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.

引用

页码：9200 / 9208

页数：9

共 50 条

[21] An adaptive multiscale method for crack propagation and crack?coalescence
Holl, M.
Loehnert, S.
Wriggers, P.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2013, 93 (01) : 23 - 51
[22] A METHOD FOR DETERMINING DISPLACEMENTS OF CRACK SURFACES
BORODACHEV, NM
INTERNATIONAL APPLIED MECHANICS, 1993, 29 (07) : 520 - 525
[23] A NEW METHOD FOR DETERMINING PROPAGATION RATE COEFFICIENTS AT HIGH FRACTION OF POLYMER
LESLIE, GL
MAXWELL, IA
BALLARD, MJ
GILBERT, RG
NAPPER, DH
AUSTRALIAN JOURNAL OF CHEMISTRY, 1988, 41 (02) : 279 - 281
[24] NEW METHOD OF DETERMINING WAVE-PROPAGATION CONSTANT IN TEMPERATURE PLASMAS
BHAGAVAT, GK
VANVARI, N
PLASMA PHYSICS AND CONTROLLED FUSION, 1980, 22 (02) : 175 - 183
[25] A method of studying crack propagation in ceramics
Barinov, SM
INDUSTRIAL LABORATORY, 1996, 62 (10): : 641 - 643
[26] Crack Propagation by Finite Element Method
Ricardo, Luiz Carlos H.
FRATTURA ED INTEGRITA STRUTTURALE, 2018, 12 (43): : 57 - 78
[27] Crack propagation by a meshless method, EFG
Belytschko, T
Fleming, M
Krysl, P
Krongauz, Y
PROCEEDINGS OF THE SEVENTH INTERNATIONAL CONFERENCE ON COMPUTING IN CIVIL AND BUILDING ENGINEERING, VOLS 1-4, 1997, : 19 - 28
[28] Research of optimization for crack propagation method
Yang, Yali
Xu, Kangbin
Chen, Hao
Li, Yongfang
Xu, Sha
Gao, Kun
Zhang, Ruoping
THEORETICAL AND APPLIED FRACTURE MECHANICS, 2022, 118
[29] Simulation of crack propagation by MSIM method
Su, Feng
Cai, Yongchang
Zhongnan Daxue Xuebao (Ziran Kexue Ban)/Journal of Central South University (Science and Technology), 2014, 45 (07): : 2360 - 2368
[30] A new method for determining the crack classification criterion in acoustic emission parameter analysis
Zhang, Zheng-Hu
Deng, Jian-Hui
INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES, 2020, 130 (130)

← 1 2 3 4 5 →