Accurate and efficient analysis of stationary and propagating crack problems by meshless methods

Khosravifard, Amir; Hematiyan, M. R.; Bui, Tinh Quoc; Thom, Do Van

doi:10.1016/j.tafmec.2016.10.004

Cited by 79 publications

(19 citation statements)

References 59 publications

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“…The meshfree radial point interpolation method (RPIM) is very well suited for analysis of crack propagation problems since it is accurate and computationally efficient, and, unlike the finite element method, does not require mesh generation at each step of crack propagation. [29][30][31] For the inverse analysis, the density clustering method 32 is adopted for the global optimization approach and the damped Gauss-Newton method is used for the local search algorithm. It is shown through two example problems that the proposed procedure fits very well for the load identification of a component fractured along a known path.…”

Section: Introductionmentioning

confidence: 99%

An inverse procedure for identification of loads applied to a fractured component using a meshfree method

Liaghat

Khosravifard

Hematiyan

et al. 2021

Numerical Meth Engineering

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An efficient iterative inverse procedure is proposed for the identification of the distribution of loads that has led to a specific crack propagation path in a fractured component. This procedure determines the load applied to a part of the boundary based on the captured crack propagation path. The aim of this work, which is the first time to be presented, is important from the perspective of failure analysis, especially in the cases where it is not possible to directly measure the applied loading conditions. The inverse analysis requires the direct fracture mechanics problem to be solved for various boundary loading conditions. For each of the forward problems the meshfree radial point interpolation method, which is augmented with the background decomposition method for evaluation of domain integrals is employed. Using meshfree methods makes it possible to deal with the numerous direct problems, which appear in the formulation of the inverse problem, easily, accurately, and efficiently. The inverse problem of identification of the load distribution is formulated as an optimization problem. For solving the global minimization problem, a stochastic optimization method is used, in which the damped Gauss-Newton method is utilized as the local search algorithm. Through two example problems it is shown that the presented approach can be used effectively for the load identification of a component which has fractured along a specific path. K E Y W O R D S background decomposition method, fracture mechanics, inverse problem, load identification, meshfree method

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Section: Introductionmentioning

confidence: 99%

An inverse procedure for identification of loads applied to a fractured component using a meshfree method

Liaghat

Khosravifard

Hematiyan

et al. 2021

Numerical Meth Engineering

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show abstract

“…18,19 In the last years, several models are developed in order to calculate the dynamic stress intensity factor of two-dimensional fracture problems. [20][21][22][23][24] However, these works are not considering the effect of crack velocity on the crack growth simulations.…”

Section: Introductionmentioning

confidence: 99%

Analysis of the stress intensity factor dependence with the crack velocity using a lattice model

Braun

Albuixech

2019

Fatigue Fract Eng Mat Struct

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In this work, the influence of crack propagation velocity in the stress intensity factor has been studied. The analysis is performed with a lattice method and a linear elastic constitutive model. Numerous researchers determined the relationship between the dynamic stress intensity factor and crack propagation velocity with experimental and analytical results. They showed that toughness increases asymptotically when the crack tip velocity is near to a critical. However, these methods are very complex and computationally expensive; furthermore, the model requires the use of several parameters that are not easily obtained. Moreover, its practical implementation is not always feasible. Hence, it is usually omitted. This paper aims to capture the physics of this complex problem with a simple fracture criterion. The selected criterion is based on the maximum principal strain implemented in a lattice model. The method used to calculate the stress intensity factor is validated with other numerical methods. The selected example is a finite 2D notched under mode I fracture and different loads rates. Results show that the proposed model captures the asymptotic behaviour of the SIF in function of crack speed, as reported in the aforementioned models.

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Section: Introductionmentioning

confidence: 99%

“…However, the construction of shape functions is usually very complex in most of the existing meshfree methods and the implementation of essential boundary conditions is also difficult. [29][30][31] To tackle these drawbacks of meshfree methods, Liu and Gu 32 introduced a point interpolation method (PIM) in the early 2000s. 32 In the PIM, shape functions are easily constructed by polynomial interpolation, which possess delta function property.…”

Section: Introductionmentioning

confidence: 99%

Elastic-plastic analysis of multi-material structures using edge-based smoothed point interpolation method

Feng

Cheng

2018

Proceedings of the Institution of Mechanical Engineers, Part C:

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An edge-based smoothed point interpolation method is formulated to deal with elastic-plastic analysis of multi-material structures. The problem domain is discretized using triangular elements and field functions are approximated using point interpolation method shape functions. Edge-based smoothing domains are constructed based on the edge of triangular cells and smoothing operations are then performed in these integral domains. Numerical examples with different kinds of material models are investigated to fully verify the validity of the present method. It is observed that all edge-based smoothed point interpolation method models can achieve much better accuracy and higher convergence rate than the standard finite element method, when dealing with elastic-plastic analysis of multi-material structures.

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Accurate and efficient analysis of stationary and propagating crack problems by meshless methods

Cited by 79 publications

References 59 publications

An inverse procedure for identification of loads applied to a fractured component using a meshfree method

An inverse procedure for identification of loads applied to a fractured component using a meshfree method

Analysis of the stress intensity factor dependence with the crack velocity using a lattice model

Elastic-plastic analysis of multi-material structures using edge-based smoothed point interpolation method

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