journal article·2007-10-09

Analysis of Local Thermomechanical Effects in Fiber-Reinforced Periodic Composites

Michael Ryvkin, Jacob Aboudi

International Journal of Fracture· Volume 145· Issue 3
Publisher page

Abstract

Two approaches are combined to investigate the effect of localized thermomechanical loadings of periodic multiphase materials. The first one, referred to as the representative cell method, reduces the infinite domain problem to a problem for the periodicity cell by means of the discrete Fourier transform. This problem is solved by the discretization of the cell into several subcells and a second order expansion of the displacements transform vector in terms of local coordinates. Results for boron/epoxy and glass/epoxy composites subjected to localized mechanical and thermal loadings are presented, and they are compared with analytical solutions for homogeneous materials.
Source: expertdata · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Composite Material Mechanics · Composite Structure Analysis and Optimization · Mechanical Behavior of Composites

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (14)

Show source-provided references
1. Aboudi J., Pindera M-J., Arnold S.M. (1999). Higher-order theory for functionally graded materials. Composites part B: (Engineering) 30: 777-832, 199910.1016/S1359-8368(99)00053-0 ↗
2. Aboudi J., Pindera M-J., Arnold S.M. (2001). Linear thermoelastic higher-order theory for periodic multiphase materials. J. Appl. Mech. 68: 697-70710.1115/1.1381005 ↗
3. Arnold S.M., Bednarcyk B.A., Aboudi J. (2004). Analysis of internally cooled structures using a higher order theory. Computers and Structures 82 659-688, 2004.10.1016/j.compstruc.2003.11.004 ↗
4. Bednarcyk, B.A. and Yarrington, P.W. 2004. Elasto-plastic analysis of tee joints using HOT-SMAC. NASA/CR-2004-213067.
5. Bednarcyk B.A., Zhang J., Collier C.S., Banasl Y., Pindera M-J. (2006). Analysis tools for adhesively bonded composite joints, Part I: higher-order theory. American Institute of Aeronautics and Astronautics J. 44: 171-18010.2514/1.12061 ↗
6. Horgan C.O. (1996). Recent developments concerning Saint-Venant’s principle: a second update. Appl. Mech. Rev. 49: S101-S11110.1115/1.3101961 ↗
7. Kachanov M., Shafiro B., Tsukrov I. (2003). Handbook of Elasticity Solutions. Kluwer, Dordrecht10.1007/978-94-017-0169-3 ↗
8. Kucherov L., Ryvkin, M. (2004). Elastic solutions for periodically layered strip with perfect bonding or with an interface crack. Int. J. Solids Struct. 41: 4551-456510.1016/j.ijsolstr.2004.02.032 ↗
9. Love, A.E.H. 1927. The Mathematical Theory of Elasticity. Cambridge University Press.
10. Moses E., Ryvkin M., Fuchs M.B. (2001). A FE methodology for the static analysis of infinite periodic structures under general loading. Comput. Mech. 27: 369-37710.1007/s004660100249 ↗
11. Nuller, B., Ryvkin, M. 1980. On boundary value problems for elastic domains of a periodic structure deformed by arbitrary loads. Proc. of the State Hydraulic Institute 136, 49-55, Energy, Leningrad.
12. Ryvkin M., Aboudi J. (2007a). The effect of a fiber loss in periodic composites. Int. J. Solids and Struct. 44: 3497-351310.1016/j.ijsolstr.2006.10.003 ↗
13. Ryvkin M., Aboudi J. (2007b). A continuum approach to the analysis of the stress field in a fiber reinforced composite with a transverse crack. Int. J. Solids and Struct. 44: 6826-684110.1016/j.ijsolstr.2007.03.011 ↗
14. Ryvkin M., Nuller B. (1997). Solution of quasi-periodic fracture problems by the representative cell method. Comp. Mech. 20: 145-14910.1007/s004660050231 ↗