Boundary Element Analysis of Cracks in Shear Deformable Plates and Shells. Topics in Engineering, Vol 43

Dirgantara, Tatacipta; Mishnaevsky, Leon

doi:10.1115/1.1553440

Cited by 3 publications

(6 citation statements)

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“…The term (= 10=h) is the shear factor. The complete expressions for these fundamental solutions are listed in Reference [5].…”

Section: Boundary Integral Equationsmentioning

confidence: 99%

“…where V * i are the particular solutions of the equation V * i; ÂÂ = W * i3 . The expressions for V * i; are given in Reference [5]. The stress resultant components are obtained by di erentiation of the plate bending displacement integral equation for an internal source point with respect to the source point X and then substituting them into the stress resultant-displacement relations to give…”

Section: Boundary Integral Equationsmentioning

confidence: 99%

“…The kernels W * ijk ; P * ijk ; Q * iÿ , U * ÿ and T * ÿ are given in Reference [5]. To solve the boundary integral equations numerically, the problem is discretized into boundary elements.…”

Section: Boundary Integral Equationsmentioning

confidence: 99%

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Boundary element analysis of assembled plate structures

Dirgantara

2001

Commun. Numer. Meth. Engng.

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SUMMARYThis paper presents an application of the boundary element method to the analysis of plate structures subjected to arbitrary loadings. Using a multi-region technique to assemble plate structures, boundary element formulation for a shear deformable plate bending are coupled with the formulation for plane stress elasticity. Additional equations required to solve the problem are obtained by imposing the compatibility and equilibrium conditions along interface edges. Several examples with di erent conÿg-urations and loadings are presented to demonstrate the e ectiveness of the proposed method.

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“…The term (= 10=h) is the shear factor. The complete expressions for these fundamental solutions are listed in Reference [5].…”

Section: Boundary Integral Equationsmentioning

confidence: 99%

Section: Boundary Integral Equationsmentioning

confidence: 99%

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Boundary element analysis of assembled plate structures

Dirgantara

2001

Commun. Numer. Meth. Engng.

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“…Tension and bending are two basic types of loadings on plates. In the framework of linear elastic fracture mechanics, when a flat plate with a through-thickness crack is loaded in both tension and bending, the stress intensity factors can be obtained by superposition of the stress resultant intensity factors from plate bending and 2D generalized plane stress theories [12]. The DBEM formulation for the generalized plane stress theory [10] is well known and was proposed nearly three decades ago.…”

Section: Introductionmentioning

confidence: 99%

“…The DBEM formulation for the generalized plane stress theory [10] is well known and was proposed nearly three decades ago. When it comes to cracked plates under bending load, shear deformable theories (Reissner and Mindlin), rather than the classical theory (Kirchhoff), should be used because the latter theory is not accurate in representing stress concentration and not sufficient to satisfy three independent boundary conditions [12]. Based on the DBEM formulations for the generalized plane stress and Reissner plate bending theories, the static stress intensity factors for plates subjected to combined tension and bending loads have been estimated in Refs.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Fracture Analysis of Plates Loaded in Tension and Bending Using the Dual Boundary Element Method

Khodaei

2019

KEM

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The purpose of this paper is to solve dynamic fracture problems of plates under both tension and bending using the boundary element method (BEM). The dynamic problems were solved in the Laplace-transform domain, which avoided the calculation of the domain integrals resulting from the inertial terms. The dual boundary element method, in which both displacement and traction boundary integral equations are utilized, was applied to the modelling of cracks. The dynamic fracture analysis of a plate under combined tension and bending loads was conducted using the BEM formulations for the generalized plane stress theory and Mindlin plate bending theory. Dynamic stress intensity factors were estimated based on the crack opening displacements.

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Reliability-based fracture analysis for plate bending problems with the dual boundary element method

Morse¹,

Khodaei²,

Aliabadi³

2020

FRACTURE AND DAMAGE MECHANICS: Theory, Simulation and Experiment

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A novel methodology is presented for the efficient reliability analysis of plate structures containing cracks with the Dual Boundary Element Method (DBEM). The derivatives of the DBEM plate formulations for the Crack Surface Displacement Extrapolation (CSDE) method have been derived for the first time and are used as part of an Implicit Differentiation Method (IDM) for the efficient calculation of Stress Intensity Factor (SIF) sensitivities. A numerical example is investigated in which results from the presented CSDE methodology are compared to those from the J-integral. The SIF sensitivities were used with the First-Order Reliability Method (FORM) to determine the reliability of a plate structure containing a crack. Results indicate that the proposed CSDE methodology is capable of providing estimates for reliability that are very similar to those provided by the J-integral. Given that the proposed CSDE methodology can be easier to implement, it could prove to be an effective alternative to the J-integral for the efficient reliability analysis of plate structures containing cracks.

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Boundary Element Analysis of Cracks in Shear Deformable Plates and Shells. Topics in Engineering, Vol 43

Cited by 3 publications

References 0 publications

Boundary element analysis of assembled plate structures

Boundary element analysis of assembled plate structures

Dynamic Fracture Analysis of Plates Loaded in Tension and Bending Using the Dual Boundary Element Method

Reliability-based fracture analysis for plate bending problems with the dual boundary element method

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