Limit analysis and Gurson's model

Trillat, Malorie; Pastor, J.

doi:10.1016/j.euromechsol.2005.06.003

Cited by 82 publications

(45 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This elliptical strength criterion can be seen as a truncated limit case of Gurson's (1977) model for porous ductile metals based on homogenization method and on the kinematic approach of limit analysis (Gurson, 1977), which is known to be an upper bound (Leblond, 2003) (see also (Gologanu et al, 1997;Trillat and Pastor, 2005)):…”

Section: Gurson's Hollow Sphere Modelmentioning

confidence: 99%

Hardness–packing density scaling relations for cohesive-frictional porous materials

Cariou

Ulm

Dormieux

2008

Journal of the Mechanics and Physics of Solids

View full text Add to dashboard Cite

Section: Gurson's Hollow Sphere Modelmentioning

confidence: 99%

Hardness–packing density scaling relations for cohesive-frictional porous materials

Cariou

Ulm

Dormieux

2008

Journal of the Mechanics and Physics of Solids

View full text Add to dashboard Cite

“…Pastor and Kondo [45] adapted and extended 3D static and kinematic FEM codes developed by Trillat and Pastor [46] for spherical cavities to the case of a von Mises matrix containing spheroidal (and confocal) cavities, subjected to axisymmetric loadings. The main objective of the research done by Pastor and Kondo [45] was to assess existing analytical criteria, by providing the numerical lower and upper bound limit analyses for various loading cases.…”

Section: Development Of Gurson's Modelmentioning

confidence: 99%

Recent Trends in the Development of Gurson’s Model

Jackiewicz

2015

Recent Trends in Fracture and Damage Mechanics

View full text Add to dashboard Cite

The original Gurson model for porous materials has undergone numerous modifications in order to improve its adequacy with experimental or numerical results. In this chapter various modifications of Gurson's model and models created on the basis of the idea of Gurson's model are presented. This chapter includes the following issues: (i) development of Gurson's model, (ii) development of models for nucleation, growth and coalescence of voids and (iii) modification of Gurson's model for failure prediction under shear deformation.

show abstract

“…[12,13]). They made it possible to solve various static and kinematic LA problems for predicting the macroscopic criterion of various heterogeneous materials, using the Gurson model for porous materials in [14,15]. Conic programming was also used in [16,17] for more classical problems in geotechnics.…”

Section: Introductionmentioning

confidence: 99%

Limit analysis and convex programming: A decomposition approach of the kinematic mixed method

Pastor

Loute

Pastor

2008

Numerical Meth Engineering

Self Cite

View full text Add to dashboard Cite

International audienceThis paper proposes an original decomposition approach to the upper bound method of limit analysis. It is based on a mixed finite element approach and on a convex interior point solver using linear or quadratic discontinuous velocity fields. Presented in plane strain, this method appears to be rapidly convergent, as verified in the Tresca compressed bar problem in the linear velocity case. Then, using discontinuous quadratic velocity fields, the method is applied to the celebrated problem of the stability factor of a Tresca vertical slope: the upper bound is lowered to 3.7776 - value to be compared with the best published lower bound 3.772 - by succeeding in solving non-linear optimization problems with millions of variables and constraints

show abstract

Limit analysis and Gurson's model

Cited by 82 publications

References 11 publications

Hardness–packing density scaling relations for cohesive-frictional porous materials

Hardness–packing density scaling relations for cohesive-frictional porous materials

Recent Trends in the Development of Gurson’s Model

Limit analysis and convex programming: A decomposition approach of the kinematic mixed method

Contact Info

Product

Resources

About