• Rajagopal A,  and Scherer M, Sukumar N, Steinmann P (2008) “ Smooth conformal alpha NEM for Gradient elasticity, (To be Communicated)

• Rajagopal A,  and Balachandran G R, M S Sivakumar(2008) “ Numerical Integration of Galerkin weak form in Mesh free methods ,Journal of structural Engineering (Under review)

• Rajagopal A,  and  M S Sivakumar(2008) “ An r-h adaptive strategy for analysis of Laminated Composite plates ,IJCMESM (Accepted for Publication)

• Rajagopal A,  and G R Balachandran, M S Sivakumar(2008) “ Mesh free galerkin method based on Natural neighbours and conformal mapping ,Computational Mechanics (42(6), 885-905 )

• Rajagopal A,  and  M S Sivakumar(2007) “ An r-h adaptive strategy for analysis of Plane Problems with Bimaterial Interfaces ,Computational Mechanics (41(1),49-72)

• Rajagopal A,  and  M S Sivakumar(2006) “ Optimality of finite element grids based on material forces and error assessment" Computer Assisted mechanics and Engineering Sciences, CAMES ,12,1-21,2006.

• Rajagopal A , R. Gangadharan, M. S. Sivakumar (2004) “ An r-h adaptive strategy based Material forces and Error assessment”, J. of Computers Materials and Continua, CMC 1(3), pp. 229-244.

• Rajagopal A, R. Gangadharan , M. S. Sivakumar (2006) “ Performance evaluation of Configurational force and Spring Analogy based Mesh Optimization Schemes” IJCMESM, Int. J. of Computational Engineering Sciences and Mechanics ,Vol 7, 241-262,2006.

• Rajagopal, A., Ravichandran, M., Muralidharan, G. and Sivakumar, S.M.,(2003)“Distributed computation of structural integrity of LMFBR components subjected to thermal striping, "Int. J. Fatigue & Frac. of Eng. Mat. & Struct.,FFEMS 26, 847-858, 2003.

Conferences:

• Rajagopal A, P.Steinmann (2008) “Multiscale Mesh free method” , GAMM Workshop on Multiscale Modeling 2008, 11 - 12 July 2008,Stutgart, Germany.

• Rajagopal A, P.Steinmann (2008) “C1 Natural Element Method” , GAMM 2008, 31 March - April 5 2008,Bremen, Germany.

• Rajagopal A,G R Balachandran, S M Sivakumar (2008) “An efficient mesh less method based on natural neighbours conformal mapping and cubature ” , Structural Engineering Convention, SERC, December 2008, Chennai, India.

• Rajagopal A, R. Gangadharan, M. S. Sivakumar(2004) “Energy based a-posteriori error estimation and adaptive finite element analysis of laminated composite plates” Int. Conference on Computational Methods, ICCM 2004, December 15-17,Singapore.

• Rajagopal A and M S Sivakumar (2005) “ An r-h refinement strategy for analysis of composites “ International Conference on Computational and Experimental Engineering and Sciences, ICCES 2005, IIT Madras, Chennai INDIA.

• Rajagopal A and M S Sivakumar (2006) “ An r-h refinement strategy for analysis of RM Plates “ International Conference on Computational Mechancis, ICCMS 2006, IIT Guwahati, GUWAHATI INDIA.

• Rajagopal A,  N G Muralidher, M S Sivakumar (2006) “ A Damage Assessment Model for Components subjected to thermal stripping", Proceedings of XIV NASAS, VNIT, Nagpur 2006.

• Rajagopal A,  G R Balachandran, M S Sivakumar (2007) “ Adaptive Mesh free methods based on natural neighbours and configurational forces ",Proceedings of Int conference on Mathematical and statitistical methods ICMS , IIT, Madras 7-10 Jan 2007.

   

Ph D. Thesis: MESH ADAPTION TECHNIQUES  FOR PLANE AND PLATE BENDING PROBLEMS

In this work an r-h adaptive strategy has been proposed and Formulated based on VALE  analysis using QUAD4 elements. The r- adaption is based on Material or configurational forces. The h- adaption or enrichment is based on Super convergent patch recovery based estimators. The assessment of conventional r- adaption techniques have been made with the configurational force method and various improvements have been suggested. The combined strategy has been applied to the case of plane problems, bimaterial interfaces, Isotropic plates and Laminated composite plates. An element patch based recovery technique enhanced by strain energy density ratios have been used for h refinement strategy. The combined strategy has been studied as a case to obtain optimal initial and final meshes. A software RH_Adapt has been developed in this study.