Abstract
A structure loaded by external forces, like surface tractions and body forces, is considered to be in a state of equilibrium. The free-body diagram for such a set of conditions is given in Fig. 5.1. Necessarily, the resulting density of the force in every material point must vanish, f = 0. A material point with position vector r is given a virtual displacement δr where |δr| « l char (characteristic length of the body), and the (elementary) virtual work per unit of volume vanishes consequently
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Bibliography
Langhaar, H. L., Energy Methods in Applied Mechanics. Wiley, New York, 1962
Washizu, K., Variational Methods in Elasticity and Plasticity. Pergamon Press, Oxford, 1974
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© 1991 Springer-Verlag New York, Inc.
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Ziegler, F. (1991). Principle of Virtual Work. In: Mechanics of Solids and Fluids. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0512-5_5
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DOI: https://doi.org/10.1007/978-1-4684-0512-5_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-97544-3
Online ISBN: 978-1-4684-0512-5
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