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Theoretical development and numerical verification of a geometrically non‐linear, 3‐D based finite element for composite materials
Author(s) -
Anandan Vailore,
Bauld Nelson R.
Publication year - 1992
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620330603
Subject(s) - finite element method , computation , continuation , development (topology) , element (criminal law) , mathematics , shell (structure) , newton's method , scheme (mathematics) , algorithm , mathematical analysis , computer science , structural engineering , engineering , nonlinear system , mechanical engineering , physics , quantum mechanics , law , political science , programming language
A geometrically non‐linear thin shell element made from classical laminated materials is developed from three dimensional continuum concepts that admits arbitrarily large displacements and rotations. The development shows how explicit integration through the thickness of the element can be accomplished without sacrificing significant accuracy of the element. Computations obtained via the present formulation are compared with four test problems for which numerical data are available. All computations were carried out using the Crisfield–Riks arc length continuation algorithm with a full Newton–Raphson iterative scheme. Excellent agreement is observed for each test problem.