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Fracture of materials with rate-dependent mechanical behaviour, e.g. polymers, is a highly complex process. For an adequate modelling, the coupling between rate-dependent stiffness, dissipative mechanisms present in the bulk material and…

Materials Science · Physics 2023-11-27 Franz Dammaß , Karl A. Kalina , Marreddy Ambati , Markus Kästner

We present a quasi-conforming embedded reproducing kernel particle method (QCE-RKPM) for modeling heterogeneous materials that makes use of techniques not available to mesh-based methods such as the finite element method (FEM) and avoids…

Computational Engineering, Finance, and Science · Computer Science 2023-04-14 Ryan T. Schlinkman , Jonghyuk Baek , Frank N. Beckwith , Stacy M. Nelson , J. S. Chen

In this work, we couple a high-accuracy phase-field fracture reconstruction approach iteratively to fluid-structure interaction. The key motivation is to utilize phase-field modelling to compute the fracture path. A mesh reconstruction…

Numerical Analysis · Mathematics 2024-08-19 Henry von Wahl , Thomas Wick

The phase field model is a widely used mathematical approach for describing crack propagation in continuum damage fractures. In the context of phase field fracture simulations, adaptive finite element methods (AFEM) are often employed to…

Numerical Analysis · Mathematics 2025-05-30 Tian Tian , Chen Chunyu , He Liang , Wei Huayi

The numerical performance of the material point method (MPM) is strongly governed by the particle-grid kernel, which controls the trade-off among smoothness, locality, numerical diffusion, contact accuracy, and computational cost. Although…

Computational Engineering, Finance, and Science · Computer Science 2026-04-22 Qirui Fu , Yupeng Jiang , Minchen Li

Many time-dependent deformation processes at elevated temperatures produce significant concurrent microstructure changes that can alter the mechanical properties in a profound manner. Such microstructure evolution is usually absent in…

Materials Science · Physics 2016-02-04 Pengyang Zhao , Thaddeus Song En Low , Yunzhi Wang , Stephen R. Niezgoda

We propose a full 3D benchmark problem for brittle fracture based on experiments as well as a validation in the context of phase-field models. The example consists of a series of four-point bending tests on graphite specimens with sharp…

Computational Engineering, Finance, and Science · Computer Science 2020-04-22 Lisa Hug , Stefan Kollmannsberger , Zohar Yosibash , Ernst Rank

The paper addresses the problem of a Mode III interfacial crack advancing quasi-statically in a heterogeneous composite material, that is a two-phase material containing elastic inclusions, both soft and stiff, and defects, such as…

Mathematical Physics · Physics 2011-10-25 Andrea Piccolroaz , Gennady Mishuris , Alexander Movchan , Natasha Movchan

An image-based deep learning framework is developed in this paper to predict damage and failure in microstructure-dependent composite materials. The work is motivated by the complexity and computational cost of high-fidelity simulations of…

Machine Learning · Computer Science 2022-06-07 Reza Sepasdar , Anuj Karpatne , Maryam Shakiba

A coupled mech-hydro-chemical model for rock geometry alteration of fractures under water-rock interaction (WRI) and geostress is developed. Processes including WRI, asperity deformation, mineral chemical dissolution and pressure…

Geophysics · Physics 2019-04-12 Cheng Yu

Mathematical models and computer algorithms are developed to calculate dynamic stress concentration and fracture wave propagation in a reinforced composite sheet. The composite consists of a regular system alternating extensible fibers and…

Computational Physics · Physics 2012-03-09 M. Ayzenberg-Stepanenko , Z. Yanovitsky , G. Osharovich

Non-linear phase field models are increasingly used for the simulation of fracture propagation models. The numerical simulation of fracture networks of realistic size requires the efficient parallel solution of large coupled non-linear…

We develop a novel constitutive modeling approach for the analysis of fracture propagation in quasi-brittle materials using the Material Point Method. The kinematics of constitutive models is enriched with an additional mode of localized…

Computational Physics · Physics 2014-06-06 Giang Dinh Nguyen

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

Bone adapts in response to its mechanical environment. This evolution of bone density is one of the most important mechanisms for developing fracture resistance. A finite element framework for simulating bone adaptation, commonly called…

Computational Engineering, Finance, and Science · Computer Science 2020-01-06 Karol Lewandowski , Łukasz Kaczmarczyk , Ignatios Athanasiadis , John F. Marshall , Chris J. Pearce

This paper proposes a phase field model (PFM) for describing hydraulic fracture propagation in transversely isotopic media. The coupling between the fluid flow and displacement fields is established according to the classical Biot…

Geophysics · Physics 2023-09-11 Shuwei Zhou , Xiaoying Zhuang

In this work, we extend a phase-field approach for pressurized fractures to non-isothermal settings. Specifically, the pressure and the temperature are given quantities and the emphasis is on the correct modeling of the interface laws…

Numerical Analysis · Mathematics 2019-05-22 Nima Noii , Thomas Wick

In this paper, we study applications of the virtual element method (VEM) for simulating the deformation of multiphase composites. The VEM is a Galerkin approach that is applicable to meshes that consist of arbitrarily-shaped polygonal and…

Numerical Analysis · Mathematics 2022-04-29 N. Sukumar , John E. Bolander

A numerical framework for simulating progressive failure under high-cycle fatigue loading is validated against experiments of composite quasi-isotropic open-hole laminates. Transverse matrix cracking and delamination are modeled with a…

Computational Engineering, Finance, and Science · Computer Science 2024-05-06 P. Hofman , F. P. van der Meer , L. J. Sluys

We propose a novel variational phase-field model for fracture in anisotropic materials. The model is specifically designed to allow a more flexible calibration of crack nucleation than existing anisotropic fracture formulations, while…