203. mean-strain quadratic 10-node tetrahedron with quasi-optimal energy stabilization for nonlinear deformation

Department: Structural Engineering
Faculty Advisor(s): Petr Krysl

Primary Student
Name: Phi Quoc Nguyen
Email: pqn002@ucsd.edu
Phone: 678-549-6546
Grad Year: 2020

Tetrahedral elements are favorable when meshing complex 3D objects, where the 10-node tetrahedral element is commonly used for computational analysis. The development of a mean-strain quadratic 10-node tetrahedral element (QT10MS) is to solve geometric nonlinear solid mechanics problems (hyperelasticity) using the concept of energy stabilization. The technique relied on a sampling of the stabilization energy using the mean-strain quadrature and a heuristic approach to determine the quasi-optimal stabilization parameter from normalizing several linear elastic benchmark problems for finite element models. QT10MS is formulated exactly as the plain-vanilla 10-node isoparametric quadratic tetrahedron, however the approach of calculating the solution differs with the stabilization energy. In this particular formulation of a 10-node tetrahedral element, the assumed strain-displacement is the mean of the strain-displacement over the domain of the element, hence the designation of the formulation as the mean-strain approach. The accuracy and convergence characteristics of QT10MS for both solids and thin-walled structures compare favorably with the capabilities of other mean-strain and high-performance tetrahedral and hexahedral elements for solids, shells, and nearly incompressible structures. There is reason to believe that the present formulation is to be a good general purpose tool for the analysis of solid and thin-walled structures.

Industry Application Area(s)
Civil/Structural Engineering | Computational Mechanics

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