[1] ATTARD, M. M. and HUNT, G. W. Hyperelastic constitutive modeling under finite strain. International Journal of Solids and Structures, 41, 5327-5350(2004)
[2] SUMELKA, W. and VOYIADJIS, G. Z. A Hyperelastic fractional damage material model with memory. International Journal of Solids and Structures, 124, 151-160(2017)
[3] BRESLAVSKY, I. D., AMABILI, M., and LEGRAND, M. Nonlinear vibrations of thin hyperelastic plates. Journal of Sound and Vibration, 333, 4668-4681(2014)
[4] BRESLAVSKY, I. D., AMABILI, M., and LEGRAND, M. Physically and geometrically non-linear vibrations of thin rectangular plates. International Journal of Non-Linear Mechanics, 58, 30-40(2014)
[5] BARFOROOSHI, S. D., MOHAMMADI, A. K., and GHAFFARI, I. Influence of different parameters on nonlinear frequency of hyper-elastic micro-resonators. ISME Conference, 26-28(2016)
[6] JIANG, F. and YU, W. Nonlinear variational asymptotic sectional analysis of hyperelastic beams. AIAA Journal, 54, 1-12(2016)
[7] KANNER, L. M. and HORGAN, C. O. Plane strain bending of strain-stiffening rubber-like rectangular beams. International Journal of Solids and Structures, 45, 1713-1729(2008)
[8] BASAR, Y. and DING, Y. Finite-element analysis of hyperelastic thin shells with large strains. Computational Mechanics, 18, 200-214(1996)
[9] AKYUZ, U. and ERTEPINAR, A. Stability and asymmetric vibrations of pressurized compressible hyperelastic cylindrical shells. International Journal of Non-Linear Mechanics, 34, 391-404(1999)
[10] BASAR, Y., HANSKOTTER, U., and SCHWAB, C. A general high-order finite element formulation for shells at large strains and finite rotations. International Journal for Numerical Methods in Engineering, 57, 2147-2175(2003)
[11] REN, J. S. Dynamical response of hyper-elastic cylindrical shells under periodic load. Applied Mathematics and Mechanics (English Edition), 29(10), 1319-1327(2008) https://doi.org/10.1007/s10483-008-1007-x
[12] SOARES, R. M. and GONCALVES, P. B. Nonlinear vibrations and instabilities of a stretched hyperelastic annular membrane. International Journal of Solids and Structures, 49, 514-526(2012)
[13] SOARES, R. M. and GONCALVES, P. B. Nonlinear vibrations of a rectangular hyperelastic membrane resting on a nonlinear elastic foundation. Meccanica, 53, 937-955(2018)
[14] KIENDL, J., HSU, M. C., WU, M. C. H., and REALI, A. Isogeometric Kirchhoff-Love shell formulations for general hyperelastic materials. Computer Methods in Applied Mechanics and Engineering, 291, 280-303(2015)
[15] AHMAD, S., IRONS, B. M., and ZIENKIEWICZ, O. Analysis of thick and thin shell structures by curved finite elements. International Journal for Numerical Methods in Engineering, 2, 419-451(1970)
[16] SIMO, J. C. and FOX, D. D. On a stress resultant geometrically exact shell model, part I:formulation and optimal parametrization. Computer Methods in Applied Mechanics and Engineering, 72, 267-304(1989)
[17] BAŞAR, Y. and DING, Y. Finite-rotation shell elements for the analysis of finite-rotation shell problems. International Journal for Numerical Methods in Engineering, 34, 165-169(1992)
[18] SANSOUR, C. A theory and finite element formulation of shells at finite deformations involving thickness change:circumventing the use of a rotation tensor. Archive of Applied Mechanics, 65, 194-216(1995)
[19] SABIR, A. and LOCK, A. The applications of finite elements to large deflection geometrically nonlinear behaviour of cylindrical shells:variational methods in engineering. Proceedings on an International Conference Held at the University of Southampton (eds. BREBBIA, C. A. and TOTTENHAM, H.), Southampton University Press, Southampton (1972)
[20] EBERLEIN, R. and WRIGGERS, P. Finite element concepts for finite elastoplastic strains and isotropic stress response in shells:theoretical and computational analysis. Computer Methods in Applied Mechanics and Engineering, 171, 243-279(1999)
[21] SANSOUR, C. and KOLLMANN, F. G. Families of 4-node and 9-node finite elements for a finite deformation shell theory, an assesment of hybrid stress, hybrid strain and enhanced strain elements. Computational Mechanics, 24, 435-447(2000)
[22] SZE, K., LIU, X., and LO, S. Popular benchmark problems for geometric nonlinear analysis of shells. Finite Elements in Analysis and Design, 40, 1551-1569(2004)
[23] BRAUN, M., BISCHOFF, M., and RAMM, E. Nonlinear shell formulations for complete threedimensional constitutive laws including composites and laminates. Computational Mechanics, 15, 1-18(1994)
[24] BISCHOFF, M. and RAMM, E. On the physical significance of higher order kinematic and static variables in a three-dimensional shell formulation. International Journal of Solids and Structures, 37, 6933-6960(2000)
[25] FAGHIH-SHOJAEI, M. and ANSARI, R. Variational differential quadrature:a technique to simplify numerical analysis of structures. Applied Mathematical Modelling, 49, 705-738(2017)
[26] HASRATI, E., ANSARI, R., and ROUHI, H. A numerical approach to the elastic/plastic axisymmetric buckling analysis of circular and annular plates resting on elastic foundation. Proceedings of the Institution of Mechanical Engineers, Part C:Journal of Mechanical Engineering Science, 233, 7041-7061(2019)
[27] HASRATI, E., ANSARI, R., and ROUHI, H. Elastoplastic postbuckling analysis of moderately thick rectangular plates using the variational differential quadrature method. Aerospace Science and Technology, 91, 479-493(2019)
[28] GHOLAMI, Y., SHAHABODINI, A., ANSARI, R., and ROUHI, H. Nonlinear vibration analysis of graphene sheets resting on Winkler-Pasternak elastic foundation using an atomistic-continuum multiscale model. Acta Mechanica, 230, 4157-4174(2019)
[29] ANSARI, R., HASSANI, R., GHOLAMI, R., and ROUHI, H. Buckling and postbuckling of plates made of FG-GPL-reinforced porous nanocomposite with various shapes and boundary conditions. International Journal of Structural Stability and Dynamics, 21, 2150063(2021)
[30] HASRATI, E., ANSARI, R., and ROUHI, H. Nonlinear free vibration analysis of shell-type structures by the variational differential quadrature method in the context of six-parameter shell theory. International Journal of Mechanical Sciences, 151, 33-45(2019)
[31] ANSARI, R., HASRATI, E., SHAKOURI, A. H., BAZDID-VAHDATI, M., and ROUHI, H. Nonlinear large deformation analysis of shells using the variational differential quadrature method based on the six-parameter shell theory. International Journal of Non-Linear Mechanics, 106, 130-143(2018)
[32] HASSANI, R., ANSARI, R., and ROUHI, H. Large deformation analysis of 2D hyperelastic bodies based on the compressible nonlinear elasticity:a numerical variational method. International Journal of Non-Linear Mechanics, 116, 39-54(2019)
[33] HASSANI, R., ANSARI, R., and ROUHI, H. A VDQ-based multifield approach to the 2D compressible nonlinear elasticity. International Journal for Numerical Methods in Engineering, 118, 345-370(2019)
[34] HASSANI, R., ANSARI, R., and ROUHI, H. An efficient numerical approach to the micromorphic hyperelasticity. Continuum Mechanics and Thermodynamics, 32, 1011-1036(2020)
[35] ANSARI, R., HASSANI, R., FARAJI-OSKOUIE, M., and ROUHI, H. Large deformation analysis in the context of 3D compressible nonlinear elasticity using the VDQ method. Engineering with Computers, 37, 3251-3263(2021)
[36] ANSARI, R., HASSANI, R., FARAJI OSKOUIE, M., and ROUHI, H. Nonlinear bending analysis of hyperelastic Mindlin plates:a numerical approach. Acta Mechanica, 232, 741-760(2021)
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