Frontiers of Structural and Civil Engineering
>> 2015,
Volume 9,
Issue 4
doi:
10.1007/s11709-015-0319-5
RESEARCH ARTICLE
Thermo-elastic extended meshfree method for fracture without crack tip enrichment
Department of Engineering Mechanics, University of Tehran, Tehran, Iran
Accepted: 2015-11-19
Available online: 2015-11-26
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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.
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