Effective Properties of Composite Media Containing Periodic Arrays of Spheres |
Contents
Problem and Scope | 3 |
Sequence of Presentation | 12 |
Asymptotic Form of the Effective Viscosity Tensor | 39 |
14 other sections not shown
Common terms and phrases
0.60 Illustration angular displacement arrays of spheres asymptotic analysis asymptotic expansions asymptotic form asymptotic results basis functions Body-Centered Cubic Lattices boundary conditions calculate Cijk Cijkl close-packing Coefficient G₁ composite composite material Computed and asymptotic computed results Concentration Asymptotic Formulas constitutive equations convergence cylindrical coordinates dA(x defined deviatoric effective elasticity tensor effective viscosity problem effective viscosity tensor Elasticity Coefficient elne evaluated face-centered cubic lattices fluid velocity four-tensor G₁ G₂ identities included spheres integral equations isotropic Lamé constants lattice cell lattice of spheres linear Low Concentration Asymptotic matrix moduli nearest neighbor spheres Newtonian fluid numerical method numerical results O(e˛ obtain parameter particles periodic array periodic lattice Poisson ratio principal lattice sums reciprocal lattice shear Simple Cubic Lattices simplify solution solve sphere centered stress stresslet integral Substituting surface force density suspension symmetry Table Tijk tion vector volume concentration yields Zuzovsky Zuzovsky's әт