Discrete differential geometry and its role in computational modeling of defects and inelasticity (Q6166449)
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scientific article; zbMATH DE number 7721791
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Discrete differential geometry and its role in computational modeling of defects and inelasticity |
scientific article; zbMATH DE number 7721791 |
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Discrete differential geometry and its role in computational modeling of defects and inelasticity (English)
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2 August 2023
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In continuum mechanics, many concepts can be studied using the geometric tools offered by differential geometry: Riemannian metrics, parallel transport, curvature, torsion. In this paper, the author uses discrete differential geometry and the induced discrete geometric tools (discrete curvature, discrete parallel transport) to develop a discrete geometry of inelastic materials, for studying material defects (microcracks, dislocations and incoherent boundaries) as well as for formulating balance laws and constitutive relations.
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discrete affine connection
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discrete parallel transport
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discrete microcracking
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dual edge metric
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discrete dislocation
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discrete second law of thermodynamics
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