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- W46755157 abstract "The aim of this study is to establish a criteria based on an energy threshold corresponding to crack initiation in the case of dilatational symmetry of a structure under thermomechanical loading. On the base of the J, L, M integrals presented by Knowles and Sternberg, respectively in the case of translational, rotational and scaling symmetry in the light of Noether’s theory, many path independent integrals have been defined with applications in fracture mechanics. By the formulation of an adequate Lagrangian formulation, the thermoplastic behaviour is introduced in the M integral through the null Lagrangian theorem. Such an integral finds a physical interpretation as an energy release rate in analogy to the J integral. It equals the change in total available energy due to expansion of an existing cavity. A modification of the M* integral is proposed, in order to have the path-domain independence. A new path-domain independent is described in order to obtain the path domain independence for any transformation of the dilatation group." @default.
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- W46755157 date "2006-01-18" @default.
- W46755157 modified "2023-09-23" @default.
- W46755157 title "Thermoplastic M Integral and Path Domain Dependence" @default.
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- W46755157 doi "https://doi.org/10.1007/0-387-26261-x_24" @default.
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