2014
DOI: 10.1007/s10915-014-9948-4
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Evaluation of Accuracy and Stability of the Classical SPH Method Under Uniaxial Compression

Abstract: The accuracy and stability of the classical formulation of the smoothed particle hydrodynamics (SPH) method for modelling compression of elastic solids is studied to assess its suitability for predicting solid deformation. SPH has natural advantages for simulating problems involving compression of deformable solids arising from its ability to handle large deformation without re-meshing, complex free surface behaviour and tracking of multiple material interfaces. The 'classical SPH method', as originally propos… Show more

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Cited by 23 publications
(14 citation statements)
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“…SPH modeling has been successfully applied to fluid flow problems in the past. More recently, there has been a growing interest in modeling solid deformation problems with SPH , even including applications in bone mechanics . Full details of the SPH method can be found in .…”
Section: Materials and Methodologymentioning
confidence: 99%
“…SPH modeling has been successfully applied to fluid flow problems in the past. More recently, there has been a growing interest in modeling solid deformation problems with SPH , even including applications in bone mechanics . Full details of the SPH method can be found in .…”
Section: Materials and Methodologymentioning
confidence: 99%
“…Both corrections are used in this paper. Das and Cleary give a more detailed analysis of the impact of the variation of these parameters on the quality of results in SPH [39].…”
Section: Additional Corrective Termsmentioning
confidence: 99%
“…13a. For a more detailed analysis of the impact of the number of particles on the quality of results in SPH, the authors recommend the reading of Das and Cleary [39]. Fig.…”
Section: Tensile Wing Crack Initiationmentioning
confidence: 99%
“…It has been shown to be robust [9,18,24] and it does not affect computational efficiency, unlike some of the alternative methods. The impact of this correction on the accuracy and stability of the classical SPH method for elastic deformation has recently been evaluated by [15]. The artificial viscosity 螤 ab in Eq.…”
Section: Tensile Instability Correctionmentioning
confidence: 99%