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The combination of Finite Element Method (FEM) simulation and experimental photo-elasticity provides both qualitative and quantitative information about the stress field in a polymer composite and particularly along the fibre-matrix…

Materials Science · Physics 2007-05-23 H. Matthias Deuschle , Falk K. Wittel , Henry Gerhard , Gerhard Busse , Bernd-H. Kroeplin

A novel numerical approach to analyze the mechanical behavior within composite materials including the inelastic regime up to final failure is presented. Therefore, a second-gradient theory is combined with phase-field methods to fracture.…

Computational Engineering, Finance, and Science · Computer Science 2021-04-20 Maik Dittman , Jonathan Schult , Felix Schmidt , Christian Hesch

This paper addresses the modeling of fracture in quasi-brittle materials using a phase-field approach to the description of crack topology. Within the computational mechanics community, several studies have treated the issue of modeling…

Computational Engineering, Finance, and Science · Computer Science 2019-03-01 Jacinto Ulloa , Patricio Rodríguez , Cristóbal Samaniego , Esteban Samaniego

Strongly anisotropic geomaterials undergo fracture under compressive loading. This paper applies a phase-field fracture model to study this fracture process. While phase-field fracture models have several advantages, they provide unphysical…

The phase field method has gathered significant attention in the past decade due to its versatile applications in engineering contexts, including fatigue crack propagation modeling. Particularly, the phase field cohesive zone method…

Computational Engineering, Finance, and Science · Computer Science 2024-02-06 A. Baktheer , E. Martínez-Pañeda , F. Aldakheel

In this paper a problem of numerical simulation of hydraulic fractures is considered. An efficient algorithm of solution is proposed for the plain strain model of hydraulic fracturing. The algorithm utilizes a FEM based subroutine to…

Mathematical Physics · Physics 2022-05-26 Michal Wrobel , Panos Papanastasiou , Daniel Peck

Simulation of fracturing processes in porous rocks can be divided into two main branches: (i) modeling the rock as a continuum which is enhanced with special features to account for fractures, or (ii) modeling the rock by a discrete (or…

Numerical Analysis · Mathematics 2017-02-07 Halvor Møll Nilsen , Idar Larsen , Xavier Raynaud

We present a novel computational framework to simulate the electromechanical response of self-sensing carbon nanotube (CNT)-based composites experiencing fracture. The computational framework combines electrical-deformation-fracture finite…

Computational Engineering, Finance, and Science · Computer Science 2023-02-22 L. Quinteros , E. García-Macías , E. Martínez-Pañeda

The phase-field method has emerged as a powerful tool for simulating fracture mechanics, yet it presents significant numerical challenges, particularly regarding the enforcement of physical constraints such as irreversibility and…

Numerical Analysis · Mathematics 2026-04-30 Miguel Castillón , Biswajit Khara , Jørgen S. Dokken , Thomas M. Surowiec , Brendan Keith , Yuri Bazilevs

For the fatigue life of thin-walled components, not only fatigue crack initiation, but also crack growth is decisive. The phase-field method for fracture is a powerful tool to simulate arbitrary crack phenomena. Recently, it has been…

Materials Science · Physics 2021-04-07 Martha Seiler , Sören Keller , Nikolai Kashaev , Benjamin Klusemann , Markus Kästner

The incidence of vertebral fragility fracture is increased by the presence of preexisting pathologies such as metastatic disease. Computational tools could support the fracture prediction and consequently the decision of the best medical…

Computational Engineering, Finance, and Science · Computer Science 2024-02-16 Chiara Garavelli , Alessandra Aldieri , Marco Palanca , Enrico Dall'Ara , Marco Viceconti

The accurate and efficient prediction of crack propagation in dielectric materials is a critical challenge in structural health monitoring and the design of smart systems. This work presents a hybrid modeling framework that combines an…

Computational Physics · Physics 2026-02-03 Aamir Dean , Jaykumar Mavani , Betim Bahtiri , Behrouz Arash , Raimund Rolfes

Accurate identification of material parameters is crucial for predictive modeling in computational mechanics. The two primary approaches in the experimental mechanics' community for calibration from full-field digital image correlation data…

Computational Engineering, Finance, and Science · Computer Science 2025-03-26 Sanjeev Kumar , D. Thomas Seidl , Brian N. Granzow , Jin Yang , Jan N. Fuhg

Flexoelectricity refers to a phenomenon which involves a coupling of the mechanical strain gradient and electric polarization. In this study, a meshless Fragile Points Method (FPM), is presented for analyzing flexoelectric effects in…

Numerical Analysis · Mathematics 2020-11-13 Yue Guan , Leiting Dong , Satya N. Atluri

Phase-field approaches to fracture based on energy minimization principles have been rapidly gaining popularity in recent years, and are particularly well-suited for simulating crack initiation and growth in complex fracture networks. In…

Materials Science · Physics 2018-03-14 Juan Michael Sargado , Eirik Keilegavlen , Inga Berre , Jan Martin Nordbotten

This paper presents a unified variational framework that integrates phase-field fracture (PFF) and third-medium contact (TMC) within finite deformation hyperelasticity. The key idea is that both crack and contact are treated through…

Computational Physics · Physics 2026-03-18 Jaemin Kim , Gukheon Kim , Sungmin Yoon , Dong-Hwa Lee

Osteoporosis is a common bone disease that occurs when the creation of new bone does not keep up with the loss of old bone, resulting in increased fracture risk. Adults over the age of 50 are especially at risk and see their quality of life…

Image and Video Processing · Electrical Eng. & Systems 2021-02-16 P. A. Bjornsson , B. Helgason , H. Palsson , S. Sigurdsson , V. Gudnason , L. M. Ellingsen

The fracture simulation of random particle reinforced composite structures remains a challenge. Current techniques either assumed a homogeneous model, ignoring the microstructure characteristics of composite structures, or considered a…

Numerical Analysis · Mathematics 2022-12-23 Zihao Yang , Shaoqi Zheng , Shangkun Shen , Fei Han

In this work, we introduce a time memory formalism in poroelasticity model that couples the pressure and displacement. We assume this multiphysics process occurs in multicontinuum media. The mathematical model contains a coupled system of…

Numerical Analysis · Mathematics 2022-01-20 Aleksei Tyrylgin , Maria Vasilyeva , Anatoly Alikhanov , Dongwoo Sheen

This paper presents a novel approach for solving fourth-order phase-field models in brittle fracture mechanics using the Interior Penalty Finite Element Method (IP-FEM). The fourth-order model improves numerical stability and accuracy…

Numerical Analysis · Mathematics 2025-04-15 Tian Tian , Chen Chunyu , Wei Huayi