Mixed stabilized finite element methods in nonlinear solid mechanics. Part III: Compressible and incompressible plasticity

M Cervera, M Chiumenti, L Benedetti… - … in Applied Mechanics and …, 2015 - Elsevier
… of a stabilized mixed strain/displacement finite element formulation for the solution of nonlinear
solid mechanics problems involving compressible … The variational multiscale stabilization

Mixed stabilized finite element methods in nonlinear solid mechanics: Part I: Formulation

M Cervera, M Chiumenti, R Codina - … Methods in Applied Mechanics and …, 2010 - Elsevier
… variable and appropriate stabilization techniques (see [29]). The … is limited to compressible
nonlinear solid mechanics. … In Section 3 the stabilization is extended to nonlinear problems, …

Compatible-strain mixed finite element methods for 3D compressible and incompressible nonlinear elasticity

MF Shojaei, A Yavari - Computer Methods in Applied Mechanics and …, 2019 - Elsevier
finite element methods without compromising their consistency, we introduce some stabilizing
terms in the mixed … In Section 3, we discuss the finite element approximations for the …

Stabilized finite element method for incompressible solid dynamics using an updated Lagrangian formulation

R Nemer, A Larcher, T Coupez, E Hachem - … Methods in Applied Mechanics …, 2021 - Elsevier
… linear, and non-linear solid dynamics for compressible, nearly … This work showed the
capabilities of the mixed formulation (… of: Section 2 contains the problem definition; Section 3

A stabilized mixed finite element approximation for incompressible finite strain solid dynamics using a total Lagrangian formulation

I Castañar, J Baiges, R Codina - Computer Methods in Applied Mechanics …, 2020 - Elsevier
… In Section 3 the OSS stabilization technique in hyperelastic … We want to deal with
compressible models that can reach the … The stabilized finite element method we propose in the …

A stabilized mixed implicit material point method for non-linear incompressible solid mechanics

I Iaconeta, A Larese, R Rossi, E Oñate - Computational Mechanics, 2019 - Springer
… materials are simulated, but also in the case of compressible ones. … Mixed Enhanced Element
for small deformation problems [3]. This is a special three-field mixed finite element method

[PDF][PDF] Mixed finite element methods for nonlinear continuum mechanics and shells

M Neunteufel - 2021 - scholar.archive.org
… topics of nonlinear elasticity, namely continuum mechanics (Chapters 2… (Chapter 7 and
8). The therein involved Sobolev and finite element spaces are discussed in detail in Chapter 3

Versatile stabilized finite element formulations for nearly and fully incompressible solid mechanics

E Karabelas, G Haase, G Plank, CM Augustin - Computational mechanics, 2020 - Springer
… a pressure-projection stabilization method originally published … in the field of particle finite
element methods and plasticity [22, … we formulate the mixed boundary value problem of nearly …

Stabilized mixed finite element formulations for materially nonlinear partially saturated two-phase media

A Truty, T Zimmermann - Computer methods in applied mechanics and …, 2006 - Elsevier
three two-phase stabilized formulations discussed in this paper belong to the class of direct
stabilization methods… The basic formulation, in which solid grains compressibility is neglected…

Stabilized finite element formulations for incompressible flow computations

TE Tezduyar - Advances in applied mechanics, 1991 - Elsevier
… has been successfully applied to not only incompressible flows, but also compressible flows.
… A stabilized Lagrangian finite element method for viscous free surface flows. In preparation. …