Inverse viscoelastic material characterization using POD reduced-order modeling in acoustic-structure interaction

Computer Methods in Applied Mechanics and Engineering

Volumn 198, Issue 9-12, 2009, Pages 893-903

  Brigham, John C ^a   Aquino, Wilkins ^b  

^a University of Pittsburgh   (United States)

^b School of Operations Research and Industrial Engineering   (United States)

Author keywords

Inverse problem; Optimization; Proper orthogonal decomposition; Vibroacoustics; Viscoelasticity

Indexed keywords

ACOUSTIC FIELDS; ACOUSTICS; BEAMS AND GIRDERS; DIFFERENTIAL EQUATIONS; ELASTICITY; FLOW INTERACTIONS; GLOBAL OPTIMIZATION; INVERSE PROBLEMS; MATHEMATICAL MODELS; OPTIMIZATION; VISCOELASTICITY; VISCOSITY;

ACOUSTIC RESPONSES; COMPUTATIONAL COSTS; COMPUTATIONAL EXPENSES; DO-MAINS; FINITE ELEMENT MODELS; GALERKIN; GENERALIZATION CAPABILITIES; GLOBAL OPTIMIZATION TECHNIQUES; HARMONIC PRESSURES; INVERSE SOLUTIONS; MODEL REDUCTIONS; NUMERICAL MODELS; ORDER ANALYSES; POSSIBLE SOLUTIONS; PROPER ORTHOGONAL DECOMPOSITION; SEARCH SPACES; SELECTION PROCESSES; SOLUTION STRATEGIES; STRUCTURE INTERACTIONS; VIBROACOUSTICS; VISCOELASTIC BEHAVIORS; VISCOELASTIC MATERIALS; VISCOELASTIC MODELS; VISCOELASTIC PARAMETERS;

FINITE ELEMENT METHOD;

EID: 58349096500     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2008.10.018     Document Type: Article

References (38)

1. ABAQUS, Documentation, Version 6.5.
2. Acharjee S., and Zabaras N. A proper orthogonal decomposition approach to microstructure model reduction in Rodrigues space with applications to optimal control of micro structure-sensitive properties. Acta Mater. 51 (2003) 5627-5646
3. Aquino W. An object-oriented framework for reduced-order models using proper orthogonal decomposition (POD). Comput. Methods Appl. Mech. Engrg. 196 (2007) 4375-4390
4. Aquino W., and Brigham J.C. Self-learning finite elements for inverse estimation of thermal constitutive models. Int. J. Heat Mass Transfer 49 (2006) 2466-2478
5. Asma F., and Bouazzouni A. Finite element model updating using FRF measurements. Shock Vib. 12 (2005) 377-388
6. Atwell J.A., and King B.B. Proper orthogonal decomposition for reduced basis feedback controllers for parabolic equations. Math. Comput. Model. 33 (2001) 1-19
7. Bagchi A. Updating the mathematical model of a structure using vibration data. J. Vib. Control 11 (2005) 1469-1486
8. Banks H.T., Joyner M.L., Wincheski B., and Winfree W.P. Real time computational algorithms for eddy-current-based damage detection. Inverse Probl. 18 (2002) 795-823
9. Bercoff J., Chaffai S., Tanter M., Sandrin L., Catheline S., Fink M., Gennisson J.L., and Meunier M. In vivo breast tumor detection using transient elastography. Ultrasound Med. Biol. 29 (2003) 1387-1396
10. Brigham J.C., and Aquino W. Surrogate-model accelerated random search algorithm for global optimization with applications to inverse material identification. Comput. Methods Appl. Mech. Engrg. 196 (2007) 4561-4576
11. Brigham J.C., Aquino W., Mitri F.G., Greenleaf J.F., and Fatemi M. Inverse estimation of viscoelastic material properties for solids immersed in fluids using vibroacoustic techniques. J. Appl. Phys. 101 (2007) 23509-1-23509-14
12. Chinesta F., Ammar A., Lemarchand F., Beauchene P., and Boust F. Alleviating mesh constraints: model reduction, parallel time integration and high resolution homogenization. Comput. Methods Appl. Mech. Engrg. 197 (2008) 400-413
13. Duck F.A. Physical Properties of Tissue: A Comprehensive Reference Book (1990), Academic Press, London, San Diego, CA
14. Fatemi M., and Greenleaf J.F. Ultrasound-stimulated vibro-acoustic spectrography. Science 280 (1998) 82-85
15. Findley W.N., Lai J.S., and Onaran K. Creep and Relaxation of Nonlinear Viscoelastic Materials, with an Introduction to Linear Viscoelasticity (1976), North-Holland Pub. Co., Amsterdam, New York
16. Ganapathysubramanian S., and Zabaras N. Design across length scales: a reduced-order model of polycrystal plasticity for the control of micro structure-sensitive material properties. Comput. Methods Appl. Mech. Engrg. 193 (2004) 5017-5034
17. Goldberg D.E. Genetic Algorithms in Search, Optimization, and Machine Learning (1989), Addison-Wesley, Reading, MA
18. Han S., and Feeny B. Application of proper orthogonal decomposition to structural vibration analysis. Mech. Syst. Signal Process. 17 (2003) 989-1001
19. Holmes P., Lumley J.L., and Berkooz G. Turbulence, Coherent Structures, Dynamical Systems, and Symmetry (1996), Cambridge University Press, Cambridge, New York
20. Ihlenburg F., and Babuska I. Finite-element solution of the Helmholtz-equation with high wave-number. 1. The H-version of the FEM. Comput. Math. Appl. 30 (1995) 9-37
21. Ihlenburg F., and Babuska I. Finite element solution of the Helmholtz equation with high wave number. 2. The h-p version of the FEM. Siam J. Numer. Anal. 34 (1997) 315-358
22. Jaynes E.T. Information theory and statistical mechanics. Phys. Rev. 106 (1957) 620-630
23. Joyner M.L. A numerical study of the POD method in NDE. Appl. Math. Comput. 174 (2006) 732-754
24. Kopp G.A., Ferre J.A., and Giralt F. The use of pattern recognition and proper orthogonal decomposition in identifying the structure of fully-developed free turbulence. J. Fluids Engrg. - Trans. Asme 119 (1997) 289-296
25. Ladeji-Osias J., and Langrana N.A. Analytical evaluation of tumors surrounded by soft tissue. Proceeding of the 22nd Annual EMBS International Conference vol. 3 (2000), IEEE, Chicago, IL 2114-2117
26. Larson R.S., and Jones M.R. Reduced-order modeling of time-dependent reflectance profiles from purely scattering media. J. Quant. Spectrosc. Radiat. Transfer 109 (2008) 201-209
27. Learoyd B.M., and Taylor M.G. Alterations with age in viscoelastic properties of human arterial walls. Circ. Res. 18 (1966) 278
28. Leibfritz F., and Volkwein S. Reduced order output feedback control design for PDE systems using proper orthogonal decomposition and nonlinear semidefinite programming. Linear Algebra Appl. 415 (2006) 542-575
29. Lieu T., Farhat C., and Lesoinne A. Reduced-order fluid/structure modeling of a complete aircraft configuration. Comput. Methods Appl. Mech. Engrg. 195 (2006) 5730-5742
30. Ly H.V., and Tran H.T. Modeling and control of physical processes using proper orthogonal decomposition. Math. Comput. Model. 33 (2001) 223-236
31. Mitchell M. An Introduction to Genetic Algorithm (1998), MIT Press, Cambridge, MA
32. Mitri F.G. Inverse determination of porosity from object's resonances. J Appl. Phys. 96 (2004) 5866-5869
33. Mitri F.G., Trompette P., and Chapelon J.Y. Detection of object resonances by vibro-acoustography and numerical vibrational mode identification. J. Acoust. Soc. Am. 114 (2003) 2648-2653
34. Ostrowski Z., Bialecki R.A., and Kassab A.J. Estimation of constant thermal conductivity by use of proper orthogonal decomposition. Comput. Mech. 37 (2005) 52-59
35. Ostrowski Z., Bialecki R.A., and Kassab A.J. Solving inverse heat conduction problems using trained POD-RBF network inverse method. Inverse Probl. Sci. Engrg. 16 (2008) 39-54
36. Ravindran S.S. A reduced-order approach for optimal control of fluids using proper orthogonal decomposition. Int. J. Numer. Methods Fluids 34 (2000) 425-448
37. Reddy J.N. An Introduction to the Finite Element Method. 3rd ed. (2006), McGraw-Hill, New York
38. Rosario D.E., Brigham J.C., and Aquino W. Identification of material properties of orthotropic elastic cylinders immersed in fluid using vibroacoustic techniques. Ultrasonics 48 (2008) 547-552