2013/01/31 by V. Kumar, V. KUMAR · 5 citations
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Applied mathematics #Boundary knot method #Computer science #Constitutive equation #Domain (mathematical analysis) #Engineering #Field (mathematics) #Finite element method #Fluid Dynamics Simulations and Interactions #Mathematical analysis #Mathematical optimization #Mathematics #Mixed finite element method #Numerical methods in engineering #Smoothed finite element method #Smoothing #Structural engineering
paper · doi:10.1142/s0219876213400100
published in International Journal of Computational Methods 10(01), 1340010 (World Scientific)
openalex publication_date 2013/01/31 · crossref created 2013/01/31 · crossref issued 2013/02/01 · crossref published 2013/02/01 · crossref published-print 2013/02/01 · crossref published-online 2013/03/05 · crossref deposited 2020/07/21 · openalex created_date 2025/10/10 · crossref indexed 2026/08/05 · openalex updated_date 2026/08/06
We present a Smoothed Finite Element Methods (SFEM) for thermo-mechanical impact problems. The smoothing is applied to the strains and the standard finite element approach is used for the temperature field. The SFEM allows for highly accurate results and large deformations. No isoparametric mapping is needed; the shape functions are computed in the physical domain. Moreover, no derivatives of the shape functions must be computed. We implemented a visco-plastic constitutive model and validate the method by comparing numerical results to experimental data.