A pseudo-spring based fracture model for SPH simulation of impact dynamics

Chakraborty, Sukanta; Shaw, Amit

doi:10.1016/j.ijimpeng.2013.03.006

Cited by 99 publications

(32 citation statements)

References 28 publications

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“…For modeling crack propagation, the pseudo‐spring algorithm as proposed in the work of Chakraborty and Shaw is used. Herein, any particle is restricted to interact only with its nearest neighboring particles.…”

Section: Illustrative Examplesmentioning

confidence: 99%

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On consistency and energy conservation in smoothed particle hydrodynamics

Islam

Chakraborty

Shaw

2018

Numerical Meth Engineering

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Summary Energy conservation and consistency are not easy to achieve simultaneously in smoothed particle hydrodynamics (SPH). In this study, an efficient strategy is proposed to achieve energy conservation in an SPH framework with a consistent basis function. Herein, at every particle pair interaction, a correction term is introduced such that energy conservation is restored locally and, at the same time, the total variation of different variables due to the correction term is minimum. The final form of the proposed formulation is such that no additional computational effort is required and the simplicity of SPH is preserved. The theoretical error estimate of the proposed formulation is performed. The proposed scheme is also compared with benchmark SPH formulations in terms of the L2 error norm for representative functional derivatives both in regular and irregular particle distributions. Finally, the efficacy of the proposed formulation in conserving energy and maintaining accuracy is demonstrated via few elastic, elastic‐plastic impact and fracture problems.

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Section: Illustrative Examplesmentioning

confidence: 99%

“…Smoothed particle hydrodynamics (SPH) is a particle‐based technique for solving the mathematical model of many physical processes involving shock, large deformation, damage, material separation, etc . In SPH, the computational domain is discretized by a set of particles that carry information of all the relevant field variables.…”

Section: Introductionmentioning

confidence: 99%

On consistency and energy conservation in smoothed particle hydrodynamics

Islam

Chakraborty

Shaw

2018

Numerical Meth Engineering

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“…The pseudo-spring analogy (Chakraborty and Shaw, 2013) is a way out of the above mentioned limitation of material-independent kernel estimate, commonly used in SPH simulation of fracture (Johnson et al, 1996;Mehra and Chaturvedi, 2006). In this section, an SPH framework, enhanced with the pseudo-spring analogy for modelling damage and subsequent material separation is discussed.…”

Section: Numerical Modelling Of Damage and Materials Separationmentioning

confidence: 99%

“…For stress based formulation readers are referred to Chakraborty and Shaw (2013). Here, as employed in the numerical simulations to follow in next sections, only strain based damage growth algorithm is discussed.…”

Section: Materials Damage In Sph Interactionmentioning

confidence: 99%

“…SPH has been successfully applied to a wide range of problem related to impact mechanics (Benz and Asphaug, 1995;Liu and Liu, 2010). Chakraborty and Shaw (2013) enhanced the SPH technique with the concept of pseudo-spring for modelling arbitrary evolving crack in solids. The pseudo-spring SPH has ability to reflect material strength and progressive damage evolution (leading to open crack) even in material-independent kernel estimating framework without relying on any crack path tracking and discontinuous enrichment of basis function (Rabczuk and Belytschko, 2004;Rabczuk and Zi, 2007).…”

Section: Introductionmentioning

confidence: 99%

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Prognosis for ballistic sensitivity of pre-notch in metallic beam through mesh-less computation reflecting material damage

Chakraborty

Shaw

2015

International Journal of Solids and Structures

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a b s t r a c tPre-existing discontinuity in the form of notch in a clamped metallic beam can significantly alter its final response and failure pattern under a dynamic impact event. The extent of the notch's influence and sensitivity of its underlying parameters are numerically investigated in this work. Based on Smoothed Particle Hydrodynamics (SPH), a computational framework is developed which can account for material damage and possible moving physical discontinuity due to propagation of crack from the notch location. The numerical model is first validated with experimental evidences from literature and then further explored to establish a mechanism to estimate the precise effects of each of the controlling parameters that may affect dynamic response of clamped beam under impact. Movement of plastic flow and its interaction with geometric irregularity causing localised plastic deformation is studied. Finally a potential deterministic approach is followed to predict the critical velocity for a beam with particular impedance and with certain pre-notch geometry.

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A new total‐Lagrangian smooth particle hydrodynamics approximation for the simulation of damage and fracture of ductile materials

Vaucorbeil

Hutchinson

2020

Numerical Meth Engineering

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Summary Smooth particle hydrodynamics (SPH) is gaining popularity for the simulation of solids subjected to machining, wear, and impacts. Its attractiveness is due to its abilities to simulate problems, involving large deformations resulting from the absence of mesh as well as the development of the total‐Lagrangian version of SPH (TLSPH) to solve tensile instabilities and an hourglass control algorithm to reduce rank‐deficiency problems. However, when TLSPH is used with continuum damage mechanics, nonphysical residual forces can emerge and lead to instabilities. To solve this issue, the “pseudospring” method that scales the kernel function with damage was proposed by Chakraborty and Shaw. This method preserves local linear momentum and is stable for elastic solids but can generate instabilities when solids damage after experiencing high plastic strains. In this contribution, we present a new TLSPH approximation that conserves both linear and angular momenta, which is suitable for the simulation of damage and fracture of ductile materials. Using single‐edge notched samples and tensile tests, we show that this approximation is stable whatever the stress/strain state and is in good agreement with finite element simulations and experimental results.

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A pseudo-spring based fracture model for SPH simulation of impact dynamics

Cited by 99 publications

References 28 publications

On consistency and energy conservation in smoothed particle hydrodynamics

On consistency and energy conservation in smoothed particle hydrodynamics

Prognosis for ballistic sensitivity of pre-notch in metallic beam through mesh-less computation reflecting material damage

A new total‐Lagrangian smooth particle hydrodynamics approximation for the simulation of damage and fracture of ductile materials

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