Determination of stress intensity factors of V-notch structures by characteristic analysis coupled with isogeometric boundary element method

Han, Zhilin; Chen, Cheng; Yao, Shanlong; Niu, Zhongrong

doi:10.1016/j.engfracmech.2019.106717

Cited by 15 publications

(3 citation statements)

References 35 publications

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“…It should be pointed out that both the BEM and CAD rely on a surface definition, so the BEM can be seen as a more natural numerical method than the finite element method (FEM) for the tight integration of the isogeometric analysis and CAD modelling. The IGABEM framework has been used in various areas including elastostatics [49][50][51], acoustics [52], heat conduction [53], topology optimization [54][55][56][57], liquid sloshing [58], fracture [59,60], potential problems [61], and underground excavations [62].…”

Section: Introductionmentioning

confidence: 99%

An isogeometric boundary element method for heat transfer problems of multiscale structures in electronic packaging with arbitrary heat sources

Gong

Qin

Dong

et al. 2022

Applied Mathematical Modelling

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Section: Introductionmentioning

confidence: 99%

An isogeometric boundary element method for heat transfer problems of multiscale structures in electronic packaging with arbitrary heat sources

Gong

Qin

Dong

et al. 2022

Applied Mathematical Modelling

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“…Some theories have been developed to evaluate and predict the fracture behavior of notched components in linearly elastic or plastic materials. [1][2][3][4][5][6] However, as far as the authors' knowledge, theories to characterize the fracture strength of sharp V-notch in viscoplastic solids still need to be developed thoroughly.…”

Section: Introductionmentioning

confidence: 99%

“…Fracture assessments of notched component in linear‐elastic materials and plastic solids have drawn a lot of attentions in available literatures. Some theories have been developed to evaluate and predict the fracture behavior of notched components in linearly elastic or plastic materials 1–6 . However, as far as the authors' knowledge, theories to characterize the fracture strength of sharp V‐notch in viscoplastic solids still need to be developed thoroughly.…”

Section: Introductionmentioning

confidence: 99%

Sharp V‐notches in viscoplastic solids: Strain energy rate density rule and fracture toughness

Dai

Susmel

Qin

2020

Fatigue Fract Eng Mat Struct

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Different from Neuber's rule or Glinka's energy method which are always adopted to characterize the notch tip field under elastoplastic condition, in this paper, the strain energy rate density (SERD) rule is used for viscoplastic materials. In particular, based on the definition of generalized notch stress intensity factor (G-NSIF) for sharp V-notch in viscoplastic solids, the concept of SERD for sharp V-notch in viscoplastic solids is presented. Subsequently, by taking as a starting point the SERD, the averaged strain energy density (SED) for sharp V-notch in viscoplastic solids is derived with integration of time. The fracture toughness relation between sharp V-notch specimens and crack specimen in viscoplastic materials is given based on the transformation of SERD. A numerical approach is presented to compute the SERD and SED based on finite element method. Some crucial comments on the G-NSIF have been discussed. Some typical solutions for SERD and SED for sharp V-notched specimens are investigated.

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The semianalytical analysis of nearly singular integrals in 2D potential problem by isogeometric boundary element method

Han

Huang

Chen

et al. 2020

Numerical Meth Engineering

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Benefited from the accuracy improvement in modeling physical problem of complex geometry and integrating the discretization and simulation, the isogeometric analysis in boundary element method (IGABEM) has been drawn a great deal of attention. The nearly singular integrals of 2D potential problem in the IGABEM are addressed by a semianalytical scheme in the present work. We use the subtraction technique to separate the integrals to singular and nonsingular parts, where the singular parts can be calculated by the analytical formulae derived by utilizing a series of integration by parts, while the nonsingular parts are calculated numerically with fewer quadrature points. Comparing the present semianalytical results with the ones of exact solutions, we find that the present method can obtain precise potential and flux densities of inner points much closer to the boundary without refining the elements nearby. Sufficient comparisons with other regularization schemes, such as the exponential and sinh transformation methods, are also conducted. The results in the numerical examples show the competitiveness of the present method, especially when calculating the nearly strongly and highly singular integrals during the simulation of the flux density.

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Determination of stress intensity factors of V-notch structures by characteristic analysis coupled with isogeometric boundary element method

Cited by 15 publications

References 35 publications

An isogeometric boundary element method for heat transfer problems of multiscale structures in electronic packaging with arbitrary heat sources

An isogeometric boundary element method for heat transfer problems of multiscale structures in electronic packaging with arbitrary heat sources

Sharp V‐notches in viscoplastic solids: Strain energy rate density rule and fracture toughness

The semianalytical analysis of nearly singular integrals in 2D potential problem by isogeometric boundary element method

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