Thermo-mechanical fracture study of inhomogeneous cracked solids by the extended isogeometric analysis method

Bayesteh, H.; Afshar, Arman; Mohammdi, S.

doi:10.1016/j.euromechsol.2014.12.004

Cited by 44 publications

(4 citation statements)

References 71 publications

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“…To remove the instabilities in SPH methods, a reproducing kernel particle method (RKPM) [9] and Meshless local-Petrov Galerkin (MLPG) [10] method were developed. e extended finite-element method (XFEM) was introduced by Belytschko and Black [11], as an extension of the standard FEM, and it has been used to deal with crack problems and so on [12][13][14]. Rabczuk and Belytschko [15] proposed the cracking particles method (CPM), and it has been used to model the dynamic crack propagation [16][17][18].…”

Section: Introductionmentioning

confidence: 99%

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Numerical Investigation on Improving the Computational Efficiency of the Material Point Method

Shi

et al. 2021

Mathematical Problems in Engineering

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Based on the basic theory of the material point method (MPM), the factors affecting the computational efficiency are analyzed and discussed, and the problem of improving calculation efficiency is studied. This paper introduces a mirror reflection boundary condition to the MPM to solve axisymmetric problems; to improve the computational efficiency of solving large deformation problems, the concept of "dynamic background domain (DBD)" is also proposed in this paper. Taking the explosion and/or shock problems as an example, the numerical simulation are calculated, and the typical characteristic parameters and the CPU time are compared. The results show that the processing method introducing mirror reflection boundary condition and MPM with DBD can improve the calculation efficiency of the corresponding problems, which, under the premise of ensuring its calculation accuracy, provide useful reference for further promoting the engineering application of this method.

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Section: Introductionmentioning

confidence: 99%

“…Rabczuk and Belytschko [15] proposed the cracking particles method (CPM), and it has been used to model the dynamic crack propagation [16][17][18]. Also, isogeometric analysis (IGA) [14,19] has recently surfaced as a potential technique in the field of solid mechanics analysis.…”

Section: Introductionmentioning

confidence: 99%

Numerical Investigation on Improving the Computational Efficiency of the Material Point Method

Shi

et al. 2021

Mathematical Problems in Engineering

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“…The boundary element method (BEM) is an alternative (as in [10]), but meets dilemmas for modelling thermal nonlinearity [11]. Much success has been achieved via the use of enrichment functions within finite elements and meshless methods to model thermal fracture following their success for the purely mechanical case, for instance, in the extended finite element method (XFEM) [4,12,13], the element free Galerkin method (EFGM) [14][15][16][17], the numerical manifold method (NMM) [18,19], and the isogeometric analysis method (IGA) [20].…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic fracture modelling in 2D by an adaptive cracking particle method without enrichment functions

Augarde

2019

International Journal of Mechanical Sciences

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“…From fracture mechanics point of view, Goli et al [37] implemented the path-independent interaction integral in the context of the partition of unity for mixed mode adiabatic cracks under thermo-mechanical loadings particularly in orthotropic non-homogenous materials for a steady-state thermal problem. Bayesteh et al [38] study a thermo-mechanical fracture of inhomogeneous cracked solids by the extended isogeometric analysis method, crack faces, and tip XFEM enrichment are incorporated into the non-uniform rational basis splines functions of isogeometric analysis (IGA) for static crack and steady-state thermal problem. Jia and Nie [39] adopted XFEM to analyze the interaction between a single or multiple macroscopic or microscopic inclusion and cracks for static crack and under the steady-state thermal problem.…”

Section: Introductionmentioning

confidence: 99%

Full thermo-mechanical coupling using eXtended finite element method in quasi-transient crack propagation

Habib

Sorelli

Fafard

2018

Adv. Model. and Simul. in Eng. Sci.

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This work aims to present a complete full coupling eXtended finite element formulation of the thermo-mechanical problem of cracked bodies. The basic concept of the extended finite element method is discussed in the context of mechanical and thermal discontinuities. Benchmarks are presented to validate at the same time the implementation of stress intensity factors and numerical mechanical and thermal responses. A quasi-transient crack propagation model, subjected to transient thermal load combined with a quasi-static crack growth was presented and implemented into a home-made object-oriented code. The developed eXtended finite element tool for modeling two-dimensional thermo-mechanical problem involving multiple cracks and defects are confirmed through selected examples by estimating the stress intensity factors with remarkable accuracy and robustness.

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Thermo-mechanical fracture study of inhomogeneous cracked solids by the extended isogeometric analysis method

Cited by 44 publications

References 71 publications

Numerical Investigation on Improving the Computational Efficiency of the Material Point Method

Numerical Investigation on Improving the Computational Efficiency of the Material Point Method

Thermoelastic fracture modelling in 2D by an adaptive cracking particle method without enrichment functions

Full thermo-mechanical coupling using eXtended finite element method in quasi-transient crack propagation

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