A novel size independent symplectic analytical singular element for inclined crack terminating at bimaterial interface

X.F. Hu, Q.S. Shen, J.N. Wang, W.A. Yao, S.T. Yang

Research output: Contribution to journalArticle

  • 2 Citations

Abstract

Cracks often exist in composite structures, especially at the interface of two different materials. These cracks can significantly affect the load bearing capacity of the structure and lead to premature failure of the structure. In this paper, a novel element for modeling the singular stress state around the inclined interface crack which terminates at the interface is developed. This new singular element is derived based on the explicit form of the high order eigen solution which is, for the first time, determined by using a symplectic approach. The developed singular element is then applied in finite element analysis and the stress intensity factors (SIFs) for a number of crack configurations are derived. It has been concluded that composites with complex geometric configurations of inclined interface cracks can be accurately simulated by the developed method, according to comparison of the results against benchmarks. It has been found that the stiffness matrix of the proposed singular element is independent of the element size and the SIFs of the crack can be solved directly without any post-processing.
LanguageEnglish
Pages361-379
Number of pages19
JournalApplied Mathematical Modelling
Volume50
Early online date9 Jun 2017
DOIs
StatePublished - 31 Oct 2017

Fingerprint

Bimaterial
Inclined
Crack
Cracks
Interface Crack
Stress Intensity Factor
Stress intensity factors
Configuration
Composite Structures
Terminate
Stiffness Matrix
Post-processing
Composite
Stiffness matrix
Higher Order
Benchmark
Finite Element
Bearing capacity
Composite structures
Loads (forces)

Keywords

  • composites
  • inclined interface crack
  • high order eigen solution
  • singular elements
  • stress intensity factors

Cite this

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title = "A novel size independent symplectic analytical singular element for inclined crack terminating at bimaterial interface",
abstract = "Cracks often exist in composite structures, especially at the interface of two different materials. These cracks can significantly affect the load bearing capacity of the structure and lead to premature failure of the structure. In this paper, a novel element for modeling the singular stress state around the inclined interface crack which terminates at the interface is developed. This new singular element is derived based on the explicit form of the high order eigen solution which is, for the first time, determined by using a symplectic approach. The developed singular element is then applied in finite element analysis and the stress intensity factors (SIFs) for a number of crack configurations are derived. It has been concluded that composites with complex geometric configurations of inclined interface cracks can be accurately simulated by the developed method, according to comparison of the results against benchmarks. It has been found that the stiffness matrix of the proposed singular element is independent of the element size and the SIFs of the crack can be solved directly without any post-processing.",
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A novel size independent symplectic analytical singular element for inclined crack terminating at bimaterial interface. / Hu, X.F.; Shen, Q.S.; Wang, J.N.; Yao, W.A.; Yang, S.T.

In: Applied Mathematical Modelling, Vol. 50, 31.10.2017, p. 361-379.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A novel size independent symplectic analytical singular element for inclined crack terminating at bimaterial interface

AU - Hu,X.F.

AU - Shen,Q.S.

AU - Wang,J.N.

AU - Yao,W.A.

AU - Yang,S.T.

PY - 2017/10/31

Y1 - 2017/10/31

N2 - Cracks often exist in composite structures, especially at the interface of two different materials. These cracks can significantly affect the load bearing capacity of the structure and lead to premature failure of the structure. In this paper, a novel element for modeling the singular stress state around the inclined interface crack which terminates at the interface is developed. This new singular element is derived based on the explicit form of the high order eigen solution which is, for the first time, determined by using a symplectic approach. The developed singular element is then applied in finite element analysis and the stress intensity factors (SIFs) for a number of crack configurations are derived. It has been concluded that composites with complex geometric configurations of inclined interface cracks can be accurately simulated by the developed method, according to comparison of the results against benchmarks. It has been found that the stiffness matrix of the proposed singular element is independent of the element size and the SIFs of the crack can be solved directly without any post-processing.

AB - Cracks often exist in composite structures, especially at the interface of two different materials. These cracks can significantly affect the load bearing capacity of the structure and lead to premature failure of the structure. In this paper, a novel element for modeling the singular stress state around the inclined interface crack which terminates at the interface is developed. This new singular element is derived based on the explicit form of the high order eigen solution which is, for the first time, determined by using a symplectic approach. The developed singular element is then applied in finite element analysis and the stress intensity factors (SIFs) for a number of crack configurations are derived. It has been concluded that composites with complex geometric configurations of inclined interface cracks can be accurately simulated by the developed method, according to comparison of the results against benchmarks. It has been found that the stiffness matrix of the proposed singular element is independent of the element size and the SIFs of the crack can be solved directly without any post-processing.

KW - composites

KW - inclined interface crack

KW - high order eigen solution

KW - singular elements

KW - stress intensity factors

UR - http://www.sciencedirect.com/science/article/pii/S0307904X17303864

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DO - 10.1016/j.apm.2017.05.046

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JO - Applied Mathematical Modelling

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