Non-linear Sectional Analysis of Composite Beams with Finite Deformation and Hyperelastic Materials

2015 ◽  
Author(s):  
Fang Jiang ◽  
Wenbin Yu
Keyword(s):  
Finite Deformation ◽  
Composite Beams ◽  
Hyperelastic Materials ◽  
Non Linear ◽  
Sectional Analysis

A Two-Dimensional Linear Assumed Strain Triangular Element for Finite Deformation Analysis

2005 ◽  
Vol 73 (6) ◽  
pp. 970-976 ◽  
Author(s):  
Fernando G. Flores
Keyword(s):  
Finite Deformation ◽  
Degrees Of Freedom ◽  
Yield Function ◽  
Triangular Element ◽  
Deformation Analysis ◽  
Elastic Model ◽  
Stress Strain ◽  
Metric Tensor ◽  
Assumed Strain ◽  
Non Linear

An assumed strain approach for a linear triangular element able to handle finite deformation problems is presented in this paper. The element is based on a total Lagrangian formulation and its geometry is defined by three nodes with only translational degrees of freedom. The strains are computed from the metric tensor, which is interpolated linearly from the values obtained at the mid-side points of the element. The evaluation of the gradient at each side of the triangle is made resorting to the geometry of the adjacent elements, leading to a four element patch. The approach is then nonconforming, nevertheless the element passes the patch test. To deal with plasticity at finite deformations a logarithmic stress-strain pair is used where an additive decomposition of elastic and plastic strains is adopted. A hyper-elastic model for the elastic linear stress-strain relation and an isotropic quadratic yield function (Mises) for the plastic part are considered. The element has been implemented in two finite element codes: an implicit static/dynamic program for moderately non-linear problems and an explicit dynamic code for problems with strong nonlinearities. Several examples are shown to assess the behavior of the present element in linear plane stress states and non-linear plane strain states as well as in axi-symmetric problems.

scholarly journals Non-Linear Analysis of Composite Beams

2013 ◽  
Vol 3 (1) ◽  
pp. 365-369 ◽  
Author(s):  
V Balakrishna Murthy ◽  
◽  
J Swetha Srinivas ◽  
V Bapi Raju
Keyword(s):  
Linear Analysis ◽  
Composite Beams ◽  
Non Linear

Sectional analysis of engineered cementitious composite beams

2018 ◽  
Vol 70 (22) ◽  
pp. 1135-1148 ◽  
Author(s):  
Benny Suryanto ◽  
Robin Reynaud ◽  
Blair Cockburn
Keyword(s):  
Composite Beams ◽  
Cementitious Composite ◽  
Engineered Cementitious Composite ◽  
Sectional Analysis

Non-linear analysis of composite beams under positive bending

1999 ◽  
Vol 70 (1) ◽  
pp. 77-89 ◽  
Author(s):  
G. Fabbrocino ◽  
G. Manfredi ◽  
E. Cosenza
Keyword(s):  
Linear Analysis ◽  
Composite Beams ◽  
Non Linear
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