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We introduce a barrier-free optimization framework for non-penetration elastodynamic simulation that matches the robustness of Incremental Potential Contact (IPC) while overcoming its two primary efficiency bottlenecks: (1) reliance on…

Graphics · Computer Science 2026-05-29 Juntian Zheng , Zhaofeng Luo , Minchen Li

In this paper, approximation schemes are proposed for handling load uncertainty in compliance-based topology optimization problems, where the uncertainty is described in the form of a set of finitely many loading scenarios. Efficient…

Computational Engineering, Finance, and Science · Computer Science 2022-05-03 Mohamed Tarek , Tapabrata Ray

This work presents an efficient method to solve a class of continuous-time, continuous-space stochastic optimal control problems of robot motion in a cluttered environment. The method builds upon a path integral representation of the…

Systems and Control · Computer Science 2016-03-10 Jung-Su Ha , Han-Lim Choi

In this paper, we present a topology optimization (TO) framework to enable automated design of mechanical components while ensuring the result can be manufactured using multi-axis machining. Although TO improves the part's performance, the…

Computational Engineering, Finance, and Science · Computer Science 2020-02-19 Amir M. Mirzendehdel , Morad Behandish , Saigopal Nelaturi

The design of compliant mechanisms is crucial in several technologies and relies on the availability of solutions for nonlinear structural problems. One of these solutions is given and experimentally validated in the present article for a…

Classical Physics · Physics 2015-09-23 D. Misseroni , G. Noselli , D. Zaccaria , D. Bigoni

We derive the revenue-optimal efficient (welfare-maximizing) mechanism in a general multidimensional mechanism design setting when type spaces -- that is, the underlying domains from which agents' values come from -- can capture arbitrarily…

Computer Science and Game Theory · Computer Science 2025-05-21 Siddharth Prasad , Maria-Florina Balcan , Tuomas Sandholm

This paper presents a method for the optimization of multi-component structures comprised of two and three materials considering large motion sliding contact and separation along interfaces. The structural geometry is defined by an explicit…

Optimization and Control · Mathematics 2017-01-24 Matthew Lawry , Kurt Maute

We are interested in numerical algorithms for computing the electrical field generated by a charge distribution localized on scale $\ell$ in an infinite heterogeneous medium, in a situation where the medium is only known in a box of…

Analysis of PDEs · Mathematics 2024-07-24 Jianfeng Lu , Felix Otto , Lihan Wang

This work comprises a detailed theoretical and computational study of the boundary value problem for transversely isotropic linear elastic bodies. General conditions for well-posedness are derived in terms of the material parameters. The…

Numerical Analysis · Mathematics 2018-11-01 Faraniaina Rasolofoson , Beverley Grieshaber , B. Daya Reddy

In this article a topology optimization method is developed, which is aware of material uncertainties. The uncertainties are handled in a worst-case sense, i.e. the worst possible material distribution over a given uncertainty set is taken…

Optimization and Control · Mathematics 2018-12-13 Jannis Greifenstein , Michael Stingl

Metal additive manufacturing (AM) processes often fabricate a near-net shape that includes the as-designed part as well as the sacrificial support structures that need to be machined away by subtractive manufacturing (SM), for instance…

Computational Engineering, Finance, and Science · Computer Science 2021-08-09 Amir M. Mirzendehdel , Morad Behandish , Saigopal Nelaturi

Topology optimization (TO) provides a principled mathematical approach for optimizing the performance of a structure by designing its material spatial distribution in a pre-defined domain and subject to a set of constraints. The majority of…

Machine Learning · Computer Science 2024-08-08 Amin Yousefpour , Shirin Hosseinmardi , Carlos Mora , Ramin Bostanabad

We review some features of topology optimization with a lower bound on the critical load factor, as computed by linearized buckling analysis. The change of the optimized design, the competition between stiffness and stability requirements…

Numerical Analysis · Mathematics 2018-09-25 Federico Ferrari , Ole Sigmund

Modular design maximizes utility by using standardized components in large-scale systems. From a manufacturing perspective, it supports green technology by reducing material waste and improving reusability. Industrially, it offers economic…

Emerging Technologies · Computer Science 2025-03-18 Sumin Lee , Namwoo Kang

This paper deals with the applications of stochastic spectral methods for structural topology optimization in the presence of uncertainties. A non-intrusive polynomial chaos expansion is integrated into a topology optimization algorithm to…

Computational Engineering, Finance, and Science · Computer Science 2021-08-04 Nilton Cuellar , Anderson Pereira , Ivan F. M. Menezes , Americo Cunha

This paper presents an optimization approach for generating custom manipulator configurations using a proposed unconventional modular library. An end-to-end solution is presented in which the resulting optimal models of the modular…

Robotics · Computer Science 2023-05-16 Anubhav Dogra , Srikant Sekhar Padhee , Ekta Singla

Stochastic composition optimization draws much attention recently and has been successful in many emerging applications of machine learning, statistical analysis, and reinforcement learning. In this paper, we focus on the composition…

Machine Learning · Computer Science 2018-01-01 Zhouyuan Huo , Bin Gu , Ji Liu , Heng Huang

This work deals with the inference of catalytic recombination parameters from plasma wind tunnel experiments for reusable thermal protection materials. One of the critical factors affecting the performance of such materials is the…

Data Analysis, Statistics and Probability · Physics 2021-12-07 Anabel del Val , Olivier P. Le Maître , Olivier Chazot , Thierry E. Magin , Pietro M. Congedo

We present a new framework for solving general topology optimization (TO) problems that find an optimal material distribution within a design space to maximize the performance of a structure while satisfying design constraints. These…

Numerical Analysis · Mathematics 2024-11-20 Zisheng Ye , Wenxiao Pan

This study proposes a high-order multi-scale method tailored for time-dependent nonlinear thermo-electro-mechanical coupling problems of composite structures with highly spatial heterogeneity, which incorporate temperature-dependent…

Numerical Analysis · Mathematics 2026-04-22 Hao Dong