[图书][B] Hybrid High-Order Methods: a primer with applications to solid mechanics
M Cicuttin, A Ern, N Pignet - 2021 - Springer
Hybrid High-Order (HHO) methods attach discrete unknowns to the cells and to the faces of
the mesh. At the heart of their devising lie two intuitive ideas:(i) a local operator …
the mesh. At the heart of their devising lie two intuitive ideas:(i) a local operator …
A linearized consistent mixed displacement-pressure formulation for hyperelasticity
We propose a novel mixed displacement-pressure formulation based on an energy
functional that takes into account the relation between the pressure and the volumetric …
functional that takes into account the relation between the pressure and the volumetric …
Hybrid High-Order methods for finite deformations of hyperelastic materials
M Abbas, A Ern, N Pignet - Computational Mechanics, 2018 - Springer
We devise and evaluate numerically Hybrid High-Order (HHO) methods for hyperelastic
materials undergoing finite deformations. The HHO methods use as discrete unknowns …
materials undergoing finite deformations. The HHO methods use as discrete unknowns …
High‐performance geometric nonlinear analysis with the unsymmetric 4‐node, 8‐DOF plane element US‐ATFQ4
Z Li, S Cen, CJ Wu, Y Shang… - International Journal for …, 2018 - Wiley Online Library
Summary A recent unsymmetric 4‐node, 8‐DOF plane element US‐ATFQ4, which exhibits
excellent precision and distortion‐resistance for linear elastic problems, is extended to …
excellent precision and distortion‐resistance for linear elastic problems, is extended to …
Large deformation analysis of 2D hyperelastic bodies based on the compressible nonlinear elasticity: A numerical variational method
A numerical solution technique named as variational differential quadrature (VDQ) is
adopted herein for the compressible nonlinear elasticity problems. The governing equations …
adopted herein for the compressible nonlinear elasticity problems. The governing equations …
Three-field mixed finite element methods for nonlinear elasticity
In this paper, we extend the tangential-displacement normal–normal-stress continuous
(TDNNS) method from Pechstein and Schöberl (2011) to nonlinear elasticity. By means of …
(TDNNS) method from Pechstein and Schöberl (2011) to nonlinear elasticity. By means of …
Robust hybrid/mixed finite elements for rubber-like materials under severe compression
JA Schönherr, P Schneider, C Mittelstedt - Computational Mechanics, 2022 - Springer
A new family of hybrid/mixed finite elements optimized for numerical stability is introduced. It
comprises a linear hexahedral and quadratic hexahedral and tetrahedral elements. The …
comprises a linear hexahedral and quadratic hexahedral and tetrahedral elements. The …
[PDF][PDF] Mixed finite element methods for nonlinear continuum mechanics and shells
M Neunteufel - 2021 - scholar.archive.org
In this work mixed formulations for nonlinear problems in continuum mechanics and shells
are presented and discussed. While standard methods in continuum mechanics, where the …
are presented and discussed. While standard methods in continuum mechanics, where the …
Hyperelastic finite deformation analysis with the unsymmetric finite element method containing homogeneous solutions of linear elasticity
Summary A recent unsymmetric 4‐node, 8‐DOF plane finite element US‐ATFQ4 is
generalized to hyperelastic finite deformation analysis. Since the trial functions of US …
generalized to hyperelastic finite deformation analysis. Since the trial functions of US …
Numerical evaluation of discontinuous and nonconforming finite element methods in nonlinear solid mechanics
This work presents a systematic study of discontinuous and nonconforming finite element
methods for linear elasticity, finite elasticity, and small strain plasticity. In particular, we …
methods for linear elasticity, finite elasticity, and small strain plasticity. In particular, we …