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Phase changes induced by deformation in isothermal elastic crystals. (English) Zbl 0679.73060

Summary: A finite-difference computer program is used to investigate equilibrium boundary value problems involving permanent elastic deformations in plane strain. The hypothetical materials studied have strain energy density functions possessing multiple local minima. These minima represent the stress-free conditions of the separate phases. Metastable phases are predicted, and the influence of the relative stability of the phases on the equilibrium configurations is demonstrated. The numerical solutions show phenomena similar to martensitic transformation and twinning.

MSC:

74A15 Thermodynamics in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
74B20 Nonlinear elasticity
74E10 Anisotropy in solid mechanics

Software:

CHIMP
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Full Text: DOI

References:

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