Effective Willis constitutive equations for periodically stratified anisotropic elastic media
暂无分享,去创建一个
A. A. Kutsenko | A. Norris | O. Poncelet | A. Shuvalov | A. Kutsenko | A. L. Shuvalov | A. N. Norris | O. Poncelet
[1] T. C. T. Ting,et al. Anisotropic Elasticity: Theory and Applications , 1996 .
[2] Graeme W Milton,et al. On modifications of Newton's second law and linear continuum elastodynamics , 2007, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[3] S. Blanes,et al. The Magnus expansion and some of its applications , 2008, 0810.5488.
[4] Andrew N. Norris. Waves in Periodically Layered Media: A Comparison of Two Theories , 1993, SIAM J. Appl. Math..
[5] Jitse Niesen,et al. Convergence of the Magnus Series , 2008, Found. Comput. Math..
[6] E. Behrens. Elastic Constants of Composite Materials , 1969 .
[7] S. Rokhlin,et al. Floquet wave homogenization of periodic anisotropic media. , 2002, The Journal of the Acoustical Society of America.
[8] Dieter Weichert,et al. Higher order asymptotic homogenization and wave propagation in periodic composite materials , 2008, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[9] E. Burstein,et al. ACOUSTICAL ACTIVITY AND OTHER FIRST ORDER SPATIAL DISPERSION EFFECTS IN CRYSTALS. , 1968 .
[10] Grimsditch,et al. Effective elastic constants of superlattices of any symmetry. , 1986, Physical review. B, Condensed matter.
[11] M. C. Pease,et al. Methods of Matrix Algebra , 1965 .
[12] F. Santosa,et al. Shear wave propagation in a periodically layered medium - an asymptotic theory , 1992 .
[14] A. Norris,et al. Divergence of logarithm of a unimodular monodromy matrix near the edges of the Brillouin zone , 2009, 0911.2029.
[15] S. I. Rokhlin,et al. Recursive geometric integrators for wave propagation in a functionally graded multilayered elastic medium , 2004 .
[16] J. Willis,et al. Exact effective relations for dynamics of a laminated body , 2009 .