Designing materials with prescribed elastic properties using polygonal cells

By A. Diaz, A. Benard. 2003

47 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/1d7bd52942f886dfbcc5fa7a74666acb2ccf82ef

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. Glaucio H. Paulino
2. Cameron Talischi
3. Natarajan Sukumar
4. Chau H. Le
5. A. Tabarraei
6. Zhan Kang
7. Yiqiang Wang
8. L. Beirão da Veiga

In Computational Theory and Mathematics

1. Glaucio H. Paulino
2. Cameron Talischi
3. Chau H. Le
4. Natarajan Sukumar
5. L. Beirão da Veiga
6. Giuseppe Vacca
7. Krishnan Suresh
8. Alessandro Russo

In Mechanics of Materials

1. Natarajan Sukumar
2. Glaucio H. Paulino
3. Cameron Talischi
4. A. Tabarraei
5. Chau H. Le
6. C. Lin
7. S. Hollister
8. Stéphane P.A. Bordas

Citations in the corpus

• Honeycomb Wachspress finite elements for structural topology optimization (2009, background): “homogenization with polygonal cells is discussed by Diaz and Benard (2003). We study four arbitrary small scale patterns of hexagonal mesh, which may appear in topology optimization results.”
• Conforming polygonal finite elements (2004, background): “in finite element meshes [11, 12]; suitable in material design [13] and in the modelling of polycrystalline materials [14]; and will have less sensitivity to lock (unlike lower-order triangular and quadrilateral elements which tend to be stiff) under volume-preserving deformation states which arise ”
• Computational design of tissue engineering scaffolds (2007, background): “Diaz and Benard [22] noted that restriction of unit cells to square or rectangular shapes may restrict possible solutions.”