A novel approach to analyze beam-like composite structures using mechanics of structure genome

Euler-Bernoulli beam element and Timoshenko beam element based on the constitutive modeling using mechanics of structure genome.New beam elements implemented in CALCULIX so that complex slender structures can be accurately analyzed using simple engineering beam models.The software is in the cloud freely accessible by anybody through any device connected to Internet.The present work enables engineers to use efficient 1D beam elements to achieve the accuracy of detailed 3D FEA. A novel approach to the analysis of beam-like composite structure is introduced in this paper. New software Gmsh4SC is developed based on two well-known open source codes Gmsh and CalculiX. One-dimensional Euler-Bernoulli and Timoshenko type finite elements are derived based on the constitutive models obtained by using Mechanics of Structure Genome (MSG). Gmsh4SC is connected to a general-purpose composites software SwiftCompTM, which implements MSG to carry out the constitutive modeling. The software can be executed in the cloud at https://cdmhub.org/tools/scstandard. Several beam-like composite structures are analyzed by this newly developed software. The accuracy and efficiency of the proposed method are verified by three-dimensional (3D) finite element model using the commercial code ABAQUS.

[1]  V. L. Berdichevskii,et al.  On a dual variational principle in geometrically nonlinear elasticity theory , 1979 .

[2]  Wenbin Yu,et al.  A Unified Theory for Constitutive Modeling of Composites , 2016 .

[3]  L. Gallimard,et al.  Composite beam finite element based on the Proper Generalized Decomposition , 2012 .

[4]  Dinar Camotim,et al.  GBT-based structural analysis of elastic–plastic thin-walled members , 2013 .

[5]  Ning Liu,et al.  Loss of Accuracy Using Smeared Properties in Composite Beam Modeling , 2015 .

[6]  Dewey H. Hodges,et al.  Nonlinear Composite Beam Theory , 2006 .

[7]  Erasmo Carrera,et al.  Recent developments on refined theories for beams with applications , 2015 .

[8]  Nitel Muhtaroglu,et al.  Design and implementation of a cloud computing service for finite element analysis , 2013, Adv. Eng. Softw..

[9]  Wenbin Yu,et al.  Three-ways to derive the Euler-Bernoulli-Saint Venant Beam Theory , 2014 .

[10]  Jimmy C. Ho,et al.  Variational asymptotic beam sectional analysis – An updated version , 2012 .

[11]  Fang Jiang,et al.  Nonlinear Variational Asymptotic Sectional Analysis of Hyperelastic Beams , 2016 .

[12]  Christophe Geuzaine,et al.  Gmsh: A 3‐D finite element mesh generator with built‐in pre‐ and post‐processing facilities , 2009 .

[13]  Dinar Camotim,et al.  Physically non-linear GBT analysis of thin-walled members , 2013 .

[14]  Wenbin Yu,et al.  Representative Structural Element - A New Paradigm for Multi-Scale Structural Modeling , 2013 .

[15]  G. Dhondt.  The Finite Element Method for Three-Dimensional Thermomechanical Applications , 2004 .

[16]  Gaetano Giunta,et al.  Beam Structures: Classical and Advanced Theories , 2011 .

[17]  Wenbin Yu,et al.  Variational asymptotic modeling of composite dimensionally reducible structures , 2002 .

[18]  Vinh Phu Nguyen.  An open source program to generate zero-thickness cohesive interface elements , 2014, Adv. Eng. Softw..

[19]  Dinar Camotim,et al.  Global buckling analysis of plane and space thin-walled frames in the context of GBT , 2008 .

[20]  Wenbin Yu,et al.  Structure Genome: Fill the Gap between Materials Genome and Structural Analysis , 2015 .

[21]  V. Berdichevskiĭ.  Variational-asymptotic method of constructing a theory of shells , 1979 .