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Calculation of the work done by deformation dependent tractions

Kozák, Imre and Szabó, Tamás (2002) Calculation of the work done by deformation dependent tractions. JOURNAL OF COMPUTATIONAL AND APPLIED MECHANICS, 3 (1). pp. 37-49. ISSN 1586-2070

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Abstract

A generalization of the well-known Nanson's formula for solids has been set up for shells. These formulae relate a surface element vector taken either on the base surface or on the side surface in the reference configuration to any surface element vector in the instantaneous configuration. The characteristic quantities can be given by their truncated Taylor expansions with respect to the control parameter. In this way, the work increment done by a deformation dependent traction can always be calculated through integrals taken in the reference configuration, i.e., for shells on the base surface or on the side surface.

Item Type: Article
Uncontrolled Keywords: deformation dependent tractions, surface element vectors, shells, control parameters, truncated Taylor expansions, displacement increment, work increment
Subjects: T Technology / alkalmazott, műszaki tudományok > T2 Technology (General) / műszaki tudományok általában
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 22 Aug 2025 06:36
Last Modified: 22 Aug 2025 06:36
URI: https://real.mtak.hu/id/eprint/222593

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