Extended isogeometric analysis for dynamic fracture in multiphase piezoelectric/piezomagnetic composites

Tinh Quoc Bui, Sohichi Hirose, Chuanzeng Zhang, Timon Rabczuk, Cheng Tang Wu, Takahiro Saitoh, Jun Lei

Research output: Contribution to journalArticle

73 Citations (Scopus)

Abstract

A dynamic extended isogeometric analysis (XIGA) is developed for transient fracture of cracked magnetoelectroelastic (MEE) solids under coupled electro-magneto-mechanical loading, taking the advantages of high order NURBS basis functions and enrichment methods. The extended dynamic fracture parameters are estimated through the electro-magneto-mechanical interaction integral. Numerical examples of electrically and magnetically impermeable cracks are studied to demonstrate the accuracy of the proposed XIGA and its ability in reproducing important phenomenological characteristics and behaviors of transient dynamic cracks in MEE materials. Our main objective focuses on the numerical investigations of transient dynamic cracks computed by the XIGA, investigating the effects of some numerical aspects on the responses, presenting new numerical results of dynamic responses, and addressing the XIGA performance. Different degrees of NURBS, polarization, finite size effects, enrichments, loadings, multiple cracks, volume fraction, different multiphase compositions of piezoelectric/piezromagnetic, etc. affecting the responses are investigated. Illustration of scattered elastic waves propagating in the cracked MEE is depicted to take an insight look at the behavior of responses.

Original languageEnglish
Pages (from-to)135-163
Number of pages29
JournalMechanics of Materials
Volume97
DOIs
Publication statusPublished - 2016 Jun 1
Externally publishedYes

Fingerprint

cracks
Cracks
composite materials
Composite materials
Elastic waves
dynamic response
elastic waves
Dynamic response
Volume fraction
Polarization
polarization
Chemical analysis
interactions

Keywords

  • Dynamic fracture
  • Isogeometric analysis
  • Magnetoelectroelastic
  • Smart materials
  • XFEM
  • XIGA

ASJC Scopus subject areas

  • Instrumentation
  • Materials Science(all)
  • Mechanics of Materials

Cite this

Extended isogeometric analysis for dynamic fracture in multiphase piezoelectric/piezomagnetic composites. / Bui, Tinh Quoc; Hirose, Sohichi; Zhang, Chuanzeng; Rabczuk, Timon; Wu, Cheng Tang; Saitoh, Takahiro; Lei, Jun.

In: Mechanics of Materials, Vol. 97, 01.06.2016, p. 135-163.

Research output: Contribution to journalArticle

Bui, Tinh Quoc ; Hirose, Sohichi ; Zhang, Chuanzeng ; Rabczuk, Timon ; Wu, Cheng Tang ; Saitoh, Takahiro ; Lei, Jun. / Extended isogeometric analysis for dynamic fracture in multiphase piezoelectric/piezomagnetic composites. In: Mechanics of Materials. 2016 ; Vol. 97. pp. 135-163.
@article{19904fd41176428f8d4db06c34ecd403,
title = "Extended isogeometric analysis for dynamic fracture in multiphase piezoelectric/piezomagnetic composites",
abstract = "A dynamic extended isogeometric analysis (XIGA) is developed for transient fracture of cracked magnetoelectroelastic (MEE) solids under coupled electro-magneto-mechanical loading, taking the advantages of high order NURBS basis functions and enrichment methods. The extended dynamic fracture parameters are estimated through the electro-magneto-mechanical interaction integral. Numerical examples of electrically and magnetically impermeable cracks are studied to demonstrate the accuracy of the proposed XIGA and its ability in reproducing important phenomenological characteristics and behaviors of transient dynamic cracks in MEE materials. Our main objective focuses on the numerical investigations of transient dynamic cracks computed by the XIGA, investigating the effects of some numerical aspects on the responses, presenting new numerical results of dynamic responses, and addressing the XIGA performance. Different degrees of NURBS, polarization, finite size effects, enrichments, loadings, multiple cracks, volume fraction, different multiphase compositions of piezoelectric/piezromagnetic, etc. affecting the responses are investigated. Illustration of scattered elastic waves propagating in the cracked MEE is depicted to take an insight look at the behavior of responses.",
keywords = "Dynamic fracture, Isogeometric analysis, Magnetoelectroelastic, Smart materials, XFEM, XIGA",
author = "Bui, {Tinh Quoc} and Sohichi Hirose and Chuanzeng Zhang and Timon Rabczuk and Wu, {Cheng Tang} and Takahiro Saitoh and Jun Lei",
year = "2016",
month = "6",
day = "1",
doi = "10.1016/j.mechmat.2016.03.001",
language = "English",
volume = "97",
pages = "135--163",
journal = "Mechanics of Materials",
issn = "0167-6636",
publisher = "Elsevier",

}

TY - JOUR

T1 - Extended isogeometric analysis for dynamic fracture in multiphase piezoelectric/piezomagnetic composites

AU - Bui, Tinh Quoc

AU - Hirose, Sohichi

AU - Zhang, Chuanzeng

AU - Rabczuk, Timon

AU - Wu, Cheng Tang

AU - Saitoh, Takahiro

AU - Lei, Jun

PY - 2016/6/1

Y1 - 2016/6/1

N2 - A dynamic extended isogeometric analysis (XIGA) is developed for transient fracture of cracked magnetoelectroelastic (MEE) solids under coupled electro-magneto-mechanical loading, taking the advantages of high order NURBS basis functions and enrichment methods. The extended dynamic fracture parameters are estimated through the electro-magneto-mechanical interaction integral. Numerical examples of electrically and magnetically impermeable cracks are studied to demonstrate the accuracy of the proposed XIGA and its ability in reproducing important phenomenological characteristics and behaviors of transient dynamic cracks in MEE materials. Our main objective focuses on the numerical investigations of transient dynamic cracks computed by the XIGA, investigating the effects of some numerical aspects on the responses, presenting new numerical results of dynamic responses, and addressing the XIGA performance. Different degrees of NURBS, polarization, finite size effects, enrichments, loadings, multiple cracks, volume fraction, different multiphase compositions of piezoelectric/piezromagnetic, etc. affecting the responses are investigated. Illustration of scattered elastic waves propagating in the cracked MEE is depicted to take an insight look at the behavior of responses.

AB - A dynamic extended isogeometric analysis (XIGA) is developed for transient fracture of cracked magnetoelectroelastic (MEE) solids under coupled electro-magneto-mechanical loading, taking the advantages of high order NURBS basis functions and enrichment methods. The extended dynamic fracture parameters are estimated through the electro-magneto-mechanical interaction integral. Numerical examples of electrically and magnetically impermeable cracks are studied to demonstrate the accuracy of the proposed XIGA and its ability in reproducing important phenomenological characteristics and behaviors of transient dynamic cracks in MEE materials. Our main objective focuses on the numerical investigations of transient dynamic cracks computed by the XIGA, investigating the effects of some numerical aspects on the responses, presenting new numerical results of dynamic responses, and addressing the XIGA performance. Different degrees of NURBS, polarization, finite size effects, enrichments, loadings, multiple cracks, volume fraction, different multiphase compositions of piezoelectric/piezromagnetic, etc. affecting the responses are investigated. Illustration of scattered elastic waves propagating in the cracked MEE is depicted to take an insight look at the behavior of responses.

KW - Dynamic fracture

KW - Isogeometric analysis

KW - Magnetoelectroelastic

KW - Smart materials

KW - XFEM

KW - XIGA

UR - http://www.scopus.com/inward/record.url?scp=84961718027&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84961718027&partnerID=8YFLogxK

U2 - 10.1016/j.mechmat.2016.03.001

DO - 10.1016/j.mechmat.2016.03.001

M3 - Article

AN - SCOPUS:84961718027

VL - 97

SP - 135

EP - 163

JO - Mechanics of Materials

JF - Mechanics of Materials

SN - 0167-6636

ER -