Conference
A robust updated lagrangian smooth particle hydrodynamics for fast solid dynamics
| Title: | A robust updated lagrangian smooth particle hydrodynamics for fast solid dynamics |
|---|---|
| Authors: | Refachinho de Campos, Paulo Roberto, Antonio Javier, Gil, Chun Hean, Lee, Huerta, Antonio, Giacomini, Matteo, Bonet Carbonell, Javier |
| Source: | UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
| Publisher Information: | Association for Computing Machinery (ACM), 2021. |
| Publication Year: | 2021 |
| Subject Terms: | Fast solid dynamics, Plasticity, Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics [Àrees temàtiques de la UPC], SPH, Lagrange equations, Matemàtiques i estadística::Matemàtica aplicada a les ciències [Àrees temàtiques de la UPC], 74 Mechanics of deformable solids::74C Plastic materials, materials of stress-rate and internal-variable type [Classificació AMS], Classificació AMS::74 Mechanics of deformable solids::74C Plastic materials, materials of stress-rate and internal-variable type, Lagrange, Equacions de, Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics, Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències, 70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics [Classificació AMS], Updated lagrangian, Plastics, Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics |
| Description: | This paper introduces a new Incremental Updated Lagrangian Smooth Particle Hydrodynamics (SPH) computational framework in the form of a system of first order conservation laws. Specifically, the linear momentum conservation equation is solved in an incremental manner in conjunction with a set of incremental geometric conservation laws for the minors of the deformation gradient tensor, namely the deformation gradient, its cofactor and its Jacobian. Taking advantage of this new formalism, an entropy-stable upwinding stabilisation SPH method is introduced, with no user-defined regularisation parameters involved. The resulting semi-discrete SPH equations are variationally consistent and also ensure the global production of numerical entropy, demonstrated through the semi-discrete version of the classical Coleman-Noll procedure. The overall methodology will be shown to be capable of handling large deformations without persistent numerical shortcomings often encountered in the classical SPH (displacement-based) formulation. |
| Document Type: | Conference object |
| File Description: | application/pdf |
| Language: | English |
| DOI: | 10.13039/100010661 |
| Access URL: | https://hdl.handle.net/2117/356494 http://hdl.handle.net/2117/356494 |
| Accession Number: | edsair.dedup.wf.002..25bb89df48f9c4f5b6b03fbd18e0bbe0 |
| Database: | OpenAIRE |
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