Material interpolation schemes for unified topology and multi-material optimization

By C. F. Hvejsel, Erik Lund. 2011

258 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/1e99ca7d165e21dd5265854ab94eb20d2f09ed71

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

A multi-resolution method for 3D multi-material topology optimization (2015, unknown): “A unified parameterized formulation for simultaneous topology and multi-material design as an extension to a direct generalization SIMP was proposed in [20].”
A new multi-material level set topology optimization method with the length scale control capability (2018, unknown): “Hvejsel and Lund [9] generalized the SIMP method to make it applicable to interpolate any number of predefined materials with isotropic or anisotropic properties.”
Multi-material topology optimization with multiple volume constraints: a general approach applied to ground structures with material nonlinearity (2017, background): “Hvejsel and Lund (2011) generalize the SIMP scheme and the Rational Approximation of Material Properties (RAMP) scheme (Stolpe and Svanberg 2001) to include an arbitrary number of material phases.”
A multi-material level set-based topology and shape optimization method (2015, methodology): “Stegmann and Lund [25] developed the Discrete Material Optimization method to simultaneously optimize the topology and the layup of composites, and applied it to multi-material optimization [26].”
Multimaterial topology optimization by volume constrained Allen–Cahn system and regularized projected steepest descent method (2014, background): “[5, 6], to develop general multimaterial interpolation schemes, there is however no progress toward developing a physically based material interpolation approach to mange arbitrary number of materials.”
General topology optimization method with continuous and discrete orientation design using isoparametric projection (2015, background): “The majority of composite design studies focus on ‘panel’ design problems that are related to finding the optimal composite configuration in each block area that comprises an entire structure [9, 40].”
Benchmarking optimization solvers for structural topology optimization (2015, unknown): “(Burger and Stainko 2006; Hvejsel and Lund 2011).”