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Most biological tissues grow by the synthesis of new material close to the tissue's interface, where spatial interactions can exert strong geometric influences on the local rate of growth. These geometric influences may be mechanistic, or…

Numerical Analysis · Mathematics 2020-05-28 Mohd Almie Alias , Pascal R Buenzli

Most peridynamics models adopt regular point distribution and unified horizon, limiting their flexibility and engineering applications. In this work, a micropolar peridynamics approach with non-unified horizon (NHPD) is proposed. This…

Computational Engineering, Finance, and Science · Computer Science 2020-09-18 Yiming Zhang , Xueqing Yang , Xiaoying Zhuang

A long-standing challenge is designing multi-scale structures with good connectivity between cells while optimizing each cell to reach close to the theoretical performance limit. We propose a new method for direct multi-scale topology…

Neural and Evolutionary Computing · Computer Science 2025-02-21 Hongrui Chen , Xingchen Liu , Levent Burak Kara

It is well known that the solution of topology optimization problems may be affected both by the geometric properties of the computational mesh, which can steer the minimization process towards local (and non-physical) minima, and by the…

Numerical Analysis · Mathematics 2016-12-28 Paola F. Antonietti , Matteo Bruggi , Simone Scacchi , Marco Verani

We indicate a new approach to the optimization of the clamped plates with holes. It is based on the use of Hamiltonian systems and the penalization of the performance index. The alternative technique employing the penalization of the state…

Optimization and Control · Mathematics 2025-10-20 Cornel Marius Murea , Dan Tiba

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

Topology optimization techniques have been applied in integrated optics and nanophotonics for the inverse design of devices with shapes that cannot be conceived by human intuition. At optical frequencies, these techniques have only been…

Optics · Physics 2022-04-15 Emadeldeen Hassan , Antonio Calà Lesina

The objective of this paper is to introduce and demonstrate a robust method for multi-constrained topology optimization. The method is derived by combining the topological sensitivity with the classic augmented Lagrangian formulation. The…

Computational Engineering, Finance, and Science · Computer Science 2022-03-31 Shiguang Deng , Krishnan Suresh

The simulated self-assembly of molecular building blocks into functional complexes is a key area of study in computational biology and materials science. Self-assembly simulations of proteins using physically-motivated potentials for…

Soft Condensed Matter · Physics 2025-09-03 Ivan Spirandelli , Arnur Nigmetov , Dmitriy Morozov , Myfanwy E. Evans

A multiscale asymptotic homogenization method for periodic microstructured materials in presence of thermoelasticity with periodic spatially dependent one relaxation time is introduced. The asymptotic expansions of the micro-displacement…

Materials Science · Physics 2021-04-12 Deison Préve , Andrea Bacigalupo , Marco Paggi

In the context of high fossil fuel consumption and inefficiency within China's energy systems, effective demand-side management is essential. This study examines the thermal characteristics of various building types across different…

Systems and Control · Electrical Eng. & Systems 2024-11-20 Ranran Yang

This paper presents a synthesis approach in a density-based topology optimization setting to design large deformation compliant mechanisms for inducing desired strains in biological tissues. The modelling is based on geometrical…

Computational Engineering, Finance, and Science · Computer Science 2021-03-26 P. Kumar , C. Schmidleithner , N. B. Larsen , O. Sigmund

This paper presents a canonical duality approach for solving a general topology optimization problem of nonlinear elastic structures. By using finite element method, this most challenging problem can be formulated as a mixed integer…

Discrete Mathematics · Computer Science 2017-06-29 David Yang Gao

This work is concerned with the micro-architecture of multi-layer material that globally exhibits desired mechanical properties, for instance a negative apparent Poisson ratio. We use inverse homogenization, the level set method, and the…

Optimization and Control · Mathematics 2019-01-30 Grigor Nika , Andrei Constantinescu

This work proposes an extension of phase change and latent heat models for the simulation of metal powder bed fusion additive manufacturing processes on the macroscale and compares different models with respect to accuracy and numerical…

Computational Engineering, Finance, and Science · Computer Science 2021-09-07 Sebastian D. Proell , Wolfgang A. Wall , Christoph Meier

The Finite element method (FEM) has long served as the computational backbone for topology optimization (TO). However, for designing structures undergoing large deformations, conventional FEM-based TO often exhibits numerical instabilities…

Computational Engineering, Finance, and Science · Computer Science 2026-03-17 Rahul Kumar Padhy , Aaditya Chandrasekhar , Krishnan Suresh

We discuss a topology optimization problem for an elastoplastic medium. The distribution of material in a region is optimized with respect to a given target functional taking into account compliance. The incremental elastoplastic problem…

Optimization and Control · Mathematics 2020-11-02 Stefano Almi , Ulisse Stefanelli

An effective nonlocal integral formulation for functionally graded Bernoulli-Euler beams in nonisothermal environment is developed. Both thermal and mechanical loadings are accounted for. The proposed model, of stress-driven integral type,…

Applied Physics · Physics 2019-06-25 Raffaele Barretta , Marko Čanađija , Francesco Marotti de Sciarra

This paper presents a structural optimisation method in three-dimensional acoustic-elastic coupled problems. The proposed optimisation method finds an optimal allocation of elastic materials which reduces the sound level on some fixed…

Numerical Analysis · Mathematics 2016-12-21 Hiroshi Isakari , Toyohiro Kondo , Toru Takahashi , Toshiro Matsumoto

This paper provides a method for the simultaneous topology optimization of parts and their corresponding joint locations in an assembly. Therein, the joint locations are not discrete and predefined, but continuously movable. The underlying…

Computational Engineering, Finance, and Science · Computer Science 2020-09-14 Olaf Ambrozkiewicz , Benedikt Kriegesmann
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