%0 Journal Article %T Local adaptive refinement method applied to solid mechanics %+ Mécanique Théorique, Interface, Changements d’Echelles (MéTICE) %+ Laboratoire de micromécanique et intégrité des structures (MIST) %+ Service des Accidents Graves (IRSN/PSN-RES/SAG) %+ Laboratoire de statistique et des modélisations avancées (IRSN/PSN-RES/SEMIA/LSMA) %A Daridon, Loïc %A Delaume, Eric %A Monerie, Yann %A Perales, Frédéric %< avec comité de lecture %@ 1802-680X %J Applied and Computational Mechanics %I University of West Bohemia %V 14 %N 2 %8 2020-12-10 %D 2020 %R 10.24132/acm.2020.570 %K conformity %K hierarchy %K adaptivity %K refinement method %Z Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph] %Z Engineering Sciences [physics]/Mechanics [physics.med-ph]/Solid mechanics [physics.class-ph] %Z Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph]Journal articles %X A good spatial discretization is of prime interest in the accuracy of the Finite Element Method. This paper presents a new refinement criterion dedicated to an h-type refinement method called Conforming Hierarchical Adaptive Refinement MethodS (CHARMS) and applied to solid mechanics. This method produces conformally refined meshes and deals with refinement from a basis function point of view. The proposed refinement criterion allow adaptive refinement where the mesh is still too coarse and where a strain or a stress field has a large value or a large gradient. The sensitivity of the criterion to the value or to the gradient ca be adjusted. The method and the criteria are validated through 2-D test cases. One limitation of the h-adaptive refinement method is highlighted: the discretization of boundary curves. %G English %2 https://hal.science/hal-03053926/document %2 https://hal.science/hal-03053926/file/Daridon_al_Applied_Comput._Mechanics_2020.pdf %L hal-03053926 %U https://hal.science/hal-03053926 %~ IRSN %~ CNRS %~ LMGC %~ MIST %~ MIPS %~ UNIV-MONTPELLIER %~ UM-2015-2021 %~ PSNRES %~ SEMIA