Advanced search
Publication Cover
Inverse Problems in Science and Engineering Volume 21, 2013 - Issue 2
Submit an article Journal homepage
257
Views
10
CrossRef citations to date
0
Altmetric
Original Articles

Inverse geometry heat conduction analysis of functionally graded materials using smoothed fixed grid finite elements

Mohammad Javad Kazemzadeh-ParsiMechanical Engineering Department, Shiraz Branch, Islamic Azad University, Shiraz, Iran
&
Farhang DaneshmandMechanical Engineering Department, School of Engineering, Shiraz University, Shiraz 71348-51154, Iran;Department of Bioresource Engineering, McGill University, 21111 Lakeshore Road, Ste. Anne de Bellevue, QC, H9X 3V9, Canada
Pages 235-250 | Received 25 Jun 2011, Accepted 17 Apr 2012, Published online: 16 May 2012

References

  • Tikhnov, AN, and Arsenin, VY, 1977. Solution of Ill-posed Problems. Washington, DC: V.H. Winston; 1977.
  • Su, CR, and Chen, CK, 2007. Geometry estimation of the furnace inner wall by an inverse approach, Int. J. Heat Mass Transfer 50 (2007), pp. 3767–3773.
  • Birman, V, and Byrd, LW, 2007. Modeling and analysis of functionally graded materials and structures, Appl. Mech. Rev. 160 (2007), pp. 195–216.
  • Huang, CH, and Shih, CC, 2006. A shape identification problem in estimating simultaneously two interfacial configurations in a multiple region domain, Appl. Therm. Eng. 26 (2006), pp. 77–88.
  • Mera, NS, Elliot, L, and Ingham, DB, 2004. Numerical solution of a boundary detection problem using genetic algorithms, Eng. Anal. Boundary Elem. 28 (2004), pp. 405–411.
  • Minutolo, V, Ruocco, E, and Ciaramella, S, 2009. Isoparametric FEM vs. BEM for elastic functionally graded materials, Comput. Model. Eng. Sci. 41 (2009), pp. 27–48.
  • Lee, HS, Kim, YH, Park, CJ, and Park, HW, 1999. A new spatial regularization scheme for the identification of the geometric shape of an inclusion in a finite body, Int. J. Numer. Methods Eng. 46 (1999), pp. 973–992.
  • Garcia, MJ, and Steven, GP, 1999. Fixed grid finite elements in elasticity problems, Eng. Comput. 16 (1999), pp. 145–164.
  • Daneshmand, F, and Kazemzadeh-Parsi, MJ, 2009. Static and dynamic analysis of 2D and 3D elastic solids using the modified FGFEM, Finite Elem. Anal. Des. 45 (2009), pp. 755–765.
  • Bendsoe, MP, and Kikuchi, N, 1988. Generating optimal topologies in structural design using a homogenization method, Comput. Meth. Appl. Mech. Eng. 71 (1988), pp. 197–224.
  • Liu, GR, Dai, KY, and Nguyen, TT, 2007. A smoothed finite element for mechanics problems, Comput. Mech. 39 (2007), pp. 859–877.
  • Strouboulis, T, Copps, K, and Babuška, I, 2001. The generalized finite element method, Comput. Meth. Appl. Mech. Eng. 190 (2001), pp. 4081–4193.
  • Sukumar, N, Chopp, DL, Moes, N, and Bclytsohko, T, 2001. Modeling holes and inclusions by level sets in the extended finite element method, Comput. Meth. Appl. Mech. Eng. 190 (2001), pp. 6183–6200.
  • Luft, B, Shapiro, V, and Tsukanov, I, , Geometrically adaptive numerical integration, Proceedings of 2008 ACM Symposium on Solid and Physical Modeling, Stony Brook, NY, June (2008), pp. 147–157.
  • Haftka, RT, and Gurdal, Z, 1992. Elements of Structural Optimization. Amsterdam: Kluwer Academic; 1992.
  • Kazemzadeh-Parsi, MJ, and Daneshmand, F, 2009. Solution of geometric inverse heat conduction problems by smoothed fixed grid finite element method, Finite Elem. Anal. Des. 45 (2009), pp. 599–611.
  • Kazemzadeh-Parsi, MJ, and Daneshmand, F, 2010. Cavity shape identification with convective boundary conditions using non-boundary-fitted meshes, Numer. Heat Transfer, Part B: Fundam. 57 (2010), pp. 283–305.
  • Kazemzadeh-Parsi, MJ, and Daneshmand, F, 2012. Unconfined seepage analysis in earth dams using smoothed fixed grid finite element method, Int. J. Numer. Anal. Meth. Geomech. 36 (2012), pp. 780–797.
  • Reddy, JN, 2006. An Introduction to the Finite Element Method. New York: McGraw-Hill; 2006.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.