A new method for determining crack propagation

被引：0
|
作者：
da Silva Jr, Claudio R. Avila [1 ]
dos Santos, Bruno [1 ]
机构：
[1] PPGEM Fed Univ Technol Parana UTFPR, NuMAT, 5000 Deputado Heitor Alencar Furtado St, BR-81280340 Curitiba, Brazil
来源：
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE | 2024年 / 238卷 / 18期
关键词：
Fast crack bounds; numerical solutions; Taylor series; Paris-Erdogan Law; BOUNDS;
D O I：
10.1177/09544062241253507
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
This paper presents a new method for obtaining approximate closed-form solutions for crack propagation problems. In general, it is not possible to obtain explicit solutions of the parameters and elementary functions of these problems, due to their terms complexity, present in their definitions. In this way, we used numerical methods to obtain approximate numerical solutions. The method presented in this article provides a proposal, which, when defined by differential equations, is applicable and extensible to other problems. The approximate solutions are obtained as an exact solution of a modified initial value problem. The performance is evaluated in relation to problems with known exact solution.
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页码：9200 / 9208
页数：9
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