000060896 001__ 60896
000060896 005__ 20200221144202.0
000060896 0247_ $$2doi$$a10.1016/j.cma.2016.03.039
000060896 0248_ $$2sideral$$a94952
000060896 037__ $$aART-2016-94952
000060896 041__ $$aeng
000060896 100__ $$aEl Halabi, F.
000060896 245__ $$aA PGD-based multiscale formulation for non-linear solid mechanics under small deformations
000060896 260__ $$c2016
000060896 5060_ $$aAccess copy available to the general public$$fUnrestricted
000060896 5203_ $$aModel reduction techniques have became an attractive and a promising field to be applied in multiscale methods. The main objective of this work is to formulate a multiscale procedure for non-linear problems based on parametrized microscale models. The novelty of this work relies in the implementation of the model reduction technique known as Proper Generalized Decomposition for solving the high dimensional parametrized problem resulting from the microscale model. The multiscale framework here proposed is formulated to non-linear problems, specifically to material non-linearities, where material response is governed by a strain dependent evolution law. Two strategies to deal with this kind of problem under small deformations are detailed in this work. Both strategies based on parametrized microscale models solved by PGD have been applied to a problem with a rate-dependent isotropic damage model. First, a procedure where the problem is solved by uncoupling the equilibrium equation to the state variable expression has been explored. In order, to alleviate the parametrized microscale problem, a second strategy for problems with material non-linearity has been proposed, incorporating a parametrized microscale problem at each macroscale increment (FE-PGD). The basis of those procedures are described and compared, highlighting the solution accuracy and computer time consumption in comparison to a traditional finite element analysis.
000060896 536__ $$9info:eu-repo/grantAgreement/ES/DGA/17030G-5423-480072-91002
000060896 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000060896 590__ $$a3.949$$b2016
000060896 591__ $$aMECHANICS$$b6 / 133 = 0.045$$c2016$$dQ1$$eT1
000060896 591__ $$aMATHEMATICS, INTERDISCIPLINARY APPLICATIONS$$b3 / 100 = 0.03$$c2016$$dQ1$$eT1
000060896 591__ $$aENGINEERING, MULTIDISCIPLINARY$$b5 / 85 = 0.059$$c2016$$dQ1$$eT1
000060896 592__ $$a2.69$$b2016
000060896 593__ $$aComputational Mechanics$$c2016$$dQ1
000060896 593__ $$aComputer Science Applications$$c2016$$dQ1
000060896 593__ $$aPhysics and Astronomy (miscellaneous)$$c2016$$dQ1
000060896 593__ $$aMechanics of Materials$$c2016$$dQ1
000060896 593__ $$aMechanical Engineering$$c2016$$dQ1
000060896 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/submittedVersion
000060896 700__ $$0(orcid)0000-0003-3003-5856$$aGonzález, D.$$uUniversidad de Zaragoza
000060896 700__ $$aSanz-Herrera, J.
000060896 700__ $$0(orcid)0000-0001-8741-6452$$aDoblaré, M.$$uUniversidad de Zaragoza
000060896 7102_ $$15004$$2605$$aUniversidad de Zaragoza$$bDpto. Ingeniería Mecánica$$cÁrea Mec.Med.Cont. y Teor.Est.
000060896 773__ $$g305 (2016), 806-826$$pComput. methods appl. mech. eng.$$tCOMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING$$x0045-7825
000060896 8564_ $$s4907490$$uhttps://zaguan.unizar.es/record/60896/files/texto_completo.pdf$$yPreprint
000060896 8564_ $$s85267$$uhttps://zaguan.unizar.es/record/60896/files/texto_completo.jpg?subformat=icon$$xicon$$yPreprint
000060896 909CO $$ooai:zaguan.unizar.es:60896$$particulos$$pdriver
000060896 951__ $$a2020-02-21-13:09:49
000060896 980__ $$aARTICLE