Electromagnetic properties of multiphase dielectrics: A primer on modeling, theory and computation

Lecture Notes in Applied and Computational Mechanics

Volumn 64 LNACM, Issue , 2012, Pages 1-186

  Zohdi, Tarek I ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84861320263     PISSN: 16137736     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-28427-4_1     Document Type: Article

References (140)

1. Akisanya, A.R., Cocks, A.C.F., Fleck, N.A.: The yield behavior of metal powders. Int. J. Mech. Sci. 39, 1315-1324 (1997)
2. Amdahl, G.: The validity of a single processor approach to achieving largescale computing capabilities. In: Proceedings of AFIPS Spring Joint Computer Conference, pp. 483-485. AFIPS Press, Atlantic City (1967)
3. Ames, W.F.: Numerical methods for partial differential equations, 2nd edn. Academic Press (1977)
4. Anand, L., Gu, C.: Granular materials: constitutive equations and shear localization. J. Mech. Phys. Sol. 48, 1701-1733 (2000)
5. Axelsson, O.: Iterative solution methods. Cambridge University Press (1994)
6. Bessis, M.: Corpuscules. Springer, Heidelberg (1974)
7. Bergman, D.J.: The Dielectric Constant of a Composite Material - A Problem in Classical Physics. Phys. Rep. C 43, 377 (1978)
8. Bianco, M., Bilardi, G., Pesavento, F., Pucci, G., Schrefler, B.A.: A frontal solver tuned for fully coupled non-linear hygro-thermo-mechanical problems. Int. J. Numer. Meth. Eng. 57, 1801-1818 (2003) (Pubitemid 37002502)
9. Brown, S., Abou-Chedid, G.: Yield behavior of metal powder assemblages. J. Mech. Phys. Solid. 42, 383-398 (1994)
10. Chandrasekharaiah, D.S., Debnath, L.: Continuum mechanics. Academic Press (1994)
11. Crank, J.: The mathematics of diffusion, 2nd edn. Oxford Science Publications (1975)
12. Cule, D., Torquato, S.: Electric-Field Distribution in Composite Media. Phys. Rev. B 58, R11829 (1998)
13. Davis, L.: Handbook of Genetic Algorithms. Thompson Computer Press (1991)
14. Demkowicz, L.: Computing with Hp-Adaptive Finite Elements. One- and Twodimensional Elliptic and Maxwell Problems, vol. I. CRC Press (2006)
15. Demkowicz, L., Kurtz, J., Pardo, D., Paszynski, M., Rachowicz, W., Zdunek, A.: Computing with Hp-Adaptive Finite Elements. Vol. II. Frontiers: Three Dimensional Elliptic and Maxwell Problems with Applications. Chapman and Hall (2007)
16. Doltsinis, I.: Coupled field problems-solution techniques for sequential and parallel processing. In: Papadrakakis, M. (ed.) Solving Large-Scale Problems in Mechanics (1993)
17. Doltsinis, I.: Solution of coupled systems by distinct operators. Engrg. Comput. 14, 829-868 (1997) (Pubitemid 127624402)
18. Domas, F.: Eigenschaftprofile und Anwendungsübersicht von EPE und EPP. Technical report of the BASF Company (1997)
19. Donev, A., Cisse, I., Sachs, D., Variano, E.A., Stillinger, F., Connelly, R., Torquato, S., Chaikin, P.: Improving the density of jammed disordered packings using ellipsoids. Science 303, 990-993 (2004) (Pubitemid 38209698)
20. Donev, A., Torquato, S., Stillinger, F.: Neighbor list collision-driven molecular dynamics simulation for nonspherical hard particles-I. Algorithmic details. J. Comput. Phys. 202, 737 (2005a)
21. Donev, A., Torquato, S., Stillinger, F.: Neighbor list collision-driven molecular dynamics simulation for nonspherical hard particles-II. Application to ellipses & ellipsoids. J. Comput. Phys. 202, 765 (2005b)
22. Eber, S., Lux, S.E.: Hereditary spherocytosis-defects in proteins that connect the membrane skeleton to the lipid bilayer. Semin. Hematol. 41, 118-141 (2004) (Pubitemid 38509638)
23. Evans, E.A., Fung, Y.C.: Improved measurements of the erythrocyte geometry. Microvascular Research 4, 335 (1972)
24. Farhat, C., Lesoinne, M., Maman, N.: Mixed Explicit/Implicit Time Integration of Coupled Aeroelastic Problems: Three-Field Formulation, Geometric Conservation and Distributed Solution. Int. J. Num. Method. Fluid 21, 807-835 (1995)
25. Farhat, C., Lesoinne, M.: Two Efficient Staggered Procedures for the Serial and Parallel Solution of Three-Dimensional Nonlinear Transient Aeroelastic Problems. Comp. Meth. App. Mech. and Engrg. 182, 499-516 (2000)
26. Farhat, C., van der Zee, G., Geuzaine, P.: Provably second-order time-accurate loosely-coupled solution algorithms for transient nonlinear computational aeroelasticity. Comp. Meth. Appl. Mech. Engng. 195, 1973-2001 (2006) (Pubitemid 43193530)
27. Fish, J., Chen,W.: Modeling and Simulation of Piezocomposites. Comp. Meth. Appl. Mech. Engng. 192, 3211-3232 (2003) (Pubitemid 36967756)
28. Fleck, N.A.: On the cold compaction of powders. J. Mech. Phys. Solid 43, 1409-1431 (1995)
29. Forget, B.G., Cohen, A.R.: Thalassemia syndromes. In: Hoffman, B.E. (ed.) Hematology: Basic Principles and Practice, 4th edn., pp. 557-558. Elsevier, Philadelphia (2005)
30. Flynn, C.P.: Point defects and diffusion. Clarendon Press, Oxford (1972)
31. Gallagher, P.G.: Hereditary elliptocytosis: spectrin and protein 4.1R. Semin Hematol 41, 142-164 (2004a) (Pubitemid 38509639)
32. Gallagher, P.G.: Update on the clinical spectrum and genetics of red blood cell membrane disorders. Curr. Hematol. Rep. 3, 85-91 (2004b)
33. Gill, P., Murray, W., Wright, M.: Practical optimization. Academic Press (1995)
34. Goldberg, D.E.: Genetic algorithms in search, optimization and machine learning. Addison-Wesley (1989)
35. Goldberg, D.E., Deb, K.: Special issue on Genetic Algorithms. Comp. Meth. Appl. Mech. Engng. 186(2-4), 121-124 (2000)
36. Grant, et al.: A critical study of the open-ended coaxial line sensor technique for RF and microwave complex. J. Phys. E: Sci. Instrum. (1989)
37. Gu, C., Kim, M., Anand, L.: Constitutive equations for metal powders: application to powder forming processes. Int. J. Plast. 17, 147-209 (2001) (Pubitemid 32130246)
38. Gustafson, J.L.: Reevaluating Amdahl's law. Comm. ACM 31(5), 532-533 (1988)
39. Hashin, Z., Shtrikman, S.: A variational approach to the theory of effective magnetic permeability of multiphase materials. J. App. Phys. 33(10), 3125-3131 (1962)
40. Hashin, Z., Shtrikman, S.: On some variational principles in anisotropic and nonhomogeneous elasticity. J. Mech. Phys. Solid 10, 335-342 (1962)
41. Hashin, Z., Shtrikman, S.: A variational approach to the theory of the elastic behaviour of multiphase materials. J. Mech. Phys. Solid. 11, 127-140 (1963)
42. Hashin, Z.: Analysis of composite materials: a survey. ASME J. App. Mech. 50, 481-505 (1983)
43. Hill, R.: The Elastic Behaviour of a Crystalline Aggregate. Proc. Phys. Soc. Lond A65, 349-354 (1952)
44. Hector, L.G., Schultz, H.L.: The Dielectric Constant of Air at Radiofrequencies 7, 133-136 (1936)
45. Holland, J.H.: Adaptation in natural and artificial systems. University of Michigan Press, Ann Arbor (1975)
46. Jackson, J.D.: Classical Electrodynamics, 3rd edn. Wiley (1998)
47. Jikov, V.V., Kozlov, S.M., Olenik, O.A.: Homogenization of differential operators and integral functionals. Springer, Heidelberg (1994)
48. Kachanov, L.M.: Introduction to continuum damage mechanics. Martinus Nijoff, Dordricht (1986)
49. Kansaal, A., Torquato, S., Stillinger, F.: Diversity of order & densities in jammed hard-particle packings. Phys. Rev. E 66, 041109 (2002)
50. Kennedy, J., Eberhart, R.: Swarm Intelligence. Morgan Kaufmann Publishers (2001)
51. Kreher, W., Pompe, W.: Internal Stresses in Heterogeneous Solids. Akademie- Verlag, Berlin (1989)
52. Kröner, E.: Statistical Continuum Mechanics. CISM Lecture Notes, vol. 92. Springer, Heidelberg (1972)
53. Kunz, K.S., Luebbers, R.J.: The Finite Difference Time Domain Method for Electromagnetics. CRC Press (1993)
54. Lagaros, N., Papadrakakis, M., Kokossalakis, G.: Structural optimization using evolutionary algorithms. Comp. Struct. 80, 571-589 (2002) (Pubitemid 34405489)
55. Lesoinne, M., Farhat, C.: Free Staggered Algorithm for Nonlinear Transient Aeroelastic Problems. AIAA J. 36(9), 1754-1756 (1998)
56. Le Tallec, P., Mouro, J.: Fluid structure interaction with large structural displacements. Comp. Method. App. Mech. Engrg. 190(24-25), 3039-3067 (2001) (Pubitemid 32386245)
57. Lewis, R.W., Schrefler, B.A., Simoni, L.: Coupling versus uncoupling in soil consolidation. Int. J. Num. Anal. Metho. Geomech. 15, 533-548 (1992)
58. Lewis, R.W., Schrefler, B.A.: The finite element method in the static and dynamic deformation and consolidation of porous media, 2nd edn. Wiley Press (1998)
59. Lipton, R.: Optimal bounds on electric-field fluctuations for random composites. J. App. Phys. 88, 4287-4293 (2000)
60. Lipton, R.: Assessment of the local stress state through macroscopic variables. Phil. Trans. Math. Phy. Engrg. Sci. 361, 921-946 (2003) (Pubitemid 37260948)
61. Lipton, R.: Optimal lower bounds on the electric-field concentration in composite media. J. App. Phys. 96, 2821-2827 (2004)
62. Lipton, R.: Optimal lower bounds on the dilatational strain inside random two-phase elastic composites subjected to hydrostatic loading. Mech. Mat. 38, 833-839 (2006) (Pubitemid 43668353)
63. Luenberger, D.: Introduction to Linear and Nonlinear Programming. Addison- Wesley, Menlo Park (1974)
64. Malvern, L.: Introduction to the mechanics of a continuous medium. Prentice- Hall (1968)
65. Markenscoff, X.: Diffusion induced instability. Q. App. Mech. LIX (1), 147-151 (2001) (Pubitemid 32248361)
66. Markenscoff, X.: Instabilities of a thermo-mechano-chemical system. Q. App. Mech. LIX(3), 471-477 (2001) (Pubitemid 32865254)
67. Markenscoff, X.: On conditions of "negative creep" in amorphous solids. Mech. Mater. 35(3-6), 553-557 (2003)
68. Maxwell, J.C.: On the dynamical theory of gases. Philos. Trans. Soc. London 157, 49 (1867)
69. Maxwell, J.C.: A treatise on electricity and magnetism, 3rd edn. Clarendon Press, Oxford (1873)
70. Michaud, V.: Liquid state processing. In: Suresh, S., Mortensen, A., Needleman, A. (eds.) Fundamentals of Metal Matrix Composites (1992)
71. Michopoulos, G., Farhat, C., Fish, J.: Survey on Modeling and Simulation of Multiphysics Systems. J. Comp. Inf. Sci. Engrg. 5(3), 198-213 (2005) (Pubitemid 41643746)
72. Mura, T.: Micromechanics of defects in solids, 2nd edn. Kluwer Academic Publishers (1993)
73. Nye, J.F.: Physical properties of crystals. Oxford University Press (1957)
74. Nemat-Nasser, S., Hori, M.: Micromechanics: overall properties of heterogeneous solids, 2nd edn. Elsevier, Amsterdam (1999)
75. Oden, J.T., Zohdi, T.I.: Analysis and adaptive modeling of highly heterogeneous elastic structures. Comp. Meth. App. Mech. Engrg. 148, 367-391 (1997) (Pubitemid 127407798)
76. Onwubiko, C.: Introduction to engineering design optimization. Prentice-Hall (2000)
77. Park, K.C., Felippa, C.A.: Partitioned analysis of coupled systems. In: Belytschko, T., Hughes, T.J.R. (eds.) Computational Methods for Transient Analysis (1983)
78. Piperno, S.: Explicit/implicit fluid/structure staggered procedures with a structural predictor and fluid subcycling for 2D inviscid aeroelastic simulations. Int. J. Num. Meth. Fluid. 25, 1207-1226 (1997)
79. Papadrakakis, M.: Solving Large-Scale Problems in Mechanics. John Wiley and Sons (1993)
80. Papadrakakis, M.: Parallel Solution Methods in Computational Mechanics. John Wiley and Sons (1997)
81. Papadrakakis, M., Lagaros, N.D., Fragakis, Y.: Parallel computational strategies for structural optimisation. Int. J. Num. Meth. Engrg. (2003)
82. Papadrakakis, M., Lagaros, N., Thierauf, G., Cai, J.: Advanced solution methods in structural optimisation using evolution strategies. Engrg. Comput. J. 15(1), 12-34 (1998a) (Pubitemid 128609890)
83. Papadrakakis, M., Lagaros, N., Tsompanakis, Y.: Structural optimization using evolution strategies and neutral networks. Comp. Method. App. Mech. Engrg. 156(1), 309-335 (1998b)
84. Papadrakakis, M., Lagaros, N., Tsompanakis, Y.: Optimization of large-scale 3D trusses using Evolution Strategies and Neural Networks. Int. J. Space Struc. 14(3), 211-223 (1999a) (Pubitemid 30589493)
85. Papadrakakis, M., Tsompanakis, J., Lagaros, N.: Structural shape optimisation using evolution strategies. Eng. Optimization 31, 515-540 (1999b)
86. Papadrakakis, M., Lagaros, N., Tsompanakis, Y., Plevris, V.: Large scale structural optimization: Computational methods and optimization algorithms. Arch. Comput. Meth. Engrg., SOTA Rev. 8(3), 239-301 (2001) (Pubitemid 33680615)
87. Piperno, S., Farhat, C., Larrouturou, B.: Partitioned Procedures for the Transient Solution of Coupled Aeroelastic Problems - Part I: Model Problem, Theory, and Two-Dimensional Application. Comp. Method. App. Mech. Engrg. 124(1-2), 79-112 (1995)
88. Piperno, S., Farhat, C.: Partitioned Procedures for the Transient Solution of Coupled Aeroelastic Problems - Part II: Energy Transfer Analysis and Three- Dimensional Applications. Comp. Method. App. Mech. Engrg. 190, 3147-3170 (2001) (Pubitemid 32386247)
89. Rachowicz, W., Zdunek, A.: Automated multi-level substructuring (AMLS) for electromagnetics. Comp. Method. App. Mech. Engrg. 198(13/14), 1224-1234 (2009)
90. Rayleigh, J.W.: On the influence of obstacles arranged in rectangular order upon properties of a medium. Phil. Mag. 32, 481-491 (1892)
91. Reuss, A.: Berechnung der Fliessgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle. Z. Angew. Math. Mech. 9, 49-58 (1929)
92. Schrefler, B.A.: A partitioned solution procedure for geothermal reservoir analysis. Comm. Appl. Num. Meth. 1, 53-56 (1985) (Pubitemid 16590100)
93. Schwan, C.: Linear and nonlinear electrode polarization and biological materials. Annals of Biomedical Engineering (1992)
94. Schwan, C.: Electrical properties of blood and its constituents: alternating current spectroscopy. Blut. 46(4), 185-197 (1983)
95. Sevostianov, I., Gorbatikh, L., Kachanov, M.: Recovery of information of porous / microcracked materials from the effective elastic / conductive properties. Mat. Sci. Engrg. A318, 1-14 (2001) (Pubitemid 34077848)
96. Stavroulakis, G.M., Papadrakakis, M.: Advances on the domain decomposition solution of large scale porous media problems. Comp. Method. App. Mech. Engrg. 198(21-26), 1935-1945 (2009)
97. Steinberg, M.H., Benz Jr., E.J., Adewoye, H.A., Hoffman, B.E.: Pathobiology of the human erythrocyte and it's hemoglobins. In: Hoffman, B.E. (ed.) Hematology: Basic Principles and Practice, 4th edn., pp. 442-452. Elsevier, Philadelphia (2005)
98. Taflove, A., Hagness, S.: Computational Electrodynamics: The Finite-Difference Time-Domain Method, 3rd edn. Artech Press (2005)
99. Tatzel, H.: Grundlagen der Verarbeitungstechnik von EPP-Bewährte und neue Verfahren. Technical report of the BASF Company (1996)
100. Torquato, S.: Random heterogeneous media: microstructure and improved bounds on effective properties. Appl. Mech. Rev. 44, 37-76 (1991)
101. Torquato, S., Lado, F.: Improved bounds on the effective elastic moduli of random arrays of cylinders. J. Appl. Mech. 59, 1-6 (1992)
102. Torquato, S.: Effective stiffness tensor of composite media I. Exact series expansions. J. Mech. Phys. Solid 45, 1421-1448 (1997)
103. Torquato, S.: Effective stiffness tensor of composite media I. Applications to isotropic dispersions. J. Mech. Phys. Solid 46, 1411-1440 (1998) (Pubitemid 128424837)
104. Torquato, S.: Random Heterogeneous Materials: Microstructure and Macroscopic Properties. Springer, New York (2001)
105. Tursa, E., Schrefler, B.A.: On consistency, stability and convergence of staggered solution procedures. Rend. Mat. Acc. Lincei, Rome S. 9. 5, 265-271 (1994)
106. Voigt, W.: Über die Beziehung zwischen den beiden Elastizitätskonstanten isotroper Körper. Wied. Ann. 38, 573-587 (1889)
107. Wang, X., Schrefler, B.A.: A multifrontal parallel algorithm for coupled thermo-hydro-mechanical analysis of deforming porous media. Int. J. Numer. Meth. Eng. 43, 1069-1083 (1998) (Pubitemid 29041147)
108. Widom, B.: Random sequential addition of hard spheres to a volume. J. Chem. Phys. 44, 3888-3894 (1966)
109. Wiener, O.: Zur Theorie der Refraktionskonstanten. Berichte über die Verhandlungen der Königlich-Sächsischen Gesellschaft der Wissenshaften zu Leipzig. Math.-Phys. Klasses, Band 62, 256-277 (1910)
110. Yee, K.: Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media. IEEE Trans. on Antennas and Propagation 14, 302 (1966)
111. Young. D. M.: Iterative methods for solving partial difference equations of elliptic type. Doctoral thesis. Harvard University (1950)
112. Zienkiewicz, O.C.: Coupled problems & their numerical solution. In: Lewis, R.W., Bettes, P., Hinton, E. (eds.) Numerical Methods in Coupled Systems, pp. 35-38. Wiley, Chichester (1984)
113. Zienkiewicz, O.C., Paul, D.K., Chan, A.H.C.: Unconditionally stable staggered solution procedure for soil-pore fluid interaction problems. Int. J. Num. Meth. Engrg. 26, 1039-1055 (1988) (Pubitemid 18617254)
114. Zohdi, T.I., Oden, J.T., Rodin, G.J.: Hierarchical modeling of heterogeneous bodies. Comp. Meth. App. Mech. Engrg. 138, 273-298 (1996) (Pubitemid 126405073)
115. Zohdi, T.I., Wriggers, P.: A domain decomposition method for bodies with microstructure based upon material regularization. Int. J. Solid. Struct. 36(17), 2507-2526 (1999)
116. Zohdi, T.I.: Simulation of time-discontinuous chemically-aided intergranular fracture. Comput. Mat. Sci. 24(4), 490-500 (2002) (Pubitemid 34623799)
117. Zohdi, T.I., Hutter, K., Wriggers, P.: A technique to describe the macroscopic pressure dependence of diffusive properties of solid materials containing heterogeneities. Comput. Mat. Sci. 15, 69-88 (1999) (Pubitemid 129608147)
118. Zohdi, T.I.: Some remarks on hydrogen trapping. Int. J. Fract. 106(2), L9-L14 (2000)
119. Zohdi, T.I., Wriggers, P.: A domain decomposition method for bodies with microstructure based upon material regularization. Int. J. Solid Struc. 36(17), 2507-2526 (1999)
120. Zohdi, T.I., Wriggers, P.: Aspects of the computational testing of the mechanical properties of microheterogeneous material samples. Int. J. Num. Meth. Engrg. 50, 2573-2599 (2001) (Pubitemid 32248103)
121. Zohdi, T.I., Wriggers, P.: Computational micro-macro material testing. Arch. Comput. Method. Engrg. 8(2), 131-228 (2001)
122. Zohdi, T.I., Wriggers, P., Huet, C.: A method of substructuring large-scale computational micromechanical problems. Comp. Method. App. Mech. Engrg. 190(43/44), 5639-5656 (2001) (Pubitemid 32808574)
123. Zohdi, T.I.: Computational optimization of vortex manufacturing of advanced materials. Comp. Method. App. Mech. Engrg. 190(46/47), 6231-6256 (2001) (Pubitemid 32961906)
124. Zohdi, T.I.: Genetic design of solids possessing a random-particulate microstructure. PTRS: Math. Phys. Engrg. Sci. 361(1806), 1021-1043 (2003) (Pubitemid 37260953)
125. Zohdi, T.I.: On the compaction of cohesive hyperelastic granules at finite strains. Proc. Royal Soc. 454(2034), 1395-1401 (2003) (Pubitemid 38333367)
126. Zohdi, T.I.: Encyclopedia chapter. In: Stein, E., de Borst, R., Hughes, T. (eds.) Homogenization Methods and Multiscale Modeling: Linear Problems. Encyclopedia of Computational Mechanics. John Wiley (2004)
127. Zohdi, T.I., Wriggers, P.: Introduction to computational micromechanics. Springer, Heidelberg (2005)
128. Zohdi, T.I., Wriggers, P.: Introduction to computational micromechanics, second Reprinting. Springer, Heidelberg (2008)
129. Zohdi, T.I.: An adaptive-recursive staggering strategy for simulating multifield coupled processes in microheterogeneous solids. Int. J. Num. Method. Engrg. 53, 1511-1532 (2002) (Pubitemid 34122589)
130. Zohdi, T.I.: Computational design of swarms. Int. J. Num. Method. Engrg. 57, 2205-2219 (2003) (Pubitemid 37042335)
131. Zohdi, T.I.: Modeling and simulation of a class of coupled thermo-chemomechanical processes in multiphase solids. Comp. Method. App. Mech. Engrg. 193(6/8), 679-699 (2004) (Pubitemid 38187809)
132. Zohdi, T.I.: Modeling and direct simulation of near-field granular flows. Int. J. Solid. Struc. 42(2), 539-564 (2004)
133. Zohdi, T.I.: Computation of the coupled thermo-optical scattering properties of random particulate systems. Comp. Method. App. Mech. Engrg. 195, 5813-5830 (2006) (Pubitemid 43942202)
134. Zohdi, T.I.: Computation of strongly coupled multifield interaction in particlefluid systems. Comp. Method. App. Mech. Engrg. 196, 3927-3950 (2007) (Pubitemid 47033802)
135. Zohdi, T.I., Kuypers, F.A.: Modeling and rapid simulation of multiple red blood cell light scattering. Proc. Roy. Soc. Inter. 3(11), 823-831 (2006) (Pubitemid 44901312)
136. Zohdi, T.I., Kuypers, F.A., Lee, W.C.: Estimation of Red Blood Cell volume fraction from overall permittivity measurement. Int. J. Engrg. Sci. Online 48, 1681-1691 (2010)
137. Zohdi, T.I.: On the computation of the coupled thermo-electromagnetic response of continua with particulate microstructure. Int. J. Num. Method. Engrg. 76, 1250-1279 (2008)
138. Zohdi, T.I.: Joule-heating field phase-amplification in particulate-doped dielectrics. Int. J. Engrg. Sci. 49, 30-40 (2011)
139. Zohdi, T.I.: Simulation of coupled microscale multiphysical-fields in particulatedoped dielectrics with staggered adaptive FDTD. Comp. Method. App. Mech. Engrg. 199, 79-101 (2010)
140. Zohdi, T.I.: Estimation of electrical Load-shares For sintering of powder mixtures. Proceedigs of the Royal Society (in press)