Prediction of Energy Release Rate for Mixed-Mode Delamination Using Classical Plate Theory

1990 ◽  
Vol 43 (5S) ◽  
pp. S281-S287 ◽  
Author(s):  
R. A. Schapery ◽  
B. D. Davidson
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Mixed Mode ◽  
Plate Theory ◽  
Three Dimensional ◽  
The Finite Element Method ◽  
Classical Plate Theory

Prediction of the energy release rate (ERR) and its components for mixed-mode delamination of composite laminates is discussed. A classical plate theory (CPT) version of Irwin’s virtual crack closure method is developed and used for the ERR, first for plane strain and then for three-dimensional deformations. It is shown that CPT does not provide quite enough information to obtain a decomposition of ERR into its opening and shearing mode components. Results from a continuum analysis are needed to complete the decomposition; but analysis of only one loading case is required for two-dimensional and certain three-dimensional problems. In two example problems the finite element method is used with CPT to complete the mode decomposition. Results from CPT and the finite element method are then compared for several cases.

Thickness Effects Are Minor in the Energy-Release Rate Integral for Bent Plates Containing Elliptic Holes or Cracks

1981 ◽  
Vol 48 (2) ◽  
pp. 320-326 ◽  
Author(s):  
J. G. Simmonds ◽  
J. Duva
Keyword(s):  
Energy Release Rate ◽  
Energy Release ◽  
Relative Error ◽  
Release Rate ◽  
Plate Theory ◽  
Semimajor Axis ◽  
Elliptic Hole ◽  
Three Dimensional ◽  
Radius Of Curvature ◽  
Classical Plate Theory

The exact value of Sanders’ path-independent, energy-release rate integral I for an infinite, bent elastic slab containing an elliptic hole is shown to be approximated by its value from classical plate theory to within a relative error of O(h/c)F(e), where h is the thickness, c is the semimajor axis of the ellipse, and F is a function of the eccentricity e. This result is based on Golden’veiser’s analysis of three-dimensional edge effects in plates, as developed by van der Heijden. As the elliptic hole approaches a crack, F(e)~In (1−e). However, this limit is physically meaningless, because Golden’veiser’s analysis assumes that h is small compared to the minimum radius of curvature of the ellipse. Using Knowles and Wang’s analysis of the stresses in a cracked plate predicted by Reissner’s theory, we show that the relative error in computing I from classical plate theory is only O(h/c)In(h/c), where c is the semicrack length. Our results suggest that classical plate and shell theories are entirely adequate for predicting crack growth, within the limitations of applying any elastic theory to an inherently inelastic phenomenon.

scholarly journals A stiffness derivative local hypercomplex-variable finite element method for computing the energy release rate

2019 ◽  
Vol 218 ◽  
pp. 106581
Author(s):  
Andres M. Aguirre-Mesa ◽  
Daniel Ramirez-Tamayo ◽  
Manuel J. Garcia ◽  
Arturo Montoya ◽  
Harry Millwater
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Element Method

scholarly journals Analysis of Mixed Mode I/II/III Fracture in Foam Core Sandwich Structures Using Imposed Displacement Split Cantilever Beams

2015 ◽  
Vol 45 (3) ◽  
pp. 69-82
Author(s):  
V. Rizov
Keyword(s):  
Finite Element ◽  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Mixed Mode ◽  
Strain Energy ◽  
Strain Energy Release Rate ◽  
Strain Energy Release ◽  
Mode I ◽  
Foam Core

Abstract Static fracture in foam core sandwich structures under mixed mode I/II/III loading conditions was studied theoretically. In order to generate such loading conditions, a thread guide was used to impose in- plane displacements of the lower crack arm of a sandwich Split Cantilever Beam (SCB). The upper crack arm was loaded by a transverse force. A three-dimensional finite element model of the imposed displacement sandwich SCB configuration was developed. The fracture was studied applying the concepts of linear-elastic fracture mechanics. The strain energy release rate mode components distribution along the crack front was analyzed using the virtual crack closure technique. The influence of the imposed displacement magnitude and the crack length on the fracture was evaluated. The effect of the sandwich core material on the mixed-mode I/II/III fracture was studied. For this purpose, finite element simulations were carried-out assuming that the core is made by different rigid cellular foams. It was found that the strain energy release rate decreases when the foam density increases.

Evaluation of energy release rate of composites laminated with finite element method

2015 ◽  
Vol 55 (1) ◽  
pp. 191-204
Author(s):  
Habib Achache ◽  
Benali Boutabout ◽  
Abdelouahab Benzerdjeb ◽  
Djamel Ouinas
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Element Method

Effects of Material Properties and Thickness of Die Attach on Package Delamination of IC Packages

2012 ◽  
Vol 479-481 ◽  
pp. 2564-2567
Author(s):  
Chia Lung Chang ◽  
Cheng Lun Chang ◽  
Ying Long Wang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fracture Mechanics ◽  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Material Properties ◽  
Crack Tip ◽  
Interfacial Delamination ◽  
Die Attach

Finite element method is carried out to calculate the fracture mechanics parameter of interfacial cracking of TSOP (Thin Small Outline Package). Fracture mechanics approach together with finite element results are used to study the impacts of material properties and thickness of die attach on the energy release rate at crack tip of interfacial delamination between die pad and die attach. The results show that larger Young’s modulus, smaller CTE as well thinner thickness of die attach can reduce ERR at crack tip during reflow.

Numerical Solution of an Edge Cracked 2-D Piezoelectric Media Using Extended Finite Element Method

2011 ◽  
Vol 110-116 ◽  
pp. 91-98 ◽  
Author(s):  
Rama R. Bhargava ◽  
Kuldeep Sharma
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Energy Release Rate ◽  
Numerical Solution ◽  
Energy Release ◽  
Release Rate ◽  
Extended Finite Element Method ◽  
Intensity Factors ◽  
Extended Finite Element ◽  
Piezoelectric Media

The numerical solution for an edge crack problem in a two-dimensional (2-D) finite piezoelectric media has been discussed using extended finite element method. The four-fold standard enrichment functions are taken in conjugation with the interaction integral to evaluate the intensity factors (IFs). The intensity factors as well as the mechanical energy release rate and the total energy release rate has been analyzed for different electro-mechanical boundary conditions. It is observed that the IFs results are coupled and contrary to analytic solution which shows uncoupled behaviour.

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