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Thermo-elastic extended meshfree method for fracture without crack tip enrichment
Abstract This is the first manuscript presenting an extended meshfree method for thermo- elastic fracture which does not exploit a crack tip enrichment. The crack is modeled by partition of unity enrichment of the displacement and temperature field. Only a step function is employed that facilitates the implementation. To ensure that crack tip is at the correct position, a Lagrange multiplier field ahead of the crack tip is introduced along a line. The Lagrange multiplier nodal parameters are discretised with the available meshfree functions. Two benchmark examples illustrate the efficiency of the method.
Thermo-elastic extended meshfree method for fracture without crack tip enrichment
Abstract This is the first manuscript presenting an extended meshfree method for thermo- elastic fracture which does not exploit a crack tip enrichment. The crack is modeled by partition of unity enrichment of the displacement and temperature field. Only a step function is employed that facilitates the implementation. To ensure that crack tip is at the correct position, a Lagrange multiplier field ahead of the crack tip is introduced along a line. The Lagrange multiplier nodal parameters are discretised with the available meshfree functions. Two benchmark examples illustrate the efficiency of the method.
Thermo-elastic extended meshfree method for fracture without crack tip enrichment
Asadpour, A. (author)
Frontiers of Structural and Civil Engineering ; 9 ; 441-447
2015-11-23
7 pages
Article (Journal)
Electronic Resource
English
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