Isogeometric-Based Modeling and Analysis of Laminated Composite Plates Under Transverse Loading
Subject Areas : Engineering
1 - Faculty of Engineering, University of Sistan and Baluchestan, Zahedan
2 - Faculty of Engineering, University of Sistan and Baluchestan, Zahedan
Keywords: Genetic Algorithm, Isogeometric analysis, Nun-Uniform rational B-Splines, Composite plates,
Abstract :
Analysis of the laminated composite plates under transverse loading is considered using the new method of Isogeometric Analysis (IGA). Non-Uniform Rational B-Splines(NURBS)are used as shape functions for modeling the geometry of the structure and also are used as shape functions in the analysis process. To show robustness of the new technique, some examples are represented and are compared with the theoretical method at the end. The obtained results show the efficiency of the method.
[1] Hughes T. J. R., Cottrell J. A., Bazilevs Y., 2005, Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement, Computer Methods in Applied Mechanics and Engineering 194:4135-4195.
[2] Bazilevs Y., Calo V. M., Hughes T. J. R., Zhang Y., 2008, Isogeometric fluid structure interaction: theory, algorithms, and computations, Computational Mechanics 43:3-37.
[3] Buffa A., De Falco C., Sangalli G., 2010, Isogeometric analysis: new stable elements for the stokes equation, International Journal for Numerical Methods in Fluids, DOI: 10.1002/fld.2337.
[4] Auricchio F., Beir˜ao da Veiga L., Lovadina C., Reali A., 2010, The importance of the exact satisfaction of the incompressibility constraint in nonlinear elasticity: mixed FEMs versus NURBS-based approximations, Computer Methods in Applied Mechanics and Engineering 199: 314-323.
[5] Auricchio F., Beir˜ao da Veiga L., Buffa A., Lovadina C., Reali A., Sangalli G., 2007, A fully locking-free isogeometric approach for plane linear elasticity problems: a stream function formulation, Computer Methods in Applied Mechanics and Engineering 197:160-172.
[6] Benson D. J., Bazilevs Y., Hsu M. C., Hughes T. J. R., 2010, Isogeometric shell analysis: the reissner-mindlin shell, Computer Methods in Applied Mechanics and Engineering 199:276-289.
[7] Lipton S., Evans J. A., Bazilevs Y., Elguedj T., Hughes T. J. R., 2010, Robustness of isogeometric structural discretizations under severe mesh distortion, Computer Methods in Applied Mechanics and Engineering 199: 353-373.
[8] Buffa A., Sangalli G., V´azquez R., 2010, Isogeometric analysis in electromagnetic: B-splines approximation, Computer Methods in Applied Mechanics and Engineering 199:1143-1152.
[9] Buffa A., Rivas J., Sangalli G., V´azquez R., 2011, Isogeometric discrete differential forms in three dimensions , SIAM Journal on Numerical Analysis 49 (2):818-844.
[10] Cottrell J. A., Hughes T. J. R., Bazilevs Y., 2009, Isogeometric Analysis. Towards Integration of CAD and FEA, Wiley.
[11] Piegl L., Tiller W., 1997, The NURBS Book, Springer-Verlag.
[12] Rogers D.F., 2001, An Introduction to NURBS With Historical Perspective, Academic Press.
[13] Agrawal B.D., Broutman L.J., 1985, Analysis and Performance of Fiber Composite.
[14] Liu G.R., 2002, Meshfree Methods: Moving Beyond the Finite Element Method, CRC Press.
[15] Gregory W.J., Liu W., 2000, Application of essential boundary condition in mesh-free methods, a corrected collocation method, International Journal for Numerical Methods in Engineering 47(8):1367-1379.
[16] Cheng-Kong C.W., Michael E.P., 2002, Essential boundary condition enforcement in meshless methods: boundary collocation method , International Journal for Numerical Methods in Engineering 53:499-514.