Advances in mechanics of solids: in memory of Prof. E.M. by David J Steigmann, Remi Vaillancourt, Ardeshir Guran

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By David J Steigmann, Remi Vaillancourt, Ardeshir Guran

The contributions during this quantity are written through famous experts within the fields of mechanics, fabrics modeling and research. They comprehensively handle the center concerns and current the most recent advancements in those and comparable parts. particularly, the booklet demonstrates the breadth of present study job in continuum mechanics. numerous theoretical, computational, and experimental methods are suggested, overlaying finite elasticity, vibration and balance, and mechanical modeling. The insurance displays the level and effect of the study pursued via Professor Haseganu and her overseas colleagues.

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Filippov, S. , Smirnov, A. L. and Tovstik, P. E. (1993). Asymptotic methods in mechanics with applications to thin shells and plates, in Asymptotic Methods in Mechanics, CRM Proc. and Lect. Notes, AMS, 3, pp. 3-142. 5. Donnell, L. H. (1976). Beams, plates and shells, McGraw-Hill. 6. Filippov, S. B. (1997). Application of the asymptotic methods for the evaluation of optimal parameters for the ring-stiffened cylindrical shells, Integral Buckling, Vibrations and Optimal Design of Ring-Stiffened Shells 7.

The semi-momentless theory was applied in [Alfutov (1978)]1 for the construction of the buckling modes for stiffened cylindrical shells. The semimomentless theory represents the first approximation to the asymptotic solution in linear buckling problems. The development of the asymptotic methods in the last decades (see [Bauer et al. (1993)]4 and [Tovstik and Smirnov (2001)]14) allows one to extend the asymptotic approach to the wide range of problems of stiffened shells. Some asymptotic analysis results on linear buckling and free vibrations of ring-stiffened cylindrical shells are presented below.

Appl. Math. 36, 85-99. 3. , (1997), "Non-linear Elastic Deformations", Dover Publications, New York. 4. , (1983), "Dynamic relaxation", Computational Methods for Transient Analysis, eds. T. R. Hughes, Elsevier, Amsterdam, pp. 245-265. 5. , (1994), "Analytical investigation of tension fields in lightweight membrane structures", doctoral dissertation, University of Alberta, Edmonton AB. 6. , (1989), "Direct methods in the calculus of variations", Springer, Berlin. 7. Remarks by Dr. Frank Baginski at the George Washington University, Washington D C , 12 April 2002: 1st Capitol City Symposium on Ultra-Thin Membranes with Applications to Large Super-light Structural Systems.

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