords

solid-solid phase transitionsmetallic alloysrelative minimizers of potentialsnap-spring elements

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Phase transitions (general) in equilibrium statistical mechanics (82B26) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)

Related Items

Stick-Slip Interface Motion as a Singular Limit of the Viscosity-Capillarity Model ⋮ Thermodynamics of rate-independent plasticity ⋮ Molecular dynamics of a 2D model of the shape memory effect. II: Thermodynamics of a small system. ⋮ The hysteretic event in the computation of magnetization ⋮ Finite-scale microstructures and metastability in one-dimensional elasticity ⋮ Thermalization of a driven bi-stable FPU chain ⋮ Instability of Hysteretic Phase Interfaces in a Mean-Field Model with Inhomogeneities ⋮ Unfolding pathway and its identifiability in heterogeneous chains of bistable units ⋮ Nonlocality of one-dimensional bilinear hardening–softening elastoplastic axial lattices ⋮ The role of the spinodal region in one-dimensional martensitic phase transitions ⋮ Hysteresis in multi-stable lattices with non-local interactions ⋮ Mechanics of a discrete chain with bi-stable elements ⋮ From discrete visco-elasticity to continuum rate-independent plasticity: rigorous results ⋮ The origin of nucleation peak in transformational plasticity ⋮ Transition waves in bistable structures. II: Analytical solution: wave speed and energy dissipation ⋮ Continuum characterization of novel pseudoelasticity of ZnO nanowires ⋮ Intermittency in crystal plasticity informed by lattice symmetry ⋮ Quasistatic propagation of steps along a phase boundary ⋮ Asymptotic expansions by \(\Gamma \)-convergence ⋮ Dynamics of a Chain of Springs with Nonconvex Potential Energy ⋮ Rate-independent hysteresis in a bi-stable chain. ⋮ Temperature controlled decohesion regimes of an elastic chain adhering to a fixed substrate by softening and breakable bonds

Cites Work

• A model for a body with shape-memory
• The relaxation of a double-well energy
• One-dimensional quasistatic nonisothermal evolution of shape-memory material inside the hysteresis loop
• A model for an elastic-plastic body