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By B. S. S. Daniel, G. P. Chaudhari

ISBN-10: 3037855266

ISBN-13: 9783037855263

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Abramowicz, T. Wierzbicki, Axial crushing of multicorner sheet metal columns, J. App. Mech. 56(1) (1989) 113-120. [8] M. G. P. Degischer, R. Gradinger, Crushing of axially compressed steel tubes filled with aluminium foam, Acta Mech. 125 (1997) 93-105. [9] J. Banhart, MetallschaÈume, Proceedings of Symposium MetallschaÈume. 6-7 March, 1997, Bremen, Verlag MIT, Bremen, Germany. [10] D. P. Mondal, M. D. Goel, S. Das, Effect of strain rate and relative density on compressive deformation behaviour of closed cell aluminium-fly ash composite foam, Mat.

Abstract. During the growth of an epitaxial overlayer on a thick substrate (GeSi on Si), an interfacial misfit dislocation becomes energetically favourable on exceeding the critical thickness. In substrates of finite thickness, the value of critical thickness is altered with respect to thick substrates. Thin substrates can bend and partially relax the coherency stresses, thus contributing to the altered value of the critical thickness. The current work aims at simulating the stress state of a growing finite epitaxial overlayer on a substrate of finite thickness, using finite element method.

Lx Ly i =1 j =1 where w0 is the deflection, i and j are half-waves in the x and y directions, and wij are unknown parameters. By applying the principle of stationary potential energy, the critical buckling load factor λcr [5] can be evaluated as (2) F33 F34 F35 ( λcr )ij F34 F44 F45 F35 F54 F55 1 = . 2 2 F44 F45 N x (iπ Lx ) + N y ( jπ Ly ) F45 F55 where Fmn are complex equations involving the terms of bending stiffness matrix ([D]) and transverse shear stiffness matrix ([S]) terms. Detailed form of Fmn and the derivation of the above equation is provided in the reference [5].

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Advances in Materials and Processing: Challenges and Opportunities: Selected, Peer Reviewed Papers From the International Conference on Advanced ... and Opportu by B. S. S. Daniel, G. P. Chaudhari


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