Computational modeling of microstructure

2003/05/01 by Mitchell Luskin, Luskin, Mitchell · 1 citation
Computer Science · Engineering · Materials Science · #49J45 #65N15 #65N30 #74N10 #74N15 #74N30 #Advanced Mathematical Modeling in Engineering #Elasticity and Wave Propagation #FOS: Mathematics #Numerical Analysis (math.NA) #Shape Memory Alloy Transformations

paper · pdf · doi:10.48550/arxiv.math/0305005

openalex publication_date 2003/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Many materials such as martensitic or ferromagnetic crystals are observed to be in metastable states exhibiting a fine-scale, structured spatial oscillation called microstructure; and hysteresis is observed as the temperature, boundary forces, or external magnetic field changes. We have developed a numerical analysis of microstructure and used this theory to construct numerical methods that have been used to compute approximations to the deformation of crystals with microstructure.

Citations

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