Multiple development of new phase inclusions in elastic solids

DOI10.1016/j.ijengsci.2008.09.015zbMath1213.74244OpenAlexW2022775306MaRDI QIDQ541078

Elena N. Vilchevskaya, Alexander B. Freidin

Publication date: 4 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2008.09.015

zbMATH Keywords

compositesheterogeneous deformationstress-induced phase transformationssymmetry-consistent approach

Mathematics Subject Classification ID

Phase transformations in solids (74N99) Random materials and composite materials (74A40)

Related Items

Phase transformations surfaces and exact energy lower bounds ⋮ The Eshelby theorem and patch optimization problem ⋮ Elasticity polarization tensor, surface enthalpy, and Eshelby theorem ⋮ Modeling stress‐affected chemical reactions in composite materials ⋮ On a model of heterogeneous deformation of elastic bodies by the mechanism of multiple appearance of new phase layers ⋮ On equilibrium two-phase microstructures at plane strain ⋮ Multiple development of new phase inclusions in elastic solids ⋮ Solvability of the equivalent inclusion problem for an ellipsoidal inhomogeneity ⋮ Description of liquid-gas phase transition in the frame of continuum mechanics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiple development of new phase inclusions in elastic solids
• Two-phase deformations of elastic solids
• Finite deformation by mechanical twinning
• An admissibility condition for equilibrium shocks in finite elasticity
• Solid phase seeds in a deformable material
• Finite element simulations of martensitic phase transitions and microstructures based on a strain softening model
• Propagation of longitudinal elastic waves in composites with a random set of spherical inclusions (effective field approach)
• Thermodynamic methods in the theory of heterogeneous systems
• The energy of inclusions in linear media exact shape-independent relations
• Stress concentration on an ellipsoidal inhomogeneity in an anisotropic elastic medium
• Variational methods for structural optimization
• Deformation of adaptive materials. I: Constrained deformation of polydomain crystals
• On a model of heterogeneous deformation of elastic bodies by the mechanism of multiple appearance of new phase layers
• Spherically symmetric two-phase deformations and phase transition zones
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• The Overall Elastic Response of Composite Materials
• On new phase inclusions in elastic solids