This book is centred about the Principle of virtual work and the
related method for mechanical modelling. It aims at showing and
enhancing the polyvalence and versatility of the virtual work
approach in the mechanical modelling process. The virtual work
statement is set as the principle at the root of a force modelling
method that can be implemented on any geometrical description.
After experimentally induced hypotheses have been made on the
geometrical parameters that describe the concerned system and
subsystems, the method provides a unifying framework for building
up consistently associated force models where external and internal
forces are introduced through their virtual rates of work. Systems
described as three-dimensional, curvilinear or planar continua are
considered: force models are established with the corresponding
equations of motion; the validation process points out that
enlarging the domain of relevance of the model for practical
applications calls for an enrichment of the geometrical description
that takes into account the underlying microstructure.
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