#### Vol. 1, No. 6, 2006

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A new model to predict the behavior at the interfaces of multilayer structures

### M. Karama, K. S. Afaq and S. Mistou

Vol. 1 (2006), No. 6, 957–977
##### Abstract

One of the current problems connected with multilayer composite structures concerns the analysis of the distribution of the stresses around peculiarities (free edge and loaded edge) and at the interfaces of each layer. This work presents a new shear stress function in the form of the exponential function to predict the mechanical behavior of multilayered laminated composite structures. As a case study, the mechanical behavior of a laminated composite beam $\left(9{0}^{\circ }∕{0}^{\circ }∕{0}^{\circ }∕9{0}^{\circ }\right)$ is examined. The results are compared with the Touratier model sine and the two-dimensional finite element method studied. Results show that this new model is more precise than older ones when compared with results obtained by finite element analysis. To introduce continuity on the interfaces of each layer, the new exponential model is used with Ossadzow kinematics. The equilibrium equations and natural boundary conditions are derived from the principle of virtual power.

##### Keywords
boron fiber, laminate theory, interface, stress transfer, finite element analysis
##### Milestones
Received: 4 December 2005
Revised: 17 January 2006
Accepted: 25 April 2006
Published: 1 October 2006
##### Authors
 M. Karama École Nationale d’Ingénieurs de Tarbes 47 av. Azereix BP1629 65016 Tarbes France K. S. Afaq École Nationale d’Ingénieurs de Tarbes 47 av. Azereix BP1629 65016 Tarbes France S. Mistou École Nationale d’Ingénieurs de Tarbes 47 av. Azereix BP1629 65016 Tarbes France