A geometry projection method for continuum-based topology optimization with discrete elements
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Publication:2632958
DOI10.1016/j.cma.2015.05.005zbMath1423.74756OpenAlexW266836189MaRDI QIDQ2632958
Daniel A. Tortorelli, B. K. Bell, Julian A. Norato
Publication date: 15 May 2019
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2015.05.005
Applications of mathematical programming (90C90) Optimization of shapes other than minimal surfaces (49Q10) Topological methods for optimization problems in solid mechanics (74P15)
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Uses Software
Cites Work
- Unnamed Item
- Manufacturing tolerant topology optimization
- Imposing maximum length scale in topology optimization
- A topological derivative method for topology optimization
- Explicit feature control in structural topology optimization via level set method
- Energy change due to the appearance of cavities in elastic solids.
- Structural optimization using sensitivity analysis and a level-set method.
- A level-set method for shape optimization.
- A level set method for structural topology optimization.
- A geometry projection method for continuum-based topology optimization with discrete elements
- Filters in topology optimization
- A Class of Globally Convergent Optimization Methods Based on Conservative Convex Separable Approximations
- Shape optimization with topological changes and parametric control
- The method of moving asymptotes—a new method for structural optimization
- A Simple Mesh Generator in MATLAB
- A geometry projection method for shape optimization
- Achieving minimum length scale in topology optimization using nodal design variables and projection functions
- Topology optimization of nonlinear elastic structures and compliant mechanisms
- Design of multiphysics actuators using topology optimization. I: One-material structures. II: Two-material structures.
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