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Topology optimization has emerged as a popular approach to refine a component's design and increase its performance. However, current state-of-the-art topology optimization frameworks are compute-intensive, mainly due to multiple finite…

Machine Learning · Computer Science 2022-10-27 Jaydeep Rade , Aditya Balu , Ethan Herron , Jay Pathak , Rishikesh Ranade , Soumik Sarkar , Adarsh Krishnamurthy

The robust topology optimization formulation that introduces the eroded and dilated versions of the design has gained increasing popularity in recent years, mainly because of its ability to produce designs satisfying a minimum length scale.…

Optimization and Control · Mathematics 2021-04-16 Denis Trillet , Pierre Duysinx , Eduardo Fernández

Topology optimization using gradient search with negative and positive elliptical masks and honeycomb tessellation is presented. Through a novel skeletonization algorithm for topologies defined using filled and void hexagonal…

Computational Engineering, Finance, and Science · Computer Science 2020-10-13 Nikhil Singh , Prabhat Kumar , Anupam Saxena

It is classical that, when the small deformation is assumed, the incremental analysis problem of an elastoplastic structure with a piecewise-linear yield condition and a linear strain hardening model can be formulated as a convex quadratic…

Optimization and Control · Mathematics 2017-08-22 Yoshihiro Kanno

In this paper we propose tools for high-order mesh optimization and demonstrate their benefits in the context of multi-material Arbitrary Lagrangian-Eulerian (ALE) compressible shock hydrodynamic applications. The mesh optimization process…

Numerical Analysis · Mathematics 2021-04-19 Veselin Dobrev , Patrick Knupp , Tzanio Kolev , Ketan Mittal , Robert Rieben , Vladimir Tomov

We develop and apply a novel shape optimization exemplified for a two-blade rotor with respect to the figure of merit ($FM$). This topologically assisted optimization (TAO) contains two steps. First a global evolutionary optimization is…

We develop a fourth order accurate finite difference method for the three dimensional elastic wave equation in isotropic media with the piecewise smooth material property. In our model, the material property can be discontinuous at curved…

Numerical Analysis · Mathematics 2021-06-29 Lu Zhang , Siyang Wang , N. Anders Petersson

We propose a new algorithm for the solution of the robust multiple-load topology optimization problem. The algorithm can be applied to any type of problem, e.g., truss topology, variable thickness sheet or free material optimization. We…

Optimization and Control · Mathematics 2013-07-30 Michal Kocvara

This paper firstly presents an implementation of multi-material topology optimization (MTO) for in-plane bi-directional functionally graded (IBFG) non-uniform thickness Reissner-Mindlin plates. The mathematical formulation of the MTO is…

Numerical Analysis · Mathematics 2023-09-29 Nam G. Luu , Thanh T. Banh

A novel computational framework for designing metamaterials with negative Poisson's ratio over a large strain range is presented in this work by combining the density-based topology optimization together with a mixed stress/deformation…

Computational Engineering, Finance, and Science · Computer Science 2019-07-31 Guodong Zhang , Kapil Khandelwal

We propose a neural network-based computational framework for the simultaneous optimization of structural topology, curved layers, and path orientations to achieve strong anisotropic strength in fiber-reinforced thermoplastic composites…

Machine Learning · Computer Science 2025-05-08 Tao Liu , Tianyu Zhang , Yongxue Chen , Weiming Wang , Yu Jiang , Yuming Huang , Charlie C. L. Wang

This paper presents a density-based topology optimization method for designing three-dimensional (3D) compliant mechanisms and loadbearing structures with design-dependent pressure loading. Instead of interface-tracking techniques, the…

Computational Engineering, Finance, and Science · Computer Science 2021-06-22 Prabhat Kumar , Matthijs Langelaar

This paper proposes an algorithm to find robust reliability-based topology optimized designs under a random-field material model. The initial design domain is made of linear elastic material whose property, i.e., Young's modulus, is modeled…

Optimization and Control · Mathematics 2022-01-04 Trung Pham , Christopher Hoyle

Topological optimization finds a material density distribution minimizing a functional of the solution of a partial differential equation (PDE), subject to a set of constraints (typically, a bound on the volume or mass of the material).…

Numerical Analysis · Mathematics 2017-05-23 G. V. Ovchinnikov , D. Zorin , I. V. Oseledets

We investigate a fixed domain approach in shape optimization, using a regularization of the Heaviside function both in the cost functional and in the state system. We consider the compliance minimization problem in linear elasticity, a well…

Optimization and Control · Mathematics 2020-04-07 Cornel Marius Murea , Dan Tiba

We present a computational design methodology for topology optimization of multi-material-based flexoelectric composites. The methodology extends our recently proposed design methodology for a single flexoelectric material. We adopt the…

Computational Physics · Physics 2019-01-31 Hamid Ghasemi , Harold S. Park , Timon Rabczuk

Accelerated proximal gradient methods have recently been developed for solving quasi-static incremental problems of elastoplastic analysis with some different yield criteria. It has been demonstrated through numerical experiments that these…

Optimization and Control · Mathematics 2020-11-13 Yoshihiro Kanno

Cardiac muscle tissue during relaxation is commonly modelled as a hyperelastic material with strongly nonlinear and anisotropic stress response. Adapting the behavior of such a model to experimental or patient data gives rise to a parameter…

Tissues and Organs · Quantitative Biology 2016-03-16 Gabriel Balaban , Martin S. Alnæs , Joakim Sundnes , Marie E. Rognes

In complex terrain construction environments, there are high demands for robots to achieve both high payload capacity and mobility flexibility. As the key load-bearing component, the optimization of robotic leg structures is of particular…

Robotics · Computer Science 2025-07-23 Xiao Liu , Xianlong Yang , Weijun Wang , Wei Feng

A new density field representation technique called the Bezier skeleton explicit density (BSED) representation scheme for topology optimization of stretchable metamaterials under finite deformation is proposed for the first time. The…

Computational Engineering, Finance, and Science · Computer Science 2020-06-24 Hao Deng , Shawn Hinnebusch , Albert C. To