Metraipolis › archive › dc_5cdc32fbafab

Generalized-strain mesh-free formulation — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Generalized-strain_mesh-free_formulation
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-07T11:27:38.878Z
SHA-256 of the archived text: d852fdfeb3ef2f600c74535e43e000c87eeba32126404b3ac7ad2e023466b576
Stable URL of this page: https://metraipolis.com/documento/dc_5cdc32fbafab

How to cite

Generalized-strain mesh-free formulation — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Generalized-strain_mesh-free_formulation (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_5cdc32fbafab (Metraipolis archive dc_5cdc32fbafab, sha256 d852fdfeb3ef2f600c74535e43e000c87eeba32126404b3ac7ad2e023466b576)

BibTeX

@misc{dc5cdc32fbafab,
  title = {Generalized-strain mesh-free formulation — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Generalized-strain_mesh-free_formulation},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_5cdc32fbafab; sha256 d852fdfeb3ef2f600c74535e43e000c87eeba32126404b3ac7ad2e023466b576},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Generalized-strain_mesh-free_formulation. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

The generalized-strain mesh-free (GSMF) formulation is a local meshfree method in the field of numerical analysis, completely integration free, working as a weighted-residual weak-form collocation. This method was first presented by Oliveira and Portela (2016), in order to further improve the computational efficiency of meshfree methods in numerical analysis. Local meshfree methods are derived through a weighted-residual formulation which leads to a local weak form that is the well known work theorem of the theory of structures. In an arbitrary local region, the work theorem establishes an energy relationship between a statically-admissible stress field and an independent kinematically-admissible strain field. Based on the independence of these two fields, this formulation results in a local form of the work theorem that is reduced to regular boundary terms only, integration-free and free of volumetric locking. Advantages over finite element methods are that GSMF doesn't rely on a grid, and is more precise and faster when solving bi-dimensional problems. When compared to other meshless methods, such as rigid-body displacement mesh-free (RBDMF) formulation, the element-free Galerkin (EFG) and the meshless local Petrov-Galerkin finite volume method (MLPG FVM); GSMF proved to be superior not only regarding the computational efficiency, but also regarding the accuracy. The moving least squares (MLS) approximation of the elastic field is used on this local meshless formulation.

Tema degli esploratori: matematica e informatica teorica (deposito sistematico; categoria «Numerical analysis»).
Fonte: Wikipedia in inglese, voce «Generalized-strain mesh-free formulation» — https://en.wikipedia.org/wiki/Generalized-strain_mesh-free_formulation
Wikidata Q28135181 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q28135181
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Generalized-strain_mesh-free_formulation?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1318601716, consultata il 2026-10-07T11:16:51.770Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: 84ea8c6d9fdf2c7bbfb782cd4979c2fbd8fbd58757b3e9c74c8672a4be0a3630