Stress concentration minimization of 2D filets using X-FEM and level set description

By L. Van Miegroet, Pierre Duysinx. 2007

172 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/db5782ed1cd7edf69a2a281291680aeeb5c59e8d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. Peter D. Dunning
2. Kurt Maute
3. Hélio Emmendoerfer
4. Peng Wei
5. Eduardo Alberto Fancello
6. Ashesh Sharma
7. Reza Behrou
8. Michael Y. Wang

In Computational Mechanics

1. Peter D. Dunning
2. Pierre Kerfriden
3. Kurt Maute
4. Peng Wei
5. Hélio Emmendoerfer
6. Eduardo Alberto Fancello
7. Stéphane P.A. Bordas
8. Matthew Lawry

In Mechanics of Materials

1. Peter D. Dunning
2. Kurt Maute
3. Pierre Kerfriden
4. Hélio Emmendoerfer
5. Peng Wei
6. Michael Y. Wang
7. Eduardo Alberto Fancello
8. Stéphane P.A. Bordas

Citations in the corpus

• Implementation of regularized isogeometric boundary element methods for gradient‐based shape optimization in two‐dimensional linear elasticity (2016, methodology): “The Extended finite element method (XFEM) [37, 15, 38, 39] also falls into this category and its application in shape optimization can be read in [40, 41, 42, 43].”
• Stress-based topology optimization using spatial gradient stabilized XFEM (2017, methodology): “The first study to focus on stress-based shape optimization using the LSM-XFEM approach was presented by Van Miegroet and Duysinx (2007).”
• Investigation and improvement of sensitivity computation using the area-fraction weighted fixed grid FEM and structural optimization (2011, methodology): “These include the extended FEM, which mimics the discontinuity by enriching shape functions by a Heaviside step function [7].”
• A level set approach for topology optimization with local stress constraints (2014, methodology): “A possible way of getting rid of this ambiguous situation is to conform the discretization to the crossing boundary by means of remeshing [35] or, for example, by using discontinuous functions of X-FEM type [32, 37].”
• Level set topology optimization of structural problems with interface cohesion (2017, background): “This approach has proven to be effective in optimization studies of stress and strain energy minimization [59, 60].”
• Level Set Based Structural Topology Optimization for Minimizing Frequency Response (2011, methodology): “And also it had been clearly demonstrated by Duysinx [33,34] and Wei [35] that the combination of the X-FEM and level set method can gives an elegant way in topology optimization problems because X-FEM is good for handling a complex structure with changing geometry in a fixed mesh.”