Andrew Norris: Research Publications

Divergence of the logarithm of a unimodular monodromy matrix near the edges of the Brillouin zone, A. L. Shuvalov, A. A. Kutsenko and A. N. Norris, Wave Motion (accepted) Effective wave numbers and reflection coefficients for an elastic medium containing random configurations of cylindrical scatterers, J. M. Conoir and A. N. Norris, Wave Motion (in press) Degenerate nonlinear elastic plane waves, W. Domanski and A. N. Norris, Int. J. Non-Linear Mech. 44, 486-493, 2009. doi: 10.1016/j.ijnonlinmec.2008.12.009 Acoustic metafluids, A. N. Norris, J. Acoust. Soc. Am. . 125(2), 839-49, 2009. doi: 10.1121/1.3050288 Approximation formulae for the acoustic radiation impedance of a cylindrical pipe, F. Silva, Ph. Guillemain, J. Kergomard, B. Mallaroni and A. N. Norris, J. Sound Vib. 322(1-2), 255-263, 2009. doi: 10.1016/j.jsv.2008.11.008 Acoustic cloaking theory, A. N. Norris, Proc. R. Soc. A 464, 2411-2434, 2008. doi: 10.1098/rspa.2008.0076 Nonlinear evolution equations for degenerate transverse waves in anisotropic elastic solids , W. Domanski and A. N. Norris, Proceedings, 18th Intl. Symposium Nonlinear Acoustics, AIP Conf. Proc. 1022, B.Enflo, C. M. Hedberg, L. Kari (eds.), pp. 259-262, 2008. Diffuse wave density and directionality in anisotropic solids , A. N. Norris, J. Acoust. Soc. Am. 123(3), 1399-1408, 2008. Euler-Rodrigues and Cayley formulas for rotation of elasticity tensors, A. N. Norris, Math. Mech. Solids 13 (6), 465-498, 2008. doi: 10.1177/1081286507077982 Higher derivatives and the inverse derivative of a tensor-valued function of a tensor, A. N. Norris, Q. Appl. Math. 66 , 725-741, 2008. Faxen relations in solids - a generalized approach to particle motion in elasticity and viscoelasticity, A. N. Norris, J. Acoust. Soc. Am. 123(1), 99-108, 2008. Comment on ``Method to analyze electromechanical stability of dielectric elastomers" [Appl. Phys. Lett. 91, 061921 (2007)]., A. N. Norris, Appl. Phys. Lett. 92(2), 026101-2, 2008. Eulerian conjugate stress and strain, A. N. Norris, J. Mech. Materials Struct. 3(2), 243-260, 2008. Small-on-large theory with applications to granular materials and fluid/solid systems, A. N. Norris, Waves in Nonlinear Pre-Stressed Materials, Series: CISM International Centre for Mechanical Sciences, Number: 495, ISBN: 978-3-211-73571-8, eds. M. Destrade and G. Saccomandi, 2007. A multiple scales approach to crack front waves, A. N. Norris and I. D. Abrahams, J. Engng. Math. 59(4), 399-417, 2007. Invariants of C1/2 in terms of the invariants of C, A. N. Norris, J. Mech. Materials Struct. 2(9), 1805-1812, 2007. Quadratic invariants of elastic moduli, A. N. Norris, Quart. J. Mech. Appl. Math. 60, 367-389, 2007. doi: 10.1093/qjmam/hbm007 Wavefront singularities associated with the conical point in elastic solids with cubic symmetry, A. N. Norris, Wave Motion 44(6), 513-527, 2007. Pure shear axes and elastic strain energy. Quart. J. Mech. Appl. Math. 59(4), 551-562, 2006. The closest elastic tensor of arbitrary symmetry to an elasticity tensor of lower symmetry, M. Moakher and A. N. Norris, J. Elasticity 85(3), 215-263, 2006. Extreme values of Poisson's ratio and other engineering moduli in anisotropic materials. A. N. Norris, J. Mech. Materials Struct. 1(4), 793-812, 2006. Poisson's ratio in cubic materials, A. N. Norris, Proc. R. Soc. A 462, 3385-3405, 2006. The isotropic material closest to a given anisotropic material, A. N. Norris, J. Mech. Materials Struct. 1(2), 223-238, 2006. Elastic moduli approximation of higher symmetry for the acoustical properties of an anisotropic material, A. N. Norris, J. Acoust. Soc. Am. 119(4), 2114-2121, 2006. Impedance of a sphere oscillating in an elastic medium with and without slip, A. N. Norris, J. Acoust. Soc. Am. 119(4), 2062-2066, 2006. Dynamics of thermoelastic thin plates: A comparison of four theories, A. N. Norris, J. Thermal Stresses 29, 169 - 195, 2006. Optimal orientation of anisotropic solids, A. N. Norris, Quart. J. Mech. Appl. Math. 59, 29-53, 2006. Thermoelastic relaxation in elastic structures, with applications to thin plates, A. N. Norris and D. M. Photiadis, Quart. J. Mech. Appl. Math. 58(1), 145-163, 2005. Acoustic axes in elasticity, A. N. Norris, Wave Motion 40(4), 315-328, 2004. Flexural waves on narrow plates, A. N. Norris, J. Acoust. Soc. Am. 113(5), 2647-2658, 2003. On the existence of flexural edge waves on thin orthotropic plates, I. Thompson , I. D. Abrahams and A. N. Norris, J. Acoust. Soc. Am. 112, 1756-1765, 2002. Elastic waves in inhomogeneously oriented anisotropic materials, A. N. Norris and G. R. Wickham, Wave Motion 33, 97-108, 2001. G.R. Wickham: an appreciation, I. D. Abrahams, P. A. Martin and A. N. Norris, Wave Motion 33, 1-6, 2001. On the existence of flexural edgewaves on submerged elastic plates, I. D. Abrahams and A. N. Norris, Proc. R. Soc. Lond. 456, 1559-1582, 2000. Flexural edge waves and Comments on “A new bending wave solution for the classical plate equation”, JASA 104, 2220-2222 (1998)”, A. N. Norris, V. V. Krylov and I. D. Abrahams, J. Acoust. Soc. Am. 107, 1781-1784, 2000. Stress invariance and redundant moduli in three-dimensional elasticity, A. N. Norris, Proc. R. Soc. Lond. A 455, 4097-4116, 1999. Equilibrium, stability and evolution of elastic plates under the combined effects of stress and surface diffusion, A. N. Norris, Quart. J. Mech. Appl. Math. 52(2), 283-309, 1999. Far-field analysis of the Malyuzhinets solution for plane and surface waves diffraction by an impedance wedge, A. N. Norris and A. V. Osipov, Wave Motion 30, 69-89, 1999. The Malyuzhinets theory for scattering from wedge boundaries: A review, A. V. Osipov and A. N. Norris, Wave Motion 29(4), 313-340, 1999. Reflection and transmission of structural waves at an interface between doubly curved shells, A. N. Norris, Acustica/Acta Acustica 84(6), 1066-1076, 1998. A direct inverse scattering method for imaging obstacles with unknown surface conditions, A. N. Norris, IMA J. Appl. Math. 61(3), 267-290, 1998. The energy of a growing elastic surface, A. N. Norris, Int. J. Solids Structures 35, 5237-5252, 1998. Linear and nonlinear elasticity of granular media: Stress-induced anisotropy of a random sphere pack, D. L. Johnson, L. M. Schwartz, D. Elata, J. G. Berryman, B. Hornby and A. N. Norris, J. Appl. Mech. 65, 380-388, 1998. On wave interaction and diffraction from the junction of curved plates under unilateral fluid loading, A. N. Norris, D. A. Rebinsky and G. R. Wickham, Phil. Trans. R. Soc. Lond. 356, 1421-1467, 1998. Acoustics and stability of fluid flow in a periodic elastic structure, M. A. Grinfeld and A. N. Norris, J. Fluid Struct. 11, 525-533, 1997. Far-field acoustic holography onto cylindrical surfaces using pressure measured on semicircles, A. N. Norris, J. Acoust. Soc. Am. 102, 2098-2107, 1997. Exact complex source representations of transient radiation, Thorkild B. Hansen and A. N. Norris, Wave Motion 26, 101-115, 1997. Flexural wave propagation and scattering on thin plates using Mindlin theory, C. Vemula and A. N. Norris, Wave Motion 26, 1-12, 1997. Rough elastic spheres in contact: Memory effects and the transverse force, D. L. Johnson and A. N. Norris, J. Mech. Phys. Solids 45, 1025-1036, 1997. Exact complex source representations of time-harmonic radiation, A. N. Norris and T. B. Hansen, Wave Motion 25, 127-141, 1997. Nonlinear elasticity of granular media, A. N. Norris and D. L. Johnson, J. Appl. Mech. 64, 39-49, 1997. Acoustic diffraction by a fluid-loaded membrane corner, A. V. Osipov and A. N. Norris, Proc. R. Soc. Lond. A 453, 43-64, 1997. Structural and acoustical wave interaction at a wedge-shaped junction of fluid loaded plates, A. N. Norris and A. V. Osipov, J. Acoust. Soc. Am. 101, 867-876, 1997. Hamiltonian and Onsageristic approaches in the nonlinear theory of fluid permeable elastic continua, M. A. Grinfeld and A. N. Norris, Int. J. Engng. Sci. 35(1), 75-87, 1997. Particle granular temperature in gas fluidized beds, G. D. Cody, D. J. Goldfarb, G. V. Storch Jr. and A. N. Norris, Powder Technology 87, 211-232, 1996. Attenuation of waves in plates and bars using a graded impedance interface at edges, C. Vemula, A. N. Norris and G. D. Cody, J. Sound Vib. 196(1), 107-127, 1996. On acoustic interaction between two thin elastic plates through an angular welded joint, A. N. Norris and A. V. Osipov, J. Sound Vib. 196(1), 75-84, 1996. Anisotropy-induced coupling between borehole acoustic modes, A. N. Norris and B. K. Sinha, J. Geophys. Res. 101(B7), 15,945-15,942, 1996. Acoustoelasticity theory and applications for fluid-saturated porous media, M. A. Grinfeld and A. N. Norris, J. Acoust. Soc. Am. 100, 1368-1374, 1996. Dispersion of flexural waves on shells, D. A. Rebinsky and A. N. Norris, ASME J. Vib. Acoust. 118, 526-529, 1996. Line admittance at the junction of two plates with and without fluid loading, A. N. Norris and D. A. Rebinsky, J. Sound Vib. 191, 29-51, 1996. Acoustic diffraction from the junction of two joined parallel plates, A. N. Norris, J. Acoust. Soc. Am. 99, 1475-1483, 1996. Ray tracing over smooth elastic shells of arbitrary shape, Y. Yang, A. N. Norris and L. C. Couchman, J. Acoust. Soc. Am. 99, 55-64, 1996. Acoustic diffraction from the junction of two flat plates, A. N. Norris and G. R. Wickham, Proc. R. Soc. Lond. A 451, 631-656, 1995. Acoustic and flexural wave scattering from a three member junction, D. A. Rebinsky and A. N. Norris, J. Acoust. Soc. Am. 98, 3309-3319, 1995. Stoneley and flexural modes in a pressurized borehole, B. K. Sinha, S. Kostek, and A. N. Norris, J. Geophys. Res. 100, 22375-22381, 1995. Longitudinal and shear wave diffraction at the junction of two fluid loaded, doubly curved shells, D. A. Rebinsky and A. N. Norris, Wave Motion 22, 31-46, 1995. Benchmarking an acoustic coupling theory for elastic shells of arbitrary shape, D. A. Rebinsky and A. N. Norris, J. Acoust. Soc. Am. 98, 2368-2371, 1995. Nonlinear poroelasticity for a layered medium, A. N. Norris and M. A. Grinfeld, J. Acoust. Soc. Am. 98, 1138-1146, 1995. The speed of a wave along a fluid/solid interface in the presence of anisotropy and prestress, A. N. Norris and B. Sinha, J. Acoust. Soc. Am. 98, 1147-1154, 1995. Acoustic scattering from fluid-loaded elastic shells: A gaussian beam approach, Y. Yang, A. N. Norris and L. C. Couchman, J. Acoust. Soc. Am. 98, 611-622, 1995. Acoustic and membrane wave interaction at plate junctions, A. N. Norris and D. A. Rebinsky, J. Acoust. Soc. Am. 97, 2063-2073, 1995. Rays, beams and quasimodes on thin shell structures, A. N. Norris, Wave Motion 21, 127-147, 1995. Waves in cylindrical shells with circumferential submembers - A matrix approach, Z. Wang and A. N. Norris, J. Sound Vib. 181, 457-484, 1995. Scattering of flexural waves on thin plates, A. N. Norris and C. Vemula, J. Sound Vib. 181, 115-125, 1995. Bending wave diffraction from strips and cracks on thin plates, A. N. Norris and Z. Wang, Q. J. Mech. Appl. Math. 47, 607-627, 1994. Dynamic Green's functions in anisotropic piezoelectric, thermoelastic and poroelastic solids, A. N. Norris, Proc. R. Soc. Lond. 447, 175-188, 1994. Membrane and flexural waves on thin shells, A. N. Norris and D. A. Rebinsky, ASME J. Vib. Acoust. 116, 457-467, 1994. Nonlinear tube waves, D. L. Johnson, S. Kostek and A. N. Norris, J. Acoust. Soc. Am. 96, 1829-1843, 1994. Acoustoelasticity of solid/fluid composite systems, A. N. Norris, B. Sinha and S. Kostek, Geophys. J. Int. 118, 439-446, 1994. Borehole flexural modes in anisotropic formations, B. K. Sinha, A. N. Norris and S. K. Chang, Geophysics 59, 1037-1052, 1994. Acoustic coupling to membrane waves on elastic shells, A. N. Norris and D. A. Rebinsky, J. Acoust. Soc. Am. 95, 1809-1829, 1994. Flexural edge waves, A. N. Norris, J. Sound Vib. 171, 571-573, 1994. Low frequency bending waves in periodic plates, A. N. Norris and Z. Wang, J. Sound Vib. 169, 485-502, 1994. Third order elastic moduli for an inviscid fluid, S. Kostek, B. Sinha and A. N. Norris, J. Acoust. Soc. Am. 94, 3014-3017, 1993. Waves in stratified viscoelastic media with microstructure, R. Burridge, M. de Hoop, K. Hsu, L. Le and A. N. Norris, J. Acoust. Soc. Am. 94, 2884-2894, 1993. Waves in periodically layered media: A comparison of two theories, A. N. Norris, SIAM J. Appl. Math. 53, 1195-1209, 1993. Acoustic reciprocity for fluid-structure problems, A. N. Norris and D. A. Rebinsky, J. Acoust. Soc. Am. 94, 1714-1715, 1993. Weak elastic anisotropy and the tube wave, A. N. Norris and B. K. Sinha, Geophysics 58, 1091-1098, 1993. Low frequency dispersion and attenuation in partially saturated rocks, A. N. Norris, J. Acoust. Soc. Am. 94, 359-371, 1993. Fundamental elastodynamic solutions for anisotropic media with ellipsoidal slowness surfaces, R. Burridge, P. Chadwick and A. N. Norris, Proc. R. Soc. Lond. A 440, 655-681, 1993. Elastic Helmholtz resonators, A. N. Norris and G. Wickham, J. Acoust. Soc. Am. 93, 617-630, 1993. Acoustic wave scattering from thin shell structures, A. N. Norris and N. Vasudevan, J. Acoust. Soc. Am. 92, 3320-3336, 1992. Observation of bending wave localization and quasi-mobility edge in two dimensions, L. Ye, G. Cody, M. Zhou, P. Sheng and A. N. Norris, Phys. Rev. Lett. 69, 3080-3083, 1992. One-component surface waves in materials with symmetry, A. N. Norris, J. Mech. Phys. Solids 40, 1569-1582, 1992. High frequency nonlinear gaussian beams and wave packets, A. N. Norris, J. Acoust. Soc. Am. 92, 2186-2194, 1992. Static implications of the existence of a plane of symmetry in an anisotropic elastic solid, M. A. Hayes and A. N. Norris, Q. J. Mech. Appl. Math. 45, 141-147, 1992. Dispersive plane wave propagation in periodically layered anisotropic media, A. N. Norris, Proc. R. Irish Acad. 92A, 49-67, 1992. Shear wave propagation in a periodically layered medium - an asymptotic theory, A. N. Norris and F. Santosa, Wave Motion 16, 35-55, 1992. Elastic wave scattering by rectangular cracks, L. Guan and A. N. Norris, Int. J. Solids Structures 29, 1549-1565, 1992. On the correspondence between poroelasticity and thermoelasticity, A. N. Norris, J. Appl. Physics 71, 1138-1141, 1992. Longitudinal wave scattering from a partially debonded fiber, Y. Yang and A. N. Norris, Wave Motion 15, 43-59, 1992. Symmetry conditions for third order elastic moduli and implications in nonlinear wave theory, A. N. Norris, J. Elasticity 25, 247-257, 1991. Dynamic stress on a partially bonded fiber, A. N. Norris and Y. Yang, J. Appl. Mech. 58, 404-409, 1991. Static and dynamic axial loading of a partially bonded fiber, A. N. Norris and Y. Yang, Mechanics of Materials 11, 163-175, 1991. Shear wave scattering from a debonded fibre, Y. Yang and A. N. Norris, J. Mech. Phys. Solids 39, 273-294, 1991. Resonant acoustic scattering from solid targets, A. N. Norris, J. Acoust. Soc. Am. 88, 505-514, 1990. Conditions under which the slowness surface of an anisotropic elastic material is the union of aligned ellipsoids, P. Chadwick and A. N. Norris, Q. J. Mech. Appl. Math. 43, 589-603, 1990. The mechanical properties of platelet reinforced composites, A. N. Norris, Int. J. Solids Structures 26, 663-674, 1990. The speed of a tube wave, A. N. Norris, J. Acoust. Soc. Am. 87, 414-417, 1990. Acoustic radiation from a circular pipe with an infinite flange, A. N. Norris and I.C. Sheng, J. Sound Vib. 135, 85-93, 1989. On the acoustic determination of the elastic moduli of anisotropic solids and acoustic conditions for the existence of planes of symmetry, A. N. Norris, Q. J. Mech. Appl. Math. 42, 413-426, 1989. Stoneley wave attenuation and dispersion in permeable formations, A. N. Norris, Geophysics 54, 330-341, 1989. An examination of the Mori-Tanaka effective medium approximation for multiphase composites, A. N. Norris, J. Appl. Mech. 56, 83-88, 1989. Elastic gaussian wave packets in isotropic media, A. N. Norris, Acta Mech. 71, 95-114, 1988. Acoustic radiation and reflection from a rigid solid with periodically spaced semi-infinite circular holes, A. N. Norris and H. A. Luo, J. Acoust. Soc. Am. 82, 2113-2122, 1987. A theory of pulse propagation in anisotropic elastic solids, A. N. Norris, Wave Motion 9, 509-532, 1987. Gaussian wave packets in inhomogeneous media with curved interfaces, A. N. Norris, B. S. White and J. R. Schrieffer, Proc. Roy. Soc. Lond. A412, 93-123, 1987. The tube wave as a Biot slow wave, A. N. Norris, Geophysics 52, 694-696, 1987. Some remarks on the gaussian beam summation method, B. S. White, A. N. Norris, A. Bayliss and R. Burridge, Geophys. J. R. Astr. Soc. 89, 579-636, 1987. On the viscodynamic operator in Biot's equations of poroelasticity, A. N. Norris, J. Wave-Material Interaction 1, 365-380, 1986. Complex point source representation of real point sources and the gaussian beam summation method, A. N. Norris, J. Opt. Soc. Am. A3, 2005-2010, 1986. Scattering of elastic waves by spherical inclusions with applications to low frequency wave propagation in composites, A. N. Norris, Int. J. Engng. Sci. 24, 1271-1282, 1986. Acoustic pulse scattering by baffled membranes, G. A. Kriegsmann, E. L. Reiss and A. N. Norris, J. Acoust. Soc. Am. 79, 1-8, 1986. A generalized differential effective medium theory, A. N. Norris, A. J. Callegari and P. Sheng, J. Mech. Phys. Solids 33, 525-543, 1985. A differential scheme for the effective moduli of composites, A. N. Norris, Mechanics of Materials 4, 1-16, 1985. Acoustic radiation generated by the local excitation of submerged beams and strings, J. Song, A. N. Norris and J. D. Achenbach, J. Sound Vib. 100, 107-121, 1985. An optical theorem for acoustic scattering by baffled flexible membranes, G.A. Kriegsmann, E.L. Reiss and A. N. Norris, J. Sound Vib. 99, 301-307, 1985. Radiation from a point source and scattering theory in a fluid saturated porous solid, A. N. Norris, J. Acoust. Soc. Am. 77, 2012-2023, 1985. Effective medium theories for two phase dielectric media, A. N. Norris, P. Sheng and A. J. Callegari, J. Appl. Phys. 57, 1990-1996, 1985. Scattering by penetrable acoustic targets, G.A. Kriegsmann, E.L. Reiss and A. N. Norris, Wave Motion 6, 501-516, 1984. The influence of beam type on the back reflection of ultrasonic waves from a liquid-solid interface, A. N. Norris, J. Acoust. Soc. Am. 76, 629-631, 1984. Loss of specular reflection due to crack face interaction, J. D. Achenbach and A. N. Norris, J. Nondestructive Evaluation 3, 229-239, 1984. Elastic wave diffraction by a semi-infinite crack in a transversely isotropic material, A. N. Norris and J. D. Achenbach, Q. J. Mech. Appl. Math. 37, 565-580, 1984. Acoustic scattering by a baffled membrane, G. A. Kriegsmann, E. L. Reiss and A. N. Norris, J. Acoust. Soc. Am. 75, 685-695, 1984. Propagation of plane waves in a pre-stressed elastic medium, A. N. Norris, J. Acoust. Soc. Am. 74, 1642-1643, 1983. Inverse ray tracing in elastic solids with unknown anisotropy, A. N. Norris, J. Acoust. Soc. Am. 73, 421-426, 1983. Rayleigh waves excited by the discontinuous advance of a rupture front, J.G. Harris, J. D. Achenbach and A. N. Norris, J. Geophys. Res. 88, 2233-2239, 1983. Back reflection of ultrasonic waves from a liquid-solid interface, A. N. Norris, J. Acoust. Soc. Am. 73, 427-434, 1983. Excitation of surface waves by compact sub-surface sources, J. D. Achenbach and A. N. Norris, Proc. Roy. Soc. Lond. A382, 411-428, 1982. Mapping of crack edges by ultrasonic methods, A. N. Norris and J. D. Achenbach, J. Acoust. Soc. Am. 72, 264-272, 1982. Mapping of crack edges by seismic methods, J. D. Achenbach and A. N. Norris, Bull. Seismological Soc. Am. 72, 779-792, 1982. Interference of corner reflected and edge diffracted signals for a surface breaking crack, J. D. Achenbach and A. N. Norris, J. Acoust. Soc. Am. 70, 165-171, 1981. An inversion integral for crack scattering data, J. D. Achenbach, K. Viswanathan and A. N. Norris, Wave Motion 1, 299-316, 1979.

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