Computational Technology Resources - CCP

D. Chapelle* and K.-J. Bathe+

*INRIA, Rocquencourt, France
+Massachusetts Institute of Technology, Cambridge, United States of America

doi:10.4203/ccp.54.1.3

D. Chapelle, K.-J. Bathe, "On General Shell Finite Elements and Mathematical Shell Models", in B.H.V. Topping, (Editor), "Advances in Finite Element Procedures and Techniques", Civil-Comp Press, Edinburgh, UK, pp 25-30, 1998. doi:10.4203/ccp.54.1.3

Abstract

We show that, although no actual mathematical shell model is explicitly used in "general shell element" formulations, we can identify an implicit shell model underlying these finite element procedures. This "underlying model" compares well with classical shell models since it displays the same asymptotic behaviours - when the thickness of the shell becomes very small - as, for example, the Naghdi model. Moreover, we substantiate the connection between general shell element procedures and this underlying model by mathematically proving a convergence result from the finite element solution to the solution of the model.

purchase the full-text of this paper (price £20)

go to the previous paper
go to the next paper
return to the table of contents
return to the book description
purchase this book (price £75 +P&P)

	Computational & Technology Resources an online resource for computational, engineering & technology publications
	not logged in - login
Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 54 ADVANCES IN FINITE ELEMENT PROCEDURES AND TECHNIQUES Edited by: B.H.V. Topping Paper I.3 On General Shell Finite Elements and Mathematical Shell Models D. Chapelle* and K.-J. Bathe+ *INRIA, Rocquencourt, France +Massachusetts Institute of Technology, Cambridge, United States of America doi:10.4203/ccp.54.1.3 purchase the full-text of this paper Full Bibliographic Reference for this paper D. Chapelle, K.-J. Bathe, "On General Shell Finite Elements and Mathematical Shell Models", in B.H.V. Topping, (Editor), "Advances in Finite Element Procedures and Techniques", Civil-Comp Press, Edinburgh, UK, pp 25-30, 1998. doi:10.4203/ccp.54.1.3 Abstract We show that, although no actual mathematical shell model is explicitly used in "general shell element" formulations, we can identify an implicit shell model underlying these finite element procedures. This "underlying model" compares well with classical shell models since it displays the same asymptotic behaviours - when the thickness of the shell becomes very small - as, for example, the Naghdi model. Moreover, we substantiate the connection between general shell element procedures and this underlying model by mathematically proving a convergence result from the finite element solution to the solution of the model. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £75 +P&P)
Back to top	©Civil-Comp Limited 2023 - terms & conditions