A new body-fitted immersed volume method for the modeling of ductile fracture at the microscale: Analysis of void clusters and stress state effects on coalescence

Abstract

International audienceIn this work, a new finite element framework is developed and applied to the study and modeling of ductile fracture mechanisms at the microscale. More particularly, a body-fitted meshing and remeshing methodology is introduced and applications to void coalescence are investigated. Though most studies focus on periodic arrangements of voids, it was proven in experiments as in simulations that random void clusters have a major influence on void growth and coalescence. With the method proposed in this paper, various void arrangements can be addressed and their effect on void growth and coalescence can be studied at large plastic strain and various stress states

Macroscopic thermal finite element modeling of additive metal manufacturing by selective laser melting process

“…It is defined as the inverse of the maximum eigenvalue (in absolute value) of the Hessian matrix of the level set function , and is a scaling parameter. A precise P1 description of the Hessian matrix (linked to the second spatial derivatives of ) is obtained thanks to a Superconvergent Patch Recovery strategy detailed in [18]. In addition, is a lower bound limiting the mesh size when the geometry is singular (near sharp corners or edges of the constructed workpiece).…”

“…In addition, Fitz allows respecting interfaces within the analysis domain , when identified by level set functions: the new mesh is conform along the interfaces while respecting the objective metric. Details on the remeshing strategy with Fitz are available in references [17,18,19].…”

“…The final mesh metric is transferred to the automatic meshing procedure named Fitz [18], in order to get a new mesh respecting the desired metric. In addition, Fitz allows respecting interfaces within the analysis domain , when identified by level set functions: the new mesh is conform along the interfaces while respecting the objective metric.…”

Introduction to the level-set full field modeling of laths spheroidization phenomenon in α/β titanium alloys

“…In order to face this problem, we adopt a new topological mesher, Fitz, developed by Shakoor et al [18]. With Fitz, a body fitted meshing and remeshing is possible while using complex metric as previously described.…”

“…As already described, these variables represent respectively the normal vector to the interface and its main curvatures. Using this data, a metric field can be built in order to have a very fine mesh size in the normal direction to the interface, and to control the mesh size in the other directions depending on local curvature [18] (Method 2 in Table 2). …”