journal article·2001-10

Fracture Parameter for Thermoplasticity in the Case of Dilatation Symmetry

Pascal Sansen, Philippe Dufrénoy, Dieter Weichert

International Journal of Fracture· Volume 111· Issue 4
Publisher page

Abstract

An extension of the M integral to thermoplasticity related to the dilatational or scaling symmetry is presented. Based on a discrete Lagrangian describing the thermo‐inelastic system andon Noether's theorem defining the conservation law, the null Lagrangian theorem is applied in order to introduce thermoplasticity. By the use of the divergence theorem, the modified M integral is obtained.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Numerical methods in engineering · Elasticity and Wave Propagation · Rock Mechanics and Modeling

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References (8)

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