Download PDF by Donald E. Carlson, Yi-Chao Chen: Advances in Continuum Mechanics and Thermodynamics of

By Donald E. Carlson, Yi-Chao Chen

ISBN-10: 9401007284

ISBN-13: 9789401007283

ISBN-10: 9401038376

ISBN-13: 9789401038379

The papers integrated during this quantity have been provided on the Symposium on Advances within the Continuum Mechanics and Thermodynamics of fabric habit, held as a part of the 1999 Joint ASME utilized Mechanics and fabrics summer time convention at Virginia Tech on June 27-30, 1999. The Symposium used to be held in honor of Professor Roger L. Fosdick on his sixtieth birthday.
The papers are written via favourite researchers within the fields of mechanics, thermodynamics, fabrics modeling, and utilized arithmetic. They tackle open questions and current the most recent improvement in those and similar parts. This quantity is a worthwhile reference for researchers and graduate scholars in universities and examine laboratories.

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Extra info for Advances in Continuum Mechanics and Thermodynamics of Material Behavior: In Recognition of the 60th Birthday of Roger L. Fosdick

Sample text

However, this increase in elongation is accompanied by the simultaneous bending and twisting of the bar. 6. Conclusions We have derived governing equations, constitutive relations, and boundary conditions for quasistatic deformations of an anisotropic plate-like and an anisotropic rod-like body by using a mixed variational principle of Yang and Batra for a piezoelectric body. The transverse shear deformations of a plate and the changes in its thickness are accounted for. Similarly, deformations of a cross-section of the rod due to double forces without moments applied at its mantle are considered.

Those principles have been discussed in application to this particular tensegrity structure [7], an equilibrium analysis of this same structure can be found within a comprehensive text on under-constrained structures [5], and this same example has been treated in a recent article [4] that addresses questions of nonlinear response and control. If constructed with 9 rigid bars, at a generic nodal geometry, a truss with the topology of Figure 1 would be a statically determinate rigid body. It would neither admit a prestress nor admit any nodal movement whatsoever.

Mathematics Subject Classifications (2000): 52C25, 70B10, 70B15, 73K05. Key words: tensegrity, structural stability, elastic structures. 1. 1. A BASIC TENSEGRITY STRUCTURE Following the pattern of sculptures by Kenneth Snelson in 1948, in 1961 Buckminster Fuller patented a class of cable-bar assemblages which he called tensegrity structures. Figure 1 pictures a well-known example of such a structure constructed with three bars and six cables. Tensegrity structures have attracted interest recently because of their potential advantages as lightweight structures, as variable geometry trusses, as shape adaptive structures, and as deployable structures.

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Advances in Continuum Mechanics and Thermodynamics of Material Behavior: In Recognition of the 60th Birthday of Roger L. Fosdick by Donald E. Carlson, Yi-Chao Chen

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