Mixed stabilized finite element methods in linear elasticity for the velocity–stress equations in the time and the frequency domains

Autor: Ramon Codina, Arnau Fabra

Publikováno v: Computer Methods in Applied Mechanics and Engineering. 404:115777

In this work we present stabilized finite element methods for the mixed velocity–stress elasticity equations and for its irreducible velocity form. This is done both for the time and frequency domains, the latter being obtained by assuming a harmon

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e93cfdb30afc0ac7abc0e62834eb1c9e
https://doi.org/10.1016/j.cma.2022.115777

Two stress update algorithms for large strains: accuracy analysis and numerical implementation

Autor: Pierre Pegon, Antonio Huerta, Antonio Rodríguez-Ferran

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Scipedia Open Access
Scipedia SL

Two algorithms for the stress update (i.e., time integration of the constitutive equation) in large-strain solid mechanics are compared from an analytical point of view. The order of the truncation error associated to the numerical integration is ded

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e383fa38ee9cad7933bbab95f109d3ce
https://www.scipedia.com/public/Rodriguez-Ferran_et_al_1997a

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

Autor: Cervera Ruiz, Miguel, Chiumenti, Michèle, Codina, Ramon

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Scipedia Open Access
Scipedia SL
Recercat. Dipósit de la Recerca de Catalunya
Universitat Jaume I

This paper exploits the concept of stabilized finite element methods to formulate stable mixed stress/displacement and strain/displacement finite elements for the solution of nonlinear solid mechanics problems. The different assumptions and approxima

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::fb8316b94fa3a27adaefa4beb89fc802
https://www.scipedia.com/public/Cervera_et_al_2010a

Comparing Two Algorithms to Add Large Strains to Small-Strain FE Code

Autor: Antonio Rodríguez-Ferran, Antonio Huerta

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
Scipedia Open Access
Scipedia SL
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Two algorithms for the stress update (i.e., time integration of the constitutive equation) in large-strain solid mechanics are discussed, with particular emphasis on two issues: (1) The incremental objectivity; and (2) the implementation aspects. It

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a5c280de0e170e40aef51524db83ff79
https://doi.org/10.1061/(asce)0733-9399(1998)124:9(939)

Strict error bounds for linear and nonlinear solid mechanics problems using a patch-based flux-free method

Autor: Pedro Díez, Ludovic Chamoin, Régis Cottereau

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Scipedia Open Access
Scipedia SL
Mechanics & Industry
Mechanics & Industry, EDP Sciences, 2010, 11 (3-4), pp.249-254. ⟨10.1051/meca/2010049⟩
Mechanics & Industry, 2010, 11 (3-4), pp.249-254. ⟨10.1051/meca/2010049⟩
Recercat. Dipósit de la Recerca de Catalunya
instname

International audience; We discuss, in this paper, a common flux-free method for the computation of strict error bounds for linear and nonlinear Finite Element computations. In the linear case, the error bounds are on the energy norm of the error, wh

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe4f23a9cacadad39119f056e0f12c2b