Contact in structural mechanics : a weighted residual approach / Anh Le van.
By: Le van, Anh [author.]
Language: English Series: Mechanical engineering and solid mechanics series: Publisher: London : Hoboken, NJ : ISTE, Ltd. ; Wiley, 2024Description: 1 online resource (288 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9781786309068 ; 9781394297535; 139429753XSubject(s): Contact mechanics | Structural analysis (Engineering)Genre/Form: Electronic books.DDC classification: 624.1/7 LOC classification: TA353Online resources: Full text is available at Wiley Online Library Click here to view Summary: Contact in Structural Mechanics treats the problem of contact in the context of large deformations and the Coulomb friction law. The proposed formulation is based on a weak form that generalizes the classical principle of virtual powers in the sense that the weak form also encompasses all the contact laws. This formulation is thus a weighted residue method and has the advantage of being amenable to a standard finite element discretization. This book provides the reader with a detailed description of contact kinematics and the variation calculus of kinematic quantities, two essential subjects for any contact study. The numerical resolution is carried out in statics and dynamics. In both cases, the derivation of the contact tangent matrix - an essential ingredient for iterative calculation - is explained in detail. Several numerical examples are presented to illustrate the efficiency of the method.| Item type | Current location | Home library | Call number | Status | Date due | Barcode | Item holds |
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COLLEGE LIBRARY | COLLEGE LIBRARY | 624.17 L575 2024 (Browse shelf) | Available | CL-55252 |
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| 624.17 H516 2008 Basic structural theory / | 624.17 H859 1981 Structural steel design | 624.17 H859 1982 Elementary theory of structures / | 624.17 L575 2024 Contact in structural mechanics : a weighted residual approach / | 624.17 M199 2014 Examples in structural analysis / | 624.17 P4489 2020 Static and dynamic analysis of engineering structures : incorporating the boundary element method / | 624.17 Sch61 2007 eStructures v2.2 : an interactive learning environment, with Multiframe 9.54 to accompany Structures |
Contact in Structural Mechanics treats the problem of contact in the context of large deformations and the Coulomb friction law. The proposed formulation is based on a weak form that generalizes the classical principle of virtual powers in the sense that the weak form also encompasses all the contact laws. This formulation is thus a weighted residue method and has the advantage of being amenable to a standard finite element discretization. This book provides the reader with a detailed description of contact kinematics and the variation calculus of kinematic quantities, two essential subjects for any contact study. The numerical resolution is carried out in statics and dynamics. In both cases, the derivation of the contact tangent matrix - an essential ingredient for iterative calculation - is explained in detail. Several numerical examples are presented to illustrate the efficiency of the method.
About the Author
Anh Le van is Professor of Structural Mechanics in the Faculty of Science and Technology, University of Nantes, France. His research at the Research Institute in Civil and Mechanical Engineering (GeM) focuses on membrane structures and, more specifically, on contact and bifurcation problems in these structures.
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