Interaction between a macrocrack and a cluster of microcracks by Muskhelishvili's complex potential method
type: Item
instance of: scholarly article
title: Interaction between a macrocrack and a cluster of microcracks by Muskhelishvili's complex potential method
zbMATH Open document ID: 1427.74154
DOI: 10.1155/2018/8049318
author: Xu Li
author: Xiaotao Li
author: Hongda Yang
author: Xiao-Yu Jiang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: The interaction between a macrocrack and a cluster of microcracks has been investigated based on Muskhelishvili's complex potential method. A step-by-step subproblem procedure is used to satisfy the stress boundary conditions on each crack surface. The interactions between a cluster of microcracks and a macrocrack and the interaction among microcracks are analyzed. Three damage configurations as chained, reverse-chained, and randomly distributed microcracks have been designed to simulate the damage around the macrocrack tip. The solution of an infinite elastic plane containing a macrocrack and a cluster of microcracks is presented for the plane subjected to a uniform tensile load. The stress intensity factor (SIF) at the macrocrack tip and the microcrack tips is obtained. The results show that the inclination angle of the microcrack and the distance between the macrocrack and microcracks have a great influence on SIF. When the inclination angle is small, the SIF at microcrack tips may be larger than other inclination angles. These results are helpful to analyze the fracture or damage behaviors of materials.
Mathematics Subject Classification ID: 74R10
zbMATH DE Number: 7019540
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/8049318
OpenAlex ID: W2896100517
cites work: General solution to the problem of microcracks near the tip of a main crack
cites work: A general solution to the antiplane problem of an arbitrarily located elliptical hole near the tip of a main crack
cites work: Microdefect interacting with a main crack: A general treatment
cites work: Interacting micro-cracks near the tip in the process zone of a macro- crack
cites work: Elastic solids with many cracks: a simple method of analysis
cites work: Q4457114
cites work: A mesoscopic model for inelastic deformation and damage
cites work: Interaction between cracks and effect of microcrack zone on main crack tip
cites work: On the interaction and branching of fast running cracks -- a numerical investigation
cites work: Interaction of penny-shaped cracks with a half-plane crack
cites work: Q4051682
cites work: Q4308964
Wikidata QID: Q129112154
description: scientific article; zbMATH DE number 7019540