Can equations of equilibrium predict all physical equilibria? A case study from Field Dislocation Mechanics

DOI10.1177/1081286512451940OpenAlexW2120754301WikidataQ59902165 ScholiaQ59902165MaRDI QIDQ5137425

Amit Das, Johannes Zimmer, Amit Acharya, Karsten Matthies

Publication date: 2 December 2020

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://figshare.com/articles/journal_contribution/Can_equations_of_equilibrium_predict_all_physical_equilibria_A_case_study_from_Field_Dislocation_Mechanics/6466253

zbMATH Keywords

microstructureplasticitydislocation mechanicsquasi-equilibria

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Related Items (4)

Microstructure in plasticity without nonconvexity ⋮ Continuum Mechanics of the Interaction of Phase Boundaries and Dislocations in Solids ⋮ A non-traditional view on the modeling of nematic disclination dynamics ⋮ Existence and uniqueness of continuous solution for a non-local coupled system modeling the dynamics of dislocation densities

Cites Work

• New inroads in an old subject: plasticity, from around the atomic to the macroscopic scale
• Travelling wave solutions for a quasilinear model of field dislocation mechanics
• On boundary conditions and plastic strain-gradient discontinuity in lower-order gradient plasticity
• Metastable patterns in solutions of u_t = ϵ²u_xx − f(u)
• Unnamed Item

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