A three-dimensional impact-penetration algorithm with erosion

Belytschko, Ted; Lin, Jerry I.

doi:10.1016/0734-743x(87)90033-9

Cited by 74 publications

(32 citation statements)

References 2 publications

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“…We note that element erosion has been extensively used to simulate fracture in a number of areas of application, including terminal ballistics . However, some of these methods fail to converge or converge to the wrong limit .…”

Section: Introductionmentioning

confidence: 99%

An eigenerosion approach to brittle fracture

Pandolfi

Ortiz

2012

Numerical Meth Engineering

139

120

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The present work is concerned with the verification and validation of a variant of the eigenfracture scheme of Schmidt et al. (2009) based on element erosion, which we refer to as eigenerosion. Eigenerosion is derived from the general eigenfracture scheme by restricting the eigendeformations in a binary sense: they can be either zero, in which case the local behavior is elastic, or they can be equal to the local displacement gradient, in which case the corresponding material neighborhood is failed or eroded. When combined with a finite-element approximation, this scheme gives rise to element erosion, i.e., the elements can be either intact, in which case their behavior is elastic, or be completly failed, or eroded, and have no load bearing capacity. We verify the eigenerosion scheme through comparisons with analytical solutions and through convergence studies for mode I fracture propagation, both in two and three dimensions and for structured and random meshes. Finally, by way of validation, we apply the eigenerosion scheme to the simulation of mixed modes I–III experiments in poly-methyl methacrylate plates

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Section: Introductionmentioning

confidence: 99%

An eigenerosion approach to brittle fracture

Pandolfi

Ortiz

2012

Numerical Meth Engineering

139

120

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“…Ic= Iz x N~ • Nv + Iy x Nx + I= (6) The size of cells is presumably close to or larger than the average size of elements, as a comparison with the work done in paper [11] in which the ceils are substantially larger than elements and may include too many elements and nodes.…”

Section: Cell Structure and Location Of Nodesmentioning

confidence: 69%

“…To identify these nodes and elements that may contact, the concept of cell [11] is introduced. A typical cell structure is shown in Fig.1 Here, Xmin and Zmax are the minimal and maximal x coordinates in the cell domain and l\~ is the number of cells in the x direction.…”

Section: Cell Structure and Location Of Nodesmentioning

confidence: 99%

A contact searching algorithm for contact-impact problems

2000

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A new contact searching algorithm for contact-impact systems is proposed in this paper. In terms of the cell structure and the linked-list, this algorithm solves the problem of sorting and searching contacts in three dimensions by transforming it to a retrieving process from two one-dimensional arrays, and binary searching is no longer required. Using this algorithm, the cost of contact searching is reduced to the order of O(N) instead of O(Nlog2N ) for traditional ones, where N is the node number in the system. Moreover, this algorithm can handle contact systems with arbitrary mesh layouts. Due to the simplicity of this algorithm it can be easily implemented in a dynamic explicit finite element program. Our numerical experimental result shows that this algorithm is reliable and efficient for contact searching of three dimensional systems.

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“…One of them was to treat threedimensional impact-penetrating simulations with erosion, which was developed based on interactions between slave nodes (projectile) and master elements (target). It employed an assembly of normals to identify the interface surface adaptively so that it could handle eroding elements in both target and penetrator [27]. Another algorithm was presented for the nonlinear analysis of the large deflection, materially nonlinear response of impulsively loaded shells.…”

Section: Computer Modeling and Simulationmentioning

confidence: 99%

Analysis of Structural Impact and Crashworthiness using Experimental, Analytical and Computational Techniques: An Overview and Recent Developments

Liu

Chu

Viera

2011

Int. J. Vehicle Structures and Systems

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This paper present a profound overview of the history and recent developments in structural impact and crashworthiness analysis applying experimental, analytical, and computational techniques. A study case is provided to show the regular approach of studying an "S" shaped thin-walled beam's crash behaviour through computer modelling and simulation. In the future, experimental and computational atomic scale plasticity techniques such as diffraction and microscopy can be employed in this research area to develop a full understanding of structural impact mechanism by obtaining data and observations at both macroscopic and atomic level.

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A three-dimensional impact-penetration algorithm with erosion

Cited by 74 publications

References 2 publications

An eigenerosion approach to brittle fracture

An eigenerosion approach to brittle fracture

A contact searching algorithm for contact-impact problems

Analysis of Structural Impact and Crashworthiness using Experimental, Analytical and Computational Techniques: An Overview and Recent Developments

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