4.7 Article

Phase-field modeling of brittle fracture in functionally graded materials using exponential finite elements

Related references

Note: Only part of the references are listed.
Article Materials Science, Multidisciplinary

Phase-field modeling of brittle fracture using automatically oriented exponential finite elements

P. C. Sidharth et al.

Summary: In the past decade, there has been an increasing interest in using the phase-field approach for modeling fracture processes in different materials. While conventional phase-field implementations require a fine mesh for simulating fracture processes, exponential finite element (EFE) shape functions can predict sharp gradients in solution variables even with a coarse mesh. This study proposes an approximate analysis using bi-linear finite element shape functions to orient the EFE shape functions before computations, resulting in computational advantages in terms of accuracy and computational times for predicted load responses.

INTERNATIONAL JOURNAL OF FRACTURE (2023)

Article Automation & Control Systems

Performance evaluation of fatigue behavior in extrusion-based functionally graded materials

Suhas Alkunte et al.

Summary: The present study examined the fatigue life behavior of functionally graded additive manufacturing (FGAM) parts fabricated using Material Extrusion (MEX). It reveals the potential of FGMs for designing and improving the mechanical behavior of fabricated structures. A blend of polylactic acid (PLA) and thermoplastic polyurethane (TPU) are used as raw materials for experimentation. From the analysis, a set of optimal parameters is determined for the FGAM specimens, leading to superior performance in any working environment. This study is novel in investigating the fatigue behavior of FGAM structures, which has never been attempted before.

INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY (2023)

Article Mechanics

Numerical phase-field vibration analysis of cracked functionally graded GPL-RC plates

Jalal Torabi et al.

Summary: This study uses the phase-field method and Mindlin's plate model to effectively simulate the vibration behavior of cracked functionally graded graphene platelets-reinforced composite plates considering stationary cracks. Numerical modeling and convergence studies demonstrate the performance of the introduced numerical model.

MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES (2022)

Article Mechanics

A comprehensive investigation on macro-micro crack interactions in functionally graded materials using ordinary-state based peridynamics

M. Ozdemir et al.

Summary: Through studying the interactions between a macro-crack and various micro-crack configurations, it is found that certain micro-crack configurations can improve the toughness of specimens, while some have marginal impact on crack growth rate. The ordinary state-based Peridynamics method used can effectively simulate complex crack patterns.

COMPOSITE STRUCTURES (2022)

Article Mathematics, Interdisciplinary Applications

Adaptive numerical integration of exponential finite elements for a phase field fracture model

Darius Olesch et al.

Summary: Phase field models for fracture utilize a continuous field variable to indicate cracks, requiring a better approximation with exponential shape functions. However, accurate integration of these functions presents challenges.

COMPUTATIONAL MECHANICS (2021)

Article Mechanics

Adaptive analysis for phase-field model of brittle fracture of functionally graded materials

Yulong Shao et al.

Summary: In this study, the gradient distributions of material properties were considered in the phase-field model of fracture, and the fracture analysis of FGMs was solved numerically using the adaptive EFG method. The results showed that the proposed method accurately reflects the influence of different material parameter distributions on crack propagation and is highly efficient compared to traditional methods.

ENGINEERING FRACTURE MECHANICS (2021)

Article Mechanics

A phase field method for plane-stress fracture problems with tension-compression asymmetry

Zhibin Li et al.

Summary: The phase field model is a promising method for simulating damage and fracture behavior, with particular focus on addressing plane-stress problems. This paper proposes modifications to existing phase field constitutive models to ensure satisfaction of plane-stress conditions. The effectiveness of the modifications is demonstrated through numerical examples.

ENGINEERING FRACTURE MECHANICS (2021)

Article Instruments & Instrumentation

A phase-field model for crack growth in electro-mechanically coupled functionally graded piezo ceramics

Shaswat Mohanty et al.

SMART MATERIALS AND STRUCTURES (2020)

Article Engineering, Mechanical

Numerical study on crack propagation simulation in functionally graded materials by enriched natural element method

Jin-Rae Cho

JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY (2020)

Article Engineering, Mechanical

A phase-field study of crack propagation and branching in functionally graded materials using explicit dynamics

Moirangthem Dinachandra et al.

THEORETICAL AND APPLIED FRACTURE MECHANICS (2020)

Article Engineering, Multidisciplinary

Phase field modelling of crack propagation in functionally graded materials

Hirshikesh et al.

COMPOSITES PART B-ENGINEERING (2019)

Article Engineering, Mechanical

A quadtree-polygon-based scaled boundary finite element method for crack propagation modeling in functionally graded materials

X. Chen et al.

THEORETICAL AND APPLIED FRACTURE MECHANICS (2018)

Article Materials Science, Multidisciplinary

Crack propagation modelling in functionally graded materials using scaled boundary polygons

Ean Tat Ooi et al.

INTERNATIONAL JOURNAL OF FRACTURE (2015)

Article Mathematics, Interdisciplinary Applications

A review on phase-field models of brittle fracture and a new fast hybrid formulation

Marreddy Ambati et al.

COMPUTATIONAL MECHANICS (2015)

Article Engineering, Multidisciplinary

Fracture modeling of isotropic functionally graded materials by the numerical manifold method

H. H. Zhang et al.

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS (2014)

Article Engineering, Multidisciplinary

Extended isogeometric analysis for simulation of stationary and propagating cracks

Seyed Shahram Ghorashi et al.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2012)

Article Engineering, Multidisciplinary

Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations

C. Miehe et al.

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING (2010)

Article Materials Science, Multidisciplinary

Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments

Hanen Amor et al.

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2009)

Article Materials Science, Multidisciplinary

On fracture criteria for mixed-mode crack propagation in functionally graded materials

Jeong-Ho Kim et al.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES (2007)

Article Materials Science, Multidisciplinary

An experimental study of mixed mode crack initiation and growth in functionally graded materials

J Abanto-Bueno et al.

EXPERIMENTAL MECHANICS (2006)

Article Engineering, Mechanical

Cohesive zone modeling of dynamic failure in homogeneous and functionally graded materials

ZYJ Zhang et al.

INTERNATIONAL JOURNAL OF PLASTICITY (2005)

Article Mechanics

Mesh-free analysis of cracks in isotropic functionally graded materials

BN Rao et al.

ENGINEERING FRACTURE MECHANICS (2003)

Article Mechanics

On the computation of mixed-mode stress intensity factors in functionally graded materials

JE Dolbow et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2002)

Article Materials Science, Multidisciplinary

Compositionally graded materials with cracks normal to the elastic gradient

CE Rousseau et al.

ACTA MATERIALIA (2000)

Article Materials Science, Multidisciplinary

Numerical experiments in revisited brittle fracture

B Bourdin et al.

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS (2000)