Recent advances in the alternating method for elastic and inelastic fracture analyses

Wang, L.; Atluri, Satya N.

doi:10.1016/0045-7825(96)01054-7

Cited by 21 publications

(9 citation statements)

References 53 publications

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“…SIFs for simple structural idealizations are commonly determined using compiled handbook solutions [4,5] or compounding techniques [1,5,6]. For more complex structural geometries and loading conditions, a variety of computational techniques may be employed in the determination of SIFs (e.g., boundary collocation [7], the finite element method (FEM) [2,8,9], transmission factor methods [10], Schwarz-Neumann alternating methods [11][12][13][14][15], meshless methods [16][17][18][19][20][21][22][23][24], direct boundary BEMs [1,[25][26][27][28][29], and indirect BEMs [30][31][32][33][34][35][36][37][38][39][40].…”

Section: Computational Methods In Linear Elastic Fracture Mechanicsmentioning

confidence: 99%

Hybrid Boundary Element Method for Two-Dimensional Linear Elastic Fracture Analysis

Yohannes

Lacy

Hwang

2012

Mechanics of Advanced Materials and Structures

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A robust one-step hybrid boundary element method for use in two-dimensional linearly elastic fracture mechanics analyses was developed and validated using well known analytic and numerical solutions. The direct boundary element and distributed dislocation methods were used to simulate non-degenerate domain boundaries and internal cracks, respectively. Using Gauss-Chebychev quadrature to evaluate the singular crack face integrals, very accurate mixed mode stress intensity factors for through slit cracks in multiply connected domains were obtained. The hybrid boundary element technique may facilitate damage tolerance design/analysis of complex structures, where the mechanisms of load transfer and progressive structural failure are key concerns.

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Section: Computational Methods In Linear Elastic Fracture Mechanicsmentioning

confidence: 99%

Hybrid Boundary Element Method for Two-Dimensional Linear Elastic Fracture Analysis

Yohannes

Lacy

Hwang

2012

Mechanics of Advanced Materials and Structures

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“…Fracture mechanics problems can be solved using a number of different methods, including finite element and boundary element methods, singular/hybrid finite elements, the alternating method, and path-independent and domain-independent integrals, etc. 3 " 6 As discussed in detail in Ref. 3, the finite element alternating method (FEAM) is considered to be a very efficient and accurate method.…”

Section: Elastic-plastic Finite Element Alternating Methodsmentioning

confidence: 99%

Predictions of Widespread Fatigue Damage Thresholds in Aging Aircraft

et al. 1998

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Commercial transport aircraft are required to operate under the concept of damage tolerance. Because of the structural redundancy and the crack arrest capability, the current fleet of commercial aircraft was initially designed to have sufficient residual strength to sustain discrete source damage. However, fatigue damage during the life of an aircraft can significantly reduce the residual strength of an aging aircraft. It is important to predict the threshold for the onset of widespread fatigue damage, i.e., the initiation and growth of cracks at rivet holes (multiple site damage) to threshold sizes at which, in conjunction with a lead crack, the residual strength of the aircraft may fall below the limit load. A hierarchical global-intermediate-local approach is presented for the numerical predictions of the widespread fatigue damage thresholds. A detailed numerical study is presented to illustrate the importance of 1) the use of elastic-plastic fracture mechanics to assess the residual strength and 2) the importance of the local stresses due to rivet misfit, clamping, cold working, fretting, etc., in assessing the number of fatigue cycles to reach the widespread fatigue damage threshold for an aging aircraft.

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“…The parameters of the Paris-Erdogan law are modeled such that m = 2 and C ∼ LN(2.5 × 10 −23 , 2.5 × 10 −24 ) P a −2 cycles −1 . The stress intensity factors associated with the problem are calculated using the Finite Element Alternating Method (Wang and Atluri, 1996), which has been shown to be a feasible method for studying crack propagation problems considering uncertainties (Proppe, 2003;Proppe et al, 2002). The failure event -the collapse of the mechanical component due to crack propagation -is modeled using the so-called R6 curve criterion (see, e.g.…”

Section: Description Of the Problemmentioning

confidence: 99%

A General Purpose Software For Reliability-Based Optimal Design

Valdebenito

Patelli²,

Schuëller³

2010

Proceedings of the 4th International Workshop on Reliable Engineering Computing Robust Design – Coping With Hazards, Risk and U

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Due to the inherent uncertainties in loads, materials and manufacturing quality, variabilities are unavoidable in structural responses and can cause significant deviations in expected product performance. To ensure the reliability of a structure, these uncertainties must be considered during structural design. In cases where a structure is optimized such that the design requirements are barely met, it is important for engineers to asses the design's reliability and, if necessary, optimize the structure considering the reliability requirement. In those situations where variations in design and operating environment result in considerable variability of the performance of a system, it is critical for engineers to search for a robust design. A robust design is one in which the performance deviation is within acceptable limits. The objective of this paper is to present a life cycle management tool implemented within a general purpose stochastic analysis software named COSSAN-XTM . An overview of the tools for reliability and optimization implemented in the code which are required to solve the robust design problem is presented. In addition, the interaction with deterministic Finite Element codes is also addressed. The salient features of the software are presented by means of a challenging problem of Reliability based optimization and life cycle management.

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Recent advances in the alternating method for elastic and inelastic fracture analyses

Cited by 21 publications

References 53 publications

Hybrid Boundary Element Method for Two-Dimensional Linear Elastic Fracture Analysis

Hybrid Boundary Element Method for Two-Dimensional Linear Elastic Fracture Analysis

Predictions of Widespread Fatigue Damage Thresholds in Aging Aircraft

A General Purpose Software For Reliability-Based Optimal Design

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