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《结构与土木工程前沿(英文)》 >> 2015年 第9卷 第4期 doi: 10.1007/s11709-015-0319-5

Thermo-elastic extended meshfree method for fracture without crack tip enrichment

Department of Engineering Mechanics, University of Tehran, Tehran, Iran

录用日期: 2015-11-19 发布日期: 2015-11-26

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摘要

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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