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Classically, the constitutive behavior of materials is described either phenomenologically, or by homogenization approaches. Phenomenological approaches are computationally very efficient, but are limited for complex non-linear and…

Computational Physics · Physics 2020-01-28 Christoph Settgast , Geralf Hütter , Meinhard Kuna , Martin Abendroth

We consider the matrix composite materials (CM) of either random (statistically homogeneous or inhomogeneous), periodic, or deterministic (neither random nor periodic) structures. CMs exhibit linear or nonlinear behavior, coupled or…

Classical Physics · Physics 2025-12-23 Valeriy A. Buryachenko

In this work, we developed an improved shear lag model to investigate the load transfer characteristics of three-phase nanocomposite which is reinforced with microscale fibers augmented with carbon nanotubes on their circumferential…

Materials Science · Physics 2016-08-23 S. I. Kundalwal , S. A. Meguid

Additive manufacturing methods together with topology optimization have enabled the creation of multiscale structures with controlled spatially-varying material microstructure. However, topology optimization or inverse design of such…

Materials Science · Physics 2024-08-28 Harikrishnan Vijayakumaran , Jonathan B. Russ , Glaucio H. Paulino , Miguel A. Bessa

We propose to homogenize a periodic (along one direction) structure, first in order to verify the quasi-static prediction of its response to an acoustic wave arising from mixing theory, then to address the question of what becomes of this…

Applied Physics · Physics 2018-03-14 Armand Wirgin

The growing use of composite materials in engineering applications has accelerated the demand for computational methods to accurately predict their complex behavior. Multiscale modeling based on computational homogenization is a potentially…

Numerical Analysis · Mathematics 2024-10-18 N. Kovács , M. A. Maia , I. B. C. M. Rocha , C. Furtado , P. P. Camanho , F. P. van der Meer

This paper presents volumetric homogenization, a spatially varying homogenization scheme for knitwear simulation. We are motivated by the observation that macro-scale fabric dynamics is strongly correlated with its underlying knitting…

Graphics · Computer Science 2024-10-01 Chun Yuan , Haoyang Shi , Lei Lan , Yuxing Qiu , Cem Yuksel , Huamin Wang , Chenfanfu Jiang , Kui Wu , Yin Yang

Computational material modeling using advanced numerical techniques speeds up the design process and reduces the costs of developing new engineering products. In the field of multiscale modeling, huge computation efforts are expected for…

Disordered Systems and Neural Networks · Physics 2023-01-31 Fadi Aldakheel , Celal Soyarslan , Hari Subramani Palanisamy , Elsayed Saber Elsayed

Multiscale techniques have been widely shown to potentially overcome the limitation of homogenization schemes in representing the microscopic failure mechanisms in heterogeneous media as well as their influence on their structural response…

Numerical Analysis · Mathematics 2021-08-10 Fabrizio Greco , Lorenzo Leonetti , Paolo Lonetti , Raimondo Luciano , Andrea Pranno

In modern engineering designs, advanced materials (e.g., fiber/particle-reinforced polymers, metallic alloys, laminar composites, etc.) are widely used, where microscale heterogeneities such as grains, inclusions, voids, micro-cracks, and…

Computational Engineering, Finance, and Science · Computer Science 2022-10-24 Haoyan Wei , Dandan Lyu , Wei Hu , C. T. Wu

Acknowledging the ever-increasing demand for composites in the engineering industry, this paper focuses on the failure of composites at the microscale and augmenting the use of multiscale modelling techniques to make them better for various…

Computational Engineering, Finance, and Science · Computer Science 2025-08-14 Hari Sankar R , Harpreet Singh

Data-driven convective parameterization aims to accurately represent convective adjustments to large-scale forcings in a computationally economic manner. While previous studies have demonstrated success using various model architectures,…

Atmospheric and Oceanic Physics · Physics 2025-06-02 Qiyu Song , Zhiming Kuang

In homogenization theory, mathematical models at the macro level are constructed based on the solution of auxiliary cell problems at the micro level within a single periodicity cell. These problems are formulated using asymptotic expansions…

Numerical Analysis · Mathematics 2025-06-10 P. N. Vabishchevich

This paper reviews the current state-of-the-art in the simulation of the mechanical behavior of polycrystalline materials by means of computational homogenization. The key ingredients of this modelling strategy are presented in detail…

Materials Science · Physics 2018-11-22 J. Segurado , R. A. Lebensohn , J. LLorca

A two-layer statistically equivalent periodic unit cell is offered to predict a macroscopic response of plain weave multilayer carbon-carbon textile composites. Falling-short in describing the most typical geometrical imperfections of these…

Materials Science · Physics 2013-09-06 Jan Vorel , Jan Zeman , Michal Šejnoha

Computational multiscale methods for analyzing and deriving constitutive responses have been used as a tool in engineering problems because of their ability to combine information at different length scales. However, their application in a…

Machine Learning · Statistics 2021-08-03 Jan Niklas Fuhg , Christoph Boehm , Nikolaos Bouklas , Amelie Fau , Peter Wriggers , Michele Marino

In recent years, significant advancements have been made in computational methods for analyzing masonry structures. Within the Finite Element Method, two primary approaches have gained traction: Micro and Macro Scale modeling, and their…

Computational Engineering, Finance, and Science · Computer Science 2024-09-02 Alejandro Cornejo , Philip Kalkbrenner , Riccardo Rossi , Luca Pelà

This paper introduces an advanced Computational Analytical Micromechanics (CAM) framework for linear thermoelastic composites (CMs) with periodic microstructures. The approach is based on an exact new Additive General Integral Equation…

Computational Physics · Physics 2026-01-05 V. A. Buryachenko

Virtual garment simulation has become increasingly important with applications in garment design and virtual try-on. However, reproducing garments faithfully remains a cumbersome process. We propose an end-to-end method for estimating…

Graphics · Computer Science 2024-01-30 Joy Xiaoji Zhang , Gene Wei-Chin Lin , Lukas Bode , Hsiao-yu Chen , Tuur Stuyck , Egor Larionov

This work presents an enhanced Computational Analytical Micromechanics (CAM) framework for the analysis of linear thermoelastic composite materials (CMs) with random microstructure. The proposed approach is grounded in an exact Additive…

Computational Physics · Physics 2026-01-05 Valeriy A. Buryachenko