Analysis of Potential Energy Release Rate of Composite Laminate Based on Timoshenko Beam Theory

2007 ◽  
pp. 513-516
Author(s):  
Kyohei Kondo
Keyword(s):  
Potential Energy ◽  
Energy Release Rate ◽  
Energy Release ◽  
Timoshenko Beam ◽  
Release Rate ◽  
Composite Laminate ◽  
Beam Theory ◽  
Timoshenko Beam Theory

Analysis of Potential Energy Release Rate of Composite Laminate Based on Timoshenko Beam Theory

2007 ◽  
Vol 334-335 ◽  
pp. 513-516
Author(s):  
Kyohei Kondo
Keyword(s):  
Potential Energy ◽  
Energy Release Rate ◽  
Energy Release ◽  
Timoshenko Beam ◽  
Release Rate ◽  
Double Cantilever Beam ◽  
Beam Theory ◽  
Timoshenko Beam Theory ◽  
Beam Specimen ◽  
Cracked Beam

The Timoshenko beam theory is used to model each part of cracked beam and to calculate the potential energy release rate. Calculations are given for the double cantilever beam specimen, which is simulated as two separate beams connected elastically along the uncracked interface.

Integral Representation of Energy Release Rate in Graded Materials

2006 ◽  
Vol 74 (5) ◽  
pp. 1046-1048 ◽  
Author(s):  
Z.-H. Jin ◽  
C. T. Sun
Keyword(s):  
Potential Energy ◽  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Plastic Material ◽  
Contour Integral ◽  
Material System ◽  
Graded Materials ◽  
Elastic Plastic Material ◽  
Graded Interlayer

It is well known that, for homogeneous materials, the path-independent J contour integral is the (potential) energy release rate. For general nonhomogeneous, or graded materials, such a contour integral as the energy release rate does not exist. This work presents a rigorous derivation of the extended J integral for general graded materials from the potential energy variation with crack extension. Effects of crack shielding and amplification due to a graded interlayer in an elastic-plastic material system are discussed in terms of this integral.

scholarly journals Analytical Energy Release Rate of Interfacial Crack in Composite Laminates

2019 ◽  
Vol 37 (1) ◽  
pp. 137-142
Author(s):  
Weiling Zheng ◽  
Longxi Zheng
Keyword(s):  
Finite Element ◽  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Composite Laminates ◽  
Interfacial Crack ◽  
Crack Tip ◽  
Beam Theory ◽  
Three Point Bending ◽  
The Right

In order to study whether the interfacial crack will grow or not in the composite laminates, the energy release rate of a crack in three-point bending model was obtained by using the Timoshenko beam theory and local generalized forces. The results of energy release rate were validated by the finite element results. The results indicate that the energy release rate of left crack tip is equal to that of the right crack tip when the crack before the crack goes cross the loading point; after the crack goes cross the loading point, the energy release rate of the left crack tip increases and then decreases gradually, while the energy release rate of right crack tip decreases first and increases later; the energy release rate of left crack tip is equal to that of the right crack tip again when the crack is symmetric with the loading point.

scholarly journals A Stretch/Bend Method for In Situ Measurement of the Delamination Toughness of Coatings and Films Attached to Substrates

2010 ◽  
Vol 78 (1) ◽  
Author(s):  
M. Y. He ◽  
J. W. Hutchinson ◽  
A. G. Evans
Keyword(s):  
Residual Stress ◽  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Beam Theory ◽  
Companion Paper ◽  
In Situ Measurement ◽  
Delamination Toughness ◽  
Slender Beams

A stretch/bend method for the in situ measurement of the delamination toughness of coatings attached to substrates is described. A beam theory analysis is presented that illustrates the main features of the test. The analysis is general and allows for the presence of residual stress. It reveals that the test produces stable extension of delaminations, rendering it suitable for multiple measurements in a single test. It also provides scaling relations and enables estimates of the loads needed to extend delaminations. Finite element calculations reveal that the beam theory solutions are accurate for slender beams, but overestimate the energy release rate for stubbier configurations and short delaminations. The substantial influence of residual stress on the energy release rate and phase angle is highly dependent on parameters such as the thickness and modulus ratio for the two layers. Its effect must be included to obtain viable measurements of toughness. In a companion paper, the method has been applied to a columnar thermal barrier coating deposited onto a Ni-based super-alloy.

scholarly journals Delamination of Composite Laminate Plate by Sliding Load Mode

2017 ◽  
Vol 17 (1) ◽  
pp. 69-72
Author(s):  
Eva Kormaníková
Keyword(s):  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Mixed Mode ◽  
Composite Laminate ◽  
Finite Thickness ◽  
Laminate Plate ◽  
Failure Model ◽  
Composite Laminate Plate ◽  
Load Mode

Abstract The paper presents the mixed-mode delamination response of laminate plate made of two sublaminates. To this purpose a sliding load mode of delamination is proposed as failure model. A quasistatic rate-independent delamination problem of laminate plates with a finite thickness is considered. A rate-independent delamination model for a laminated Kirchhoff-Love plate is obtained. The failure model is implemented in ANSYS code to calculate the mixed-mode delamination response as energy release rate along the lamination front.

Vector J-Integral Analysis of Crack Interaction With Pre-existing Singularities

2005 ◽  
Vol 73 (5) ◽  
pp. 876-883 ◽  
Author(s):  
Lifeng Ma ◽  
Tian Jian Lu ◽  
Alexander M. Korsunsky
Keyword(s):  
Potential Energy ◽  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Crack Tip ◽  
Crack Interaction ◽  
Amplification Effect ◽  
Crack Problems ◽  
Remote Loading ◽  
New Criterion

In this paper, the mechanics of a semi-infinite crack interacting with near crack-tip singularities (e.g., dislocations) in two-dimensional solids is investigated using the concept of potential energy release rate. The spontaneous relationship between the crack potential energy release rate and the well-known vector conservative integral Ji(i=1,2) is derived. It is demonstrated that J1 and J2 integrals are equally important in solving crack problems. This allows a more rational criterion to be proposed, based on the criterion of maximum energy release rate, to assess the so-called shielding/amplification effect on the crack tip due to the presence of the singularities. It is shown that the new criterion can not only assess the shielding/amplification effect under pure mode I or mode II remote loading, but also efficiently assess crack-singularity interaction under mixed mode remote loading. Simultaneously, it is found by re-examining the Ji integrals that there exists a simple but universal relation among the three values of the vector Ji integral corresponding separately to the contributions induced from the semi-infinite crack tip, the singularity, and the remote loading. Next, a multi-singularity-crack interaction model is addressed, and the closed-form solution is obtained. Finally, as an example, the problem of a single dislocation interacting with a main crack is solved to demonstrate the validity of the proposed model and the new criterion.

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