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The work describes a numerical method to study the nature of compressive failure of porous ceramics in relation to its volume fraction. The microstructure of an alumina-based foam material manufactured by mechanical stirring of a slurry is…

Applied Physics · Physics 2025-03-13 Vinit Vijay Deshpande , Romana Piat

The concept of concurrent material and structure optimization aims at alleviating the computational discovery of optimum microstructure configurations in multiphase hierarchical systems, whose macroscale behavior is governed by their…

Computational Physics · Physics 2022-04-15 Tarun Gangwar , Dominik Schillinger

A new gradient-based formulation for predicting fracture in elastic-plastic solids is presented. Damage is captured by means of a phase field model that considers both the elastic and plastic works as driving forces for fracture. Material…

Computational Engineering, Finance, and Science · Computer Science 2021-08-12 S. S. Shishvan , S. Assadpour-asl , E. Martínez-Pañeda

Computational modeling of the structural behavior of continuous fiber composite materials often takes into account the periodicity of the underlying micro-structure. A well established method dealing with the structural behavior of periodic…

Computational Engineering, Finance, and Science · Computer Science 2017-07-17 Charilaos Mylonas , Valentin Bemetz , Eleni Chatzi

Review of selected fundamental topics on the interaction between phase transformations, fracture, and other structural changes in inelastic materials is presented. It mostly focuses on the concepts developed in the author's group over last…

Materials Science · Physics 2021-08-24 Valery I. Levitas

Honeycomb-like microstructures have been shown to exhibit local elastic buckling under compression, with three possible geometric buckling modes, or pattern transformations. The individual pattern transformations, and consequently also…

Soft Condensed Matter · Physics 2020-04-14 O. Rokoš , M. M. Ameen , R. H. J. Peerlings , M. G. D. Geers

In this work, we analytically investigate a multi-component system for describing phase separation and damage processes in solids. The model consists of a parabolic diffusion equation of fourth order for the concentration coupled with an…

Analysis of PDEs · Mathematics 2013-12-09 Elena Bonetti , Christian Heinemann , Christiane Kraus , Antonio Segatti

We propose a novel approach to optimize the design of heterogeneous materials, with the goal of enhancing their effective fracture toughness under mode-I loading. The method employs a Gaussian processes-based Bayesian optimization framework…

Optimization and Control · Mathematics 2023-03-29 Sukhminder Singh , Lukas Pflug , Julia Mergheim , Michael Stingl

Strain gradient theory is an accurate model for capturing the size effect and localization phenomena. However, the challenge in identification of corresponding constitutive parameters limits the practical application of the theory. We…

Computational Engineering, Finance, and Science · Computer Science 2021-12-30 Hua Yang , Bilen Emek Abali , Wolfgang H. Müller , Salma Barboura , Jia Li

This paper focuses on the development of the atomistic framework for determining the lower scale mechanical parameters of single components of a metal matrix composite for final application to a micromechanical damage model. Here, the…

Materials Science · Physics 2024-03-11 Marcin Maździarz , Szymon Nosewicz

Modeling of frictional contacts is crucial for investigating mechanical performances of composite materials under varying service environments. The paper considers a linear elasticity system with strongly heterogeneous coefficients and…

Analysis of PDEs · Mathematics 2023-07-21 Changqing Ye , Eric T. Chung , Junzhi Cui

The deformation and flow of disordered solids, such as metallic glasses and concentrated emulsions, involves swift localized rearrangements of particles that induce a long-range deformation field. To describe these heterogeneous processes,…

Disordered Systems and Neural Networks · Physics 2019-01-02 Alexandre Nicolas , Ezequiel E. Ferrero , Kirsten Martens , Jean-Louis Barrat

The first part of the cumulative thesis contains the numerical analysis of different $hp$-finite element discretizations related to two different weak formulations of a model problem in elastoplasticity with linearly kinematic hardening.…

Numerical Analysis · Mathematics 2024-02-06 Patrick Bammer

The behavior of materials is influenced by a wide range of phenomena occurring across various time and length scales. To better understand the impact of microstructure on macroscopic response, multiscale modeling strategies are essential.…

This paper presents a data-driven framework for modeling plastic deformation in crystalline metals through acoustic emission (AE) analysis. Building on experimental data from compressive loading of nickel micropillars, the study introduces…

Machine Learning · Computer Science 2026-03-30 Khalid El-Awady

The multiscale simulation of heterogeneous materials is a popular and important subject in solid mechanics and materials science due to the wide application of composite materials. However, the classical FE2 (finite element2) scheme can be…

Computational Engineering, Finance, and Science · Computer Science 2020-09-09 Yangyuanchen Liu , Kexin Weng , Yongxing Shen

Ultrasound Elastography aims to determine the mechanical properties of the tissue by monitoring tissue deformation due to internal or external forces. Tissue deformations are estimated from ultrasound radio frequency (RF) signals and are…

Image and Video Processing · Electrical Eng. & Systems 2021-10-19 Abdelrahman Zayed , Hassan Rivaz

In two and three dimensions, this study is focused on the numerical analysis of an eigenproblem associated with a fluid-structure model for sloshing and elasto-acoustic vibration. We use a displacement-Herrmann pressure formulation for the…

Numerical Analysis · Mathematics 2025-11-05 Arbaz Khan , Felipe Lepe , David Mora , Ricardo Ruíz-Baier , Jesus Vellojin

In order to better understand the interaction between pore-fluid overpressure and failure patterns in rocks we consider a porous elasto-plastic medium in which a laterally localized overpressure line source is imposed at depth below the…

Geophysics · Physics 2008-01-04 Alexander Rozhko , Yuri Podladchikov , François Renard

A micromorphic computational homogenization framework has recently been developed to deal with materials showing long-range correlated interactions, i.e. displaying patterning modes. Typical examples of such materials are elastomeric…

Soft Condensed Matter · Physics 2024-06-21 S. Maraghechi , O. Rokoš , R. H. J. Peerlings , M. G. D. Geers , J. P. M. Hoefnagels