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Virtual work approach to mechanical modeling

Author: Jean Salençon
Publisher: London, UK : ISTE, Ltd. ; Hoboken, NJ : Wiley, 2018.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
(OCoLC)1021230795
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jean Salençon
ISBN: 9781119492375 1119492378 9781119510598 1119510597 9781119510635 1119510635
OCLC Number: 1023627778
Description: 1 online resource
Contents: The Emergence of the Principle of Virtual Velocities --
Dualization of Newton's Laws --
Principle and Method of Virtual Work --
Geometrical Modeling of the Three-dimensional Continuum --
Kinematics of the Three-dimensional Continuum --
Classical Force Modeling for the Three-dimensional Continuum --
The Curvilinear One-dimensional Continuum --
Two-dimensional Modeling of Plates and Thin Slabs --
Introduction to Tensor Calculus --
Differential Operators --
Distributors and Wrenches.
Responsibility: Jean Salençon.

Abstract:

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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