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Get Advances in mechanics of solids: in memory of Prof. E.M. PDF

By David J Steigmann, Remi Vaillancourt, Ardeshir Guran

ISBN-10: 9812568670

ISBN-13: 9789812568670

The contributions during this quantity are written by means of recognized experts within the fields of mechanics, fabrics modeling and research. They comprehensively handle the center matters and current the newest advancements in those and comparable components. specifically, the booklet demonstrates the breadth of present learn task in continuum mechanics. numerous theoretical, computational, and experimental ways are stated, protecting finite elasticity, vibration and balance, and mechanical modeling. The insurance displays the level and impression of the examine pursued by means of Professor Haseganu and her foreign colleagues.

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Additional resources for Advances in mechanics of solids: in memory of Prof. E.M. Haseganu

Example text

Edu Buckling of thread-reinforced elastic thin shells is discussed in this paper. Smirnov's and Tovstik's results on the asymptotic analysis of thin isotropic shells are generalized to the case of a shell consisting of a matrix reinforced by fibers. In this work both localized and non localized bucklings are considered, Examples of these cases are, respectively, a convex shell under hydrostatic pressure and a cylindrical shell under axial or hydrostatic pressure. Special attention is devoted to the effect of anisotropy and boundary conditions on the critical buckling load.

To effectively enhance the flexural stiffness to avoid premature elastic buckling failure and resonance, stiffening rings are frequently used. It is shown in [Filippov (1999)] 7 t h a t the critical external pressure of a ring-stiffened cylindrical shell can be five times higher t h a n the critical pressure of a non-stiffened shell of the same mass. The modelling techniques for types. Using the methods of the rings onto the shell and treats the approach has been used in many and the references therein.

Are the eigenvalues for which the boundary value problem for Eq. (6) has non-trivial solutions. The problem of extracting two main boundary conditions for Eq. (6) out of four boundary conditions on the shell edges is discussed in detail in [Tovstik and Smirnov (2001)]14. The boundary conditions for Eq. (6) in the case of freely supported shell edges (FS) have the form d w w = ——r = 0 for x = 0, x = I. (9) dxz The boundary value problem (6), (9) also describes the flexural vibrations of a simply supported beam.

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

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