26
2 Literature Review
59. J.N. Reddy, On refined computational models of composite laminates. Int. J. Numer. Methods
Eng. 27, 361–382 (1989)
60. J.N. Reddy, A general non-linear third-order theory of plates with moderate thickness. Int. J.
Non-Linear Mech. 25, 677–686 (1990)
61. M.E. Fares, M.Kh. Elmarghany, A refined zigzag nonlinear first-order shear deformation
theory of composite laminated plates. Compos. Struct. 82, 71–83 (2008)
62. L. Librescu, R. Schmidt, Refined theories of elastic anisotropic shells accounting for small
strains and moderate rotations. Int. J. Non-Linear Mech. 23, 217–229 (1988)
63. R. Schmidt, J.N. Reddy, A refined small strain and moderate rotation theory of elastic
anisotropic shells. J. Appl. Mech. 55, 611–617 (1988)
64. R. Schmidt, D. Weichert, A refined theory of elastic-plastic shells at moderate rotations.
ZAMM · Z. Angew. Math. Mech. 69, 11–21 (1989)
65. A.F. Palmerio, J.N. Reddy, R. Schmidt, On a moderate rotation theory of laminated anisotropic
shells - part 1: theory. Int. J. Non-Linear Mech. 25, 687–700 (1990)
66. A.F. Palmerio, J.N. Reddy, R. Schmidt, On a moderate rotation theory of laminated anisotropic
shells - part 2: finite element analysis. Int. J. Non-Linear Mech. 25, 701–714 (1990)
67. I. Kreja, R. Schmidt, J.N. Reddy, Finite elements based on a first-order shear deformation
moderate rotation shell theory with applications to the analysis of composite structures. Int.
J. Non-Linear Mech. 32, 1123–1142 (1996)
68. L.M. Habip, Theory of elastic shells in the reference state. Ingenieur-Archiv 34, 228–237
(1965)
69. L.M. Habip, I.K. Ebcioglu, On the equations of motion of shells in the reference state.
Ingenieur-Archiv 34, 28–32 (1965)
70. L. Librescu, Elastostatics and Kinetics of Anisotropic and Heterogeneous Shell-Type Structures (Noordhoff International, Leyden, 1975)
71. F. Gruttmann, E. Stein, P. Wriggers, Theory and numerics of thin elastic shells with finite
rotations. Ingenieur-Archiv 59, 54–67 (1989)
72. Y. Basar, Y. Ding, Finite-rotation shell elements for the analysis of finite-rotation shell problems. Int. J. Numer. Methods Eng. 34, 165–169 (1992)
73. Y. Basar, Y. Ding, W.B. Krätzig, Finite-rotation shell elements via mixed formulation. Comput.
Mech. 10, 289–306 (1992)
74. C. Sansour, H. Bufler, An exact finite rotation shell theory, its mixed variational formulation
and its finite element implementation. Int. J. Numer. Methods Eng. 34, 73–115 (1992)
75. P. Wriggers, F. Gruttmann, Thin shells with finite rotations formulated in biot stresses: theory
and finite element formulation. Int. J. Numer. Methods Eng. 36, 2049–2071 (1993)
76. C. Sansour, H. Bednarczyk, The cosserat surface as a shell model, theory and finite-element
formulation. Comput. Methods Appl. Mech. Eng. 120, 1–32 (1995)
77. B. Brank, D. Peri´ c, B. Damjani´ c, On implementation of a nonlinear four node shell finite
element for thin multilayered elastic shells. Comput. Mech. 16, 341–359 (1995)
78. M. Bischoff, E. Ramm, Shear deformable shell elements for large strains and rotations. Int.
J. Numer. Methods Eng. 40, 4427–4449 (1997)
79. I. Kreja, R. Schmidt, Large rotations in first-order shear deformation FE analysis of laminated
shells. Int. J. Non-Linear Mech. 41, 101–123 (2006)
80. S. Lentzen, Nonlinear coupled thermopiezoelectric modelling and FE-simulation of smart
structures. Ph.D. Thesis, RWTH Aachen University, in: Fortschritt-Berichte VDI, Reihe 20,
Nr. 419, VDI Verlag, Düsseldorf (2009)
81. V.V. Kuznetsov, S.V. Levyakov, Geometrically nonlinear shell finite element based on the
geometry of a planar curve. Finite Elem. Anal. Des. 44, 450–461 (2008)
82. C.M. Saravia, S.P. Machado, V.H. Cortinez, A geometrically exact nonlinear finite element
for composite closed section thin-walled beams. Comput. Struct. 89, 2337–2351 (2011)
83. D.A. Miller, A.N. Palazotto, Nonlinear finite element analysis of composite beams and arches
using a large rotation theory. Finite Elem. Anal. Des. 19, 131–152 (1995)
84. Y. Basar, Y. Ding, R. Schultz, Refined shear-deformation models for composite laminates
with finite rotations. Int. J. Solids Struct. 30, 2611–2638 (1993)
2 Literature Review
59. J.N. Reddy, On refined computational models of composite laminates. Int. J. Numer. Methods
Eng. 27, 361–382 (1989)
60. J.N. Reddy, A general non-linear third-order theory of plates with moderate thickness. Int. J.
Non-Linear Mech. 25, 677–686 (1990)
61. M.E. Fares, M.Kh. Elmarghany, A refined zigzag nonlinear first-order shear deformation
theory of composite laminated plates. Compos. Struct. 82, 71–83 (2008)
62. L. Librescu, R. Schmidt, Refined theories of elastic anisotropic shells accounting for small
strains and moderate rotations. Int. J. Non-Linear Mech. 23, 217–229 (1988)
63. R. Schmidt, J.N. Reddy, A refined small strain and moderate rotation theory of elastic
anisotropic shells. J. Appl. Mech. 55, 611–617 (1988)
64. R. Schmidt, D. Weichert, A refined theory of elastic-plastic shells at moderate rotations.
ZAMM · Z. Angew. Math. Mech. 69, 11–21 (1989)
65. A.F. Palmerio, J.N. Reddy, R. Schmidt, On a moderate rotation theory of laminated anisotropic
shells - part 1: theory. Int. J. Non-Linear Mech. 25, 687–700 (1990)
66. A.F. Palmerio, J.N. Reddy, R. Schmidt, On a moderate rotation theory of laminated anisotropic
shells - part 2: finite element analysis. Int. J. Non-Linear Mech. 25, 701–714 (1990)
67. I. Kreja, R. Schmidt, J.N. Reddy, Finite elements based on a first-order shear deformation
moderate rotation shell theory with applications to the analysis of composite structures. Int.
J. Non-Linear Mech. 32, 1123–1142 (1996)
68. L.M. Habip, Theory of elastic shells in the reference state. Ingenieur-Archiv 34, 228–237
(1965)
69. L.M. Habip, I.K. Ebcioglu, On the equations of motion of shells in the reference state.
Ingenieur-Archiv 34, 28–32 (1965)
70. L. Librescu, Elastostatics and Kinetics of Anisotropic and Heterogeneous Shell-Type Structures (Noordhoff International, Leyden, 1975)
71. F. Gruttmann, E. Stein, P. Wriggers, Theory and numerics of thin elastic shells with finite
rotations. Ingenieur-Archiv 59, 54–67 (1989)
72. Y. Basar, Y. Ding, Finite-rotation shell elements for the analysis of finite-rotation shell problems. Int. J. Numer. Methods Eng. 34, 165–169 (1992)
73. Y. Basar, Y. Ding, W.B. Krätzig, Finite-rotation shell elements via mixed formulation. Comput.
Mech. 10, 289–306 (1992)
74. C. Sansour, H. Bufler, An exact finite rotation shell theory, its mixed variational formulation
and its finite element implementation. Int. J. Numer. Methods Eng. 34, 73–115 (1992)
75. P. Wriggers, F. Gruttmann, Thin shells with finite rotations formulated in biot stresses: theory
and finite element formulation. Int. J. Numer. Methods Eng. 36, 2049–2071 (1993)
76. C. Sansour, H. Bednarczyk, The cosserat surface as a shell model, theory and finite-element
formulation. Comput. Methods Appl. Mech. Eng. 120, 1–32 (1995)
77. B. Brank, D. Peri´ c, B. Damjani´ c, On implementation of a nonlinear four node shell finite
element for thin multilayered elastic shells. Comput. Mech. 16, 341–359 (1995)
78. M. Bischoff, E. Ramm, Shear deformable shell elements for large strains and rotations. Int.
J. Numer. Methods Eng. 40, 4427–4449 (1997)
79. I. Kreja, R. Schmidt, Large rotations in first-order shear deformation FE analysis of laminated
shells. Int. J. Non-Linear Mech. 41, 101–123 (2006)
80. S. Lentzen, Nonlinear coupled thermopiezoelectric modelling and FE-simulation of smart
structures. Ph.D. Thesis, RWTH Aachen University, in: Fortschritt-Berichte VDI, Reihe 20,
Nr. 419, VDI Verlag, Düsseldorf (2009)
81. V.V. Kuznetsov, S.V. Levyakov, Geometrically nonlinear shell finite element based on the
geometry of a planar curve. Finite Elem. Anal. Des. 44, 450–461 (2008)
82. C.M. Saravia, S.P. Machado, V.H. Cortinez, A geometrically exact nonlinear finite element
for composite closed section thin-walled beams. Comput. Struct. 89, 2337–2351 (2011)
83. D.A. Miller, A.N. Palazotto, Nonlinear finite element analysis of composite beams and arches
using a large rotation theory. Finite Elem. Anal. Des. 19, 131–152 (1995)
84. Y. Basar, Y. Ding, R. Schultz, Refined shear-deformation models for composite laminates
with finite rotations. Int. J. Solids Struct. 30, 2611–2638 (1993)