Abstract
Prior methods for calculating energy release rate in cracked laminates were extended to account for heterogeneous laminates and residual stresses. The method is to partition the crack tip stresses into local bending moments and normal forces. A general equation is then given for the total energy release rate in terms of the crack-tip moments and forces and the temperature difference experienced by the laminate. The analysis method is illustrated by several example test geometries. The examples were verified by comparison to numerical calculations. The residual stress term in the total energy release rate equation was found to be essentially exact in all example calculations.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S.G. Bardenhagen J.E. Guilkey K.M. Roessig J.U. Brackbill W.M. Witzel J.C. Foster (2001) ArticleTitleAn improved contact algorithm for the material point method and application to stress propagation in granular material Computer Modeling in Engineering and Sciences 2 509–522 Occurrence Handle1147.74375
W.J. Cantwell R. Scudamore J. Ratcliffe P. Davies (1999) ArticleTitleInterfacial fracture in sandwich laminates Comparative Science and Techniques 59 2079–2085 Occurrence Handle10.1016/S0266-3538(99)00065-2
L.A. Carlsson J.W. Gillespire R.B. Pipes (1986) ArticleTitleOn The analysis and design of the end notched flexure (ENF) specimen for mode II testing Journal of Comparative Material 20 594–604
B.D. Davidson V. Sundararaman (1996) ArticleTitleA single-leg bending test for interfacial fracture toughness determination International Journal of Frac ture 78 193–210 Occurrence Handle10.1007/BF00034525
Fawcett, W. (2005). Comparison of Carbon Foam vs. Aluminum Honeycomb for Composite Cores at Elevated Temperatures. M.S. Thesis, University of Utah, Salt Lake City, UT, USA
Y. Guo J.A. Nairn (2004) ArticleTitleCalculation of j-integral and stress intensity factors using the material point method Computer Modeling in Engineering and Sciences 6 295–308 Occurrence Handle1074.74652
S. Guo D.A. Dillard J.A. Nairn (2006) ArticleTitleThe Effect of residual stress on the energy release rate of wedge and DCB test specimens International Journal Adheson and Adhesive 26 285–294 Occurrence Handle10.1016/j.ijadhadh.2005.04.002
S. Hashemi A.J. Kinloch J.G. Williams (1990) ArticleTitleThe analysis of interlaminar fracture in uniaxial fibre reinforced polymer composites Proceeding Royal Society London A347 173–199 Occurrence Handle1990RSPSA.427..173H Occurrence Handle10.1098/rspa.1990.0007
J.W. Hutchinson Z. Suo (1992) ArticleTitleMixed mode cracking in layered materials Advances in Applied Mechanics 29 63–191 Occurrence Handle0790.73056
J.A. Nairn (1988a) ArticleTitleFracture mechanics of unidirectional composites using the shear-lag model I: theory Journal of Comparative Materials 22 561–588
J.A. Nairn (1988b) ArticleTitleFracture mechanics of unidirectional composites using the shear-lag model II: experiment Journal of Comparative Materials 22 589–600
J.A. Nairn (1997) ArticleTitleFracture mechanics of composites with residual thermal stresses Journal of Applied Mechanics 64 804–810 Occurrence Handle0912.73040
J.A. Nairn (1999) ArticleTitleEnergy release rate analysis of adhesive and laminate double cantilever beam specimens emphasizing the effect of residual stresses International Journal of Adhesion and Adhesives 20 59–70 Occurrence Handle10.1016/S0143-7496(99)00016-0
J.A. Nairn (2000) ArticleTitleExact and variational theorems for fracture mechanics of composites with residual stresses, traction-loaded cracks, and imperfect interfaces International Journal of Fracture 105 243–271 Occurrence Handle10.1023/A:1007666426275
J.A. Nairn (2003) ArticleTitleMaterial point method calculations with explicit cracks Computer Modeling in Engineering and Sciences 4 649–664 Occurrence Handle1064.74176
Nairn, J.A. (2005). Finite element and material point method software for macintosh computers. http://oregonstate.edu/~nairnj/.
J.A. Nairn S. Liu H. Chen A.R. Wedgewood (1990) ArticleTitleLongitudinal splitting in epoxy and k-Polymer composites: shear-lag analysis including the effect of fiber bridging Journal of Comparative Materials 25 1086–1107
Pax, G.M. (2005). Aminosilanes and Hyperbranched Polymers for Adhesion Tailoring Between Metallic Oxides and Polyethylene. Ph.D. Thesis, École Polytechnique Fédérale de Lausanne, Switzerland.
R.A. Schapery B.D. Davidson (1990) ArticleTitlePrediction of energy release rate for mixed-mode delamination using classical plate theory Applied Mechanics of Review 43 S281–S287 Occurrence Handle10.1115/1.3120829
R. Sethuraman S.K. Maiti (1988) ArticleTitleFinite element based computation of strain energy release rate by modified crack closure integral Engineering Fracture Mechanics 30 227–331 Occurrence Handle10.1016/0013-7944(88)90226-3
J.G. Williams (1988) ArticleTitleOn the calculation of energy release rates for cracked laminates International Journal of Fracture 36 101–119 Occurrence Handle10.1007/BF00017790
Williams, J.G. (1995). Fracture in adhesive joints: the beam on elastic foundation model. Proc. Int’l Mechanical Engineering Congress and Exhibition: The Winter Annual Meeting of the ASME, Symposium on Mechanics of Plastics and Plastic Composites, San Francisco, CA, USA, 12–17.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Nairn, J.A. On the calculation of energy release rates for cracked laminates with residual stresses. Int J Fract 139, 267–293 (2006). https://doi.org/10.1007/s10704-006-0044-0
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s10704-006-0044-0