Abstract
In this chapter a variational statement of the composite shell mechanics problem is formulated. To calculate an ablation of composite structures of complicated shapes, wherein there occurs a nonuniform stress-strain state, the finite-element method (with triangular six-nodal finite elements) is applied. The developed method allows us to simulate heat-mass-transfer and thermostresses in composite structures and gives computed results for composite plates and cylindrical and axisymmetric shells under different types of the high-temperature action.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Almeida FS, Awruch AM (2009) Design optimization of composite laminated structures using genetic algorithms and finite element analysis. Compos Struct 88(3):443–454
Alnefaie K (2009) Finite element modeling of composite plates with internal delamination. Compos Struct 90(1):21–27
Bhar A, Phoenix SS, Satsangi SK (2010) Finite element analysis of laminated composite stiffened plates using FSDT and HSDT: a comparative perspective. Compos Struct 92(2):312–321
Bhattacharya P, Suhail H, Sinha PK (2002) Finite element analysis and distributed control of laminated composite shells using LQR/IMSC approach. Aerosp Sci Technol 6:273–281
Carrera E (2002) Theories and finite elements for multilayered, anisotropic, composite plates and shells. J Arch Comput Meth Eng 9(2):87–140
Castellazzi G, Krysl P, Bartoli I (2013) A displacement-based finite element formulation for the analysis of laminated composite plates. Compos Struct 95:518–527
Chaudhuri RA (2008) A nonlinear zigzag theory for finite element analysis of highly shear-deformable laminated anisotropic shells. Compos Struct 85(4):350–359
Correiaa IFP, Barbosa JI, Soares CMM, Soares CAM (2000) A finite element semi-analytical model for laminated axisymmetric shells: statics, dynamics and buckling. Comput Struct 76(1–3):299–317
Dimitrienko YuI, Efremov GA, Chernyavsky SA (1997) Optimum design of erosion-stable heat-shield composite materials. Appl Compos Mater 4:35–52
Dimitrienko YuI, Minin VV, Syzdykov EK (2011) Modeling of thermomechanical processes in composite shells in local radiation heating. Compos: Mech, Comput, Appl 2(2):147–169
Dimitrienko YuI, Sokolov AP (2010) Elastic properties of composite materials. Mathematical models and computer simulations, vol 2(1). Springer, pp 116–130
Fagiano C, Abdalla MM, Gurdal Z (2010) Interlaminar stress recovery of multilayer composite shell structures for three-dimensional finite elements. Finite Elem Anal Des 46(12):1122–1130
Ferreira AJM, Sa JMAC, Marques AT (2003) Nonlinear finite element analysis of rubber composite shells. Strength Mater 35(3):225–235
Guo X, Lee YY, Mei C (2006) Non-linear random response of laminated composite shallow shells using finite element modal method. Int J Numer Meth Eng 67(10):1467–1489
Haj-Ali R, Choi J, Wei B-S, Popil R, Schaepe M (2009) Refined nonlinear finite element models for corrugated fiberboards. Compos Struct 87(4):321–333
Hossain SJ, Sinha PK, Sheikh AH (2004) A finite element formulation for the analysis of laminated composite shells. Comput Struct 82(20–21):1623–1638
Khalili SMR, Soroush M, Davar A, Rahmani O (2011) Finite element modeling of low-velocity impact on laminated composite plates and cylindrical shells. Compos Struct 93(5):1363–1375
Kundu CK, Maiti DK, Sinha PK (2007) Nonlinear finite element analysis of laminated composite doubly curved shells in hygrothermal environment. J Reinf Plast Compos 26(14):1461–1478
Latifa SK, Sinha PK (2005) Improved finite element analysis of multilayered, doubly curved composite shells. J Reinf Plast Compos 24(4):385–404
Linde P, Schulz A, Rust W (2006) Influence of modeling and solution methods on the FE-simulation of the post-buckling behavior of stiffened aircraft fuselage panels. Compos Struct 73(2):229–236
Liu PF, Zheng JY (2010) Recent developments on damage modeling and finite element analysis for composite laminates: a review. Mater Des 31(8):3825–3834
Naidu NVS, Sinha PK (2005) Nonlinear finite element analysis of laminated composite shells in hygrothermal environments. Compos Struct 69(4):387–395
Nagashima T, Suemasu H (2010) X-FEM analyses of a thin-walled composite shell structure with a delamination. Comput Struct 88(9–10):549–557
Niezgoda T, Derewonko A (2009) Multiscale composite FEM modeling. Procedia Eng 1(1):209–212
Rahman T, Jansen EL (2010) Finite element based coupled mode initial post-buckling analysis of a composite cylindrical shell. Thin-Walled Struct 48(1):25–32
Sabik A, Kreja I (2013) Large thermo-elastic displacement and stability FEM analysis of multilayered plates and shells. Thin-Walled Struct 71:119–133
Sabri F, Lakis AA (2010) Finite element method applied to supersonic flutter of circular cylindrical shells. AIAA J 48(1):73–81
Sadowski AJ, Rotter JM (2013) Solid or shell finite elements to model thick cylindrical tubes and shells under global bending. Int J Mech Sci 74:143–153
Santos H, Soares CMM, Soares CAM, Reddy JN (2006) A finite element model for the analysis of 3D axisymmetric laminated shells with piezoelectric sensors and actuators. Compos Struct 75(1–4):170–178
Santos H, Soares CMM, Soares CAM, Reddy JN (2008) A finite element model for the analysis of 3D axisymmetric laminated shells with piezoelectric sensors and actuators: bending and free vibrations. Comput Struct 86(9):940–947
Schuster J, Heider D, Sharp K, Glowania M (2009) Measuring and modeling the thermal conductivities of three-dimensionally woven fabric composites. Mech Compos Mater 45(2):165–174
Sheng HY, Ye JQ (2003) A three-dimensional state space finite element solution for laminated composite cylindrical shells. Comput Methods Appl Mech Eng 192(22–24):2441–2459
Timoshenko S, Woinowsky-Krieger S (1959) Theory of plates and shells. McGraw-Hill, New York
Wagner W, Balzani C (2008) Simulation of delamination in stringer stiffened fiber-reinforced composite shells. Comput Struct 86(9):930–939
Wang BL, Mai YW (2005) Transient one-dimensional heat conduction problems solved by finite element. Int J Mech Sci 47(2):303–317
Yeghnem R, Meftah SA, Benyoucef S, Tounsi A, Adda Bedia EA (2013) A finite-element model for the lateral stiffness and vibration characteristics of RC shear walls strengthened with composite sheets: creep and the shrinkage effect. Mech Compos Mater 49(2):181–192
Zallo A, Gaudenzi P (2003) Finite element models for laminated shells with actuation capability. Comput Struct 81(8–11):1059–1069
Zhang YX, Yang CH (2009) Recent developments in finite element analysis for laminated composite plates. Compos Struct 88(1):147–157
Zhang YX, Yang CH (2006) A family of simple and robust finite elements for linear and geometrically nonlinear analysis of laminated composite plates. Compos Struct 75(1–4):545–552
Zhang YX, Zhang HS (2010) Multiscale finite element modeling of failure process of composite laminates. Compos Struct 92(9):2159–2165
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2016 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Dimitrienko, Y.I. (2016). Finite-Element Method for Modeling of Thermomechanical Phenomena in Composite Shells Under High Temperatures. In: Thermomechanics of Composite Structures under High Temperatures. Solid Mechanics and Its Applications, vol 224. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-7494-9_13
Download citation
DOI: https://doi.org/10.1007/978-94-017-7494-9_13
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-017-7492-5
Online ISBN: 978-94-017-7494-9
eBook Packages: EngineeringEngineering (R0)