Published in Int. Journal for Numerical Methods in Engineering Vol. 69 (7), pp. 1521-1551, 2007
doi: 10.1002/nme.1823

Abstract

This paper extends the capabilities of previous BST and EBST rotation‐free thin shell elements to the analysis of kinked and branching surfaces. The computation of the curvature tensor is first redefined in terms of the angle change between the normals at the adjacent elements. This allows to deal with arbitrary large angles between adjacent elements and to treat kinked surfaces. A relative stiffness between elements is introduced to consider non‐homogeneous surfaces. This idea is latter generalized to deal with branching shells. Several linear and non‐linear examples are presented showing that the formulation leads to the correct results.

S. Oller Aramayo, L. Nallim, S. Oller. An Integrated Procedure for the Structural Design of a Composite Rotor-Hydrofoil of a Water Current Turbine (WCT). Appl Compos Mater 20(6) (2013) DOI 10.1007/s10443-013-9332-9

X. Liu, K. Sze. A corotational interpolatory model for fabric drape simulation. Int. J. Numer. Meth. Engng 77(6) DOI 10.1002/nme.2434

F. Cirak, Q. Long. Subdivision shells with exact boundary control and non-manifold geometry. Int. J. Numer. Meth. Engng. 88(9) (2011) DOI 10.1002/nme.3206

F. Flores, E. Oñate. Un elemento de sólido con una mejora en el comportamiento del corte transversal para el tratamiento de láminas. Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería 27(4) DOI 10.1016/j.rimni.2011.08.005

S. Yamada, K. Ijima, H. Obiya, M. Zakaria. An Orthotropic Membrane Model for the Large Deformation Analysis and Snapping Phenomena of the Dome Inflated. MATEC Web of Conferences 47 (2016) DOI 10.1051/matecconf/20164702016

H. Coda, R. Paccola. Unconstrained Finite Element for Geometrical Nonlinear Dynamics of Shells. Mathematical Problems in Engineering 2009 DOI 10.1155/2009/575131

K. Kabanemi, J. Marcotte. Numerical simulation of suction blow molding process for producing curved ducts. Polym Eng Sci 59(2) (2018) DOI 10.1002/pen.24939

J. Valdés, E. Oñate. Orthotropic rotation-free basic thin shell triangle. Comput Mech 44(3) (2009) DOI 10.1007/s00466-009-0370-y