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

Inverse Problems in Science and Engineering

Volumn 21, Issue 2, 2013, Pages 235-250

  Kazemzadeh Parsi, Mohammad Javad ^a   Daneshmand, Farhang ^b,c  

^a ISLAMIC AZAD UNIVERSITY   (Iran)

^b SHIRAZ UNIVERSITY   (Iran)

^c MCGILL UNIVERSITY   (Canada)

Author keywords

functionally graded materials; geometric inverse problems; non boundary fitted meshes; shape sensitivity analysis; smoothed fixed grid finite element method

Indexed keywords

DIRECT PROBLEMS; FINITE ELEMENT; FIXED GRIDS; GRADIENT SMOOTHING; HEAT-CONDUCTION ANALYSIS; INVERSE GEOMETRY; MEASURED TEMPERATURES; NEW APPROACHES; NON-BOUNDARY-FITTED MESHES; NUMERICAL EXAMPLE; OPTIMIZATION ALGORITHMS; PARAMETERIZATION TECHNIQUES; SHAPE IDENTIFICATIONS; SHAPE SENSITIVITY ANALYSIS; SHAPE VARIATIONS; SMOOTHED FIXED GRID FINITE ELEMENT METHODS; TWO-DIMENSIONAL OBJECTS;

ALGORITHMS; BEAMS AND GIRDERS; FINITE ELEMENT METHOD; GRADIENT METHODS; INVERSE PROBLEMS; SENSITIVITY ANALYSIS;

FUNCTIONALLY GRADED MATERIALS;

EID: 84870300765     PISSN: 17415977     EISSN: 17415985     Source Type: Journal    
DOI: 10.1080/17415977.2012.686998     Document Type: Article

References (19)

1. Tikhnov, AN and Arsenin, VY. 1977. Solution of Ill-posed Problems, Washington, DC: V.H. Winston.
2. Su, CR and Chen, CK. 2007. Geometry estimation of the furnace inner wall by an inverse approach. Int. J. Heat Mass Transfer, 50: 3767-3773.
3. Birman, V and Byrd, LW. 2007. Modeling and analysis of functionally graded materials and structures. Appl. Mech. Rev., 160: 195-216.
4. 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: 77-88.
5. Mera, NS, Elliot, L and Ingham, DB. 2004. Numerical solution of a boundary detection problem using genetic algorithms. Eng. Anal. Boundary Elem., 28: 405-411.
6. Minutolo, V, Ruocco, E and Ciaramella, S. 2009. Isoparametric FEM vs. BEM for elastic functionally graded materials. Comput. Model. Eng. Sci., 41: 27-48.
7. 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: 973-992.
8. Garcia, MJ and Steven, GP. 1999. Fixed grid finite elements in elasticity problems. Eng. Comput., 16: 145-164.
9. 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: 755-765.
10. Bendsoe, MP and Kikuchi, N. 1988. Generating optimal topologies in structural design using a homogenization method. Comput. Meth. Appl. Mech. Eng., 71: 197-224.
11. Liu, GR, Dai, KY and Nguyen, TT. 2007. A smoothed finite element for mechanics problems. Comput. Mech., 39: 859-877.
12. Strouboulis, T, Copps, K and Babuška, I. 2001. The generalized finite element method. Comput. Meth. Appl. Mech. Eng., 190: 4081-4193.
13. 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: 6183-6200.
14. 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
15. Haftka, RT and Gurdal, Z. 1992. Elements of Structural Optimization, 3rd, Amsterdam: Kluwer Academic.
16. 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: 599-611.
17. 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: 283-305.
18. 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: 780-797.
19. Reddy, JN. 2006. An Introduction to the Finite Element Method, 3rd, New York: McGraw-Hill.