## On the calculation of energy release rates for cracked laminates with residual stresses.(English)Zbl 1197.74119

Summary: 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.

### MSC:

 74R10 Brittle fracture 74E30 Composite and mixture properties

### Keywords:

residual stresses; fracture; laminates; adhesives; friction; interfaces
Full Text:

### References:

 [5] 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 [16] Nairn, J.A. (2005). Finite element and material point method software for macintosh computers. http://oregonstate.edu/$$\sim$$nairnj/. [18] 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. [22] 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.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.