Dynamics of discontinuities in elastic solids

Mihhail Berezovski; Arkadi Berezovski

doi:10.1177/1081286517718603

Dynamics of discontinuities in elastic solids

Mihhail Berezovski, Arkadi Berezovski

Mathematics

Tallinn University of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

The paper is devoted to evolving discontinuities in elastic solids. A discontinuity is represented as a singular set of material points. Evolution of a discontinuity is driven by the configurational force acting at such a set. The main attention is paid to the determination of the velocity of a propagating discontinuity. Martensitic phase transition fronts and brittle cracks are considered as representative examples.

Original language	American English
Journal	Mathematics and Mechanics of Solids
Volume	25
DOIs	https://doi.org/10.1177/1081286517718603
State	Published - Jul 14 2017

Keywords

Driving forces
phase transition front
brittle crack
numerical methods
elastic solids

Disciplines

Mechanics of Materials
Numerical Analysis and Computation
Partial Differential Equations

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10.1177/1081286517718603License: Unspecified

Dynamics of Discontinuities in Elastic SolidsFinal published version, 313 KBLicense: CC BY

Cite this

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AB - The paper is devoted to evolving discontinuities in elastic solids. A discontinuity is represented as a singular set of material points. Evolution of a discontinuity is driven by the configurational force acting at such a set. The main attention is paid to the determination of the velocity of a propagating discontinuity. Martensitic phase transition fronts and brittle cracks are considered as representative examples.

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KW - phase transition front

KW - brittle crack

KW - numerical methods

KW - elastic solids

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ER -

Dynamics of discontinuities in elastic solids

Abstract

Keywords

Disciplines

Access to Document

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