Perturbation method for solving the nonlinear eigenvalue problem arising from fatigue crack growth problem in a damaged medium
type: Item
instance of: scholarly article
title: Perturbation method for solving the nonlinear eigenvalue problem arising from fatigue crack growth problem in a damaged medium
zbMATH Open document ID: 1449.74101
author: L. V. Stepanova
author: S. A. Igonin
published in: Applied Mathematical Modelling
publication date: 2018-12-12T00:00:00Z
Mathematics Subject Classification ID: 74G70
Mathematics Subject Classification ID: 74R99
Mathematics Subject Classification ID: 74S15
Mathematics Subject Classification ID: 30E10
Mathematics Subject Classification ID: 74R15
Mathematics Subject Classification ID: 74S25
zbMATH DE Number: 6992518
zbMATH Keywords: nonlinear fracture mechanics
zbMATH Keywords: nonlinear eigenvalue problem
zbMATH Keywords: cyclic loading
zbMATH Keywords: crack growth in a damaged medium
zbMATH Keywords: perturbation method
zbMATH Keywords: analytical solution
MaRDI profile type: Publication
full work available at URL: j.apm.2013.11.057
OpenAlex ID: W2073047975
cites work: Q3242691
cites work: A new boundary element approach of modeling singular stress fields of plane V-notch problems
cites work: Evaluation of the stress singularities of plane V-notches in bonded dissimilar materials
cites work: Fracture analysis of V-notched components - effects of first non-singular stress term
cites work: Fracture mechanics. Inverse problems and solutions.
cites work: Computational methods for creep fracture analysis by damage mechanics
cites work: Asymptotic fields of stress and damage of a mode I creep crack in steady-state growth
cites work: Q4318504
cites work: Q4526782
cites work: Q4821339
cites work: Beyond Perturbation
cites work: Eigenvalue analysis for a crack in a power-law material
cites work: Q4849540
cites work: Higher order fields at crack and notch tips in power-law materials under longitudinal shear
cites work: Q5472790
cites work: Q3652032
cites work: Linear and Nonlinear Structural Mechanics
cites work: Q3921474
cites work: Q4798685
cites work: Nonlinearity, Bifurcation and Chaos - Theory and Applications
DOI: 10.1016/J.APM.2013.11.057
description: scientific article; zbMATH DE number 6992518