Comparison study of MPM and SPH in modeling hypervelocity impact problems

Ma, Shaoping; Zhang, Xiong; Qiu, Xinming

doi:10.1016/j.ijimpeng.2008.07.001

Cited by 171 publications

(57 citation statements)

References 58 publications

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“…Another effective and simple method to treat fracture in meshfree methods is the material point method (MPM) [212]. The advantage of the MPM over most SPH methods for fracture is their computational efficiency [213]. While those methods are quite attractive to model dynamic fracture and fragmentation involving an enormous amount of cracks, they are not well suited for static fracture with few cracks due to their less accurate representation of the crack kinematics.…”

Section: Meshfree Methodsmentioning

confidence: 99%

Computational Methods for Fracture in Brittle and Quasi-Brittle Solids: State-of-the-Art Review and Future Perspectives

Rabczuk

2013

ISRN Applied Mathematics

151

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An overview of computational methods to model fracture in brittle and quasi-brittle materials is given. The overview focuses on continuum models for fracture. First, numerical difficulties related to modelling fracture for quasi-brittle materials will be discussed. Different techniques to eliminate or circumvent those difficulties will be described subsequently. In that context, regularization techniques such as nonlocal models, gradient enhanced models, viscous models, cohesive zone models, and smeared crack models will be discussed. The main focus of this paper will be on computational methods for discrete fracture (discrete cracks). Element erosion technques, inter-element separation methods, the embedded finite element method (EFEM), the extended finite element method (XFEM), meshfree methods (MMs), boundary elements (BEMs), isogeometric analysis, and the variational approach to fracture will be reviewed elucidating advantages and drawbacks of each approach. As tracking the crack path is of major concern in computational methods that preserve crack path continuity, one section will discuss different crack tracking techniques. Finally, cracking criteria will be reviewed before the paper ends with future research perspectives.

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Section: Meshfree Methodsmentioning

confidence: 99%

Computational Methods for Fracture in Brittle and Quasi-Brittle Solids: State-of-the-Art Review and Future Perspectives

Rabczuk

2013

ISRN Applied Mathematics

151

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“…These Lagrangian particles carry all material information and track the deformation history. The momentums equations are solved on a predefined background grid, which can be fixed in space or arbitrarily defined, and provide an Eulerian description of the material domain (Ma et al, 2009). Compared with SPH, MPM owns higher accuracy, better computational stability and lower computational time consuming.…”

Section: D Pcmm In Cdemmentioning

confidence: 99%

“…Nowadays, SPH and its improved versions have been successfully applied in many fields, such as free surface fluid flow (Cleary et al, 2006), hypervelocity impact (Michel et al, 2006) and progressive failure of geological body (Ma et al, 2011a, b). However, due to the normalization and compact of kernel function, some errors will occur when particles locate on or near the boundaries (Ma et al, 2009), although there are some methods to solve the problem (Campbell, 1989;Randles and Libersky, 2000). Furthermore, SPH converts the integration over the support domain into a summation only over a finite number of particles, so insufficient sampling points for integration may result in numerical instability.…”

Section: Introductionmentioning

confidence: 99%

2D particle contact-based meshfree method in CDEM and its application in geotechnical problems

Feng

Oñate

2015

Engineering Computations

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For AuthorsIf you would like to write for this, or any other Emerald publication, then please use our Emerald for Authors service information about how to choose which publication to write for and submission guidelines are available for all. Please visit www.emeraldinsight.com/authors for more information. About Emerald www.emeraldinsight.comEmerald is a global publisher linking research and practice to the benefit of society. The company manages a portfolio of more than 290 journals and over 2,350 books and book series volumes, as well as providing an extensive range of online products and additional customer resources and services. Emerald is both COUNTER 4 and TRANSFER compliant. The organization is a partner of the Committee on Publication Ethics (COPE) and also works with Portico and the LOCKSS initiative for digital archive preservation. Purpose -Continuum-based discrete element method is an explicit numerical method, which is a combination of block discrete element method (DEM) and FEM. When simulating large deformation problems, such as cutting, blasting, water-like material flowing, the distortion of elements will lead to no convergence of the numerical system. To solve the convergence problem, a particle contact-based meshfree method (PCMM) is introduced in. The paper aims to discuss this issue. Design/methodology/approach -PCMM is based on traditional particle DEM, and use particle contacts to generate triangular elements. If three particles are contact with each other, the element will be created. Once elements are created, the macroscopic constitutive law could be introduced in. When large deformation of element occurs, the contact relationship between particles will be changed. Those elements that do not meet the contact condition will be deleted, and new elements that coincide with the relationship will be generated. By the deletion and creation of elements, the convergence problem induced by element distortion will be eliminated. To solve FEM and PCMM coupled problems, a point-edge contact model is introduced in, and normal and tangential springs are adopted to transfer the contact force between particles and blocks. Findings -According to the deletion and recreation of elements based on particle contacts, PCMM could simulate large deformation problems. Some numerical cases (i.e. elastic field testing, uniaxial compression analysis and wave propagation simulation) show the accuracy of PCMM, and others (i.e. soil cutting, contact burst and water-like material flowing) show the rationality of PCMM. Originality/value -In traditional particle DEM, contact relationships are used to calculate contact forces. But in PCMM, contact relationships are adopted to generate elements. Compared to other meshfree methods, in PCMM, the element automatic deletion and recreation technique is used to solve large deformation problems.

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“…The concept of modifying shape functions is also used in meshfree method for modeling hypervelocity impact problems [9]. Many attempts have been made in recent years to extend this feature to shell structures.…”

Section: Introductionmentioning

confidence: 99%

A novel enriched CB shell element method for simulating arbitrary crack growth in pipes

Zhuang

Cheng

2011

Sci. China Phys. Mech. Astron.

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In this work, a novel numerical method is developed for simulating arbitrary crack growth in pipes with the idea of enriched shape functions which can represent the discontinuity independent of the mesh. The concept of the enriched shape functions is introduced into the continuum-based (CB) shell element. Due to the advantage of CB shell element, the shell thickness variation and surface connection can be concerned during the deformation. The stress intensity factors of the crack in the CB shell element are calculated by using the 'equivalent domain integral' method for 3D arbitrary non-planar crack. The maximum energy release rate is used as a propagation criterion. This method is proved able to capture arbitrary crack growth path in pipes which is independent of the element mesh. Numerical examples of different fracture patterns in pipes are presented here.CB shell element, enriched shape functions, extended finite element, 3D arbitrary crack propagation, energy release rate PACS: 02.70.Oh, 46.50.+a

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Comparison study of MPM and SPH in modeling hypervelocity impact problems

Cited by 171 publications

References 58 publications

Computational Methods for Fracture in Brittle and Quasi-Brittle Solids: State-of-the-Art Review and Future Perspectives

Computational Methods for Fracture in Brittle and Quasi-Brittle Solids: State-of-the-Art Review and Future Perspectives

2D particle contact-based meshfree method in CDEM and its application in geotechnical problems

A novel enriched CB shell element method for simulating arbitrary crack growth in pipes

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