Numerical analysis of mixed mode fracture under compression-shear loading based on extended finite element method

YANG Qing; WANG Chao

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Numerical analysis of mixed mode fracture under compression-shear loading based on extended finite element method

更新时间：2026-06-25

- Numerical analysis of mixed mode fracture under compression-shear loading based on extended finite element method
- Vol. 32, Issue S2, (2011)
- 作者机构：
  
  1. 大连理工大学岩土工程研究所,辽宁,大连,116024
  2. 大连理工大学海岸和近海工程国家重点实验室,辽宁,大连,116024
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU45
- Online First：26 August 2011，
  
  Published：2011
- 稿件说明：
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YANG Qing, WANG Chao. Numerical analysis of mixed mode fracture under compression-shear loading based on extended finite element method[J]. 2011, 32(S2).
DOI：

YANG Qing, WANG Chao. Numerical analysis of mixed mode fracture under compression-shear loading based on extended finite element method[J]. 2011, 32(S2). DOI：

摘要

针对岩石类材料压剪破坏，国内外学者做了大量真实岩石和模型材料的试验，并进行相应的数值模拟工作。但由于试验结果往往具有很强的离散性，且对影响试验结果的各因素缺乏系统地理论分析，加之传统常规有限元在处理裂纹这类强不连续问题时存在很大的困难，如在裂尖附近的高应力区需要剖分令人难以接受的密度的网格，同时在模拟裂纹生长时还需要对网格进行重新剖分，操作繁琐复杂，效率极低，因此，针对压剪复合断裂翼裂纹扩展规律的研究始终没有取得令人满意的成果。对原生裂纹的几何形态，主裂纹面与其间填充物的相互作用对翼裂纹起裂角的影响做了系统的理论分析，并利用扩展有限元对翼型裂纹扩展全过程进行数值模拟，与理论分析结果对比，吻合良好。相关成果为以后针对压剪复合断裂的研究提供了理论分析框架，同时对今后相关试验的开展具有理论指导作用

Abstract

A large number of real rock and model material experiments and numerical simulations on the mixed mode fracture under compression-shear loading had been carried out by scholars at home and abroad. However

due to the discreteness of the test results and lack of influencing factors research on the test results

also the conventional finite element method has many difficulties to deal with the strong discontinuities

such as the crack

we need to make a high density mesh on the crack tip which is the stress focus zone

also

we need to remesh as the crack grows

it is complicated and low efficiency

little satisfactory results on mixed mode fracture under compression-shear loading experiments were obtained. Therefore

a theoretical and numerical analysis were carried out to investigate the influence of geometric characteristics of the flaw on the initiation angles of wing cracks

the interactions between the filling materials and the surface of flaws were considered; the numerical analysis based on extended finite element method shows good agreements with theoretical analysis. The proposed method will provide a theoretical frame for the experimental analysis of mixed mode fractures under compression-shear loading experiments

and it also has a theory instruction function to the relevant experiments in the future.

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