Knowles, James K.

Article from CaltechAUTHORS

• Abeyaratne, Rohan and Knowles, James K. (2011) Discrete and continuous scalar conservation laws; Mathematics and Mechanics of Solids; Vol. 16; No. 3; 283-303; 10.1177/1081286510382821
• Knowles, James K. (2010) On Maximally Dissipative Shock Waves in Nonlinear Elasticity; Journal of Elasticity; Vol. 98; No. 1; 13-23; 10.1007/s10659-009-9221-5
• Knowles, James K. (2008) On the structure of the Hugoniot relation for a shock-induced martensitic phase transition; Shock Waves; Vol. 17; No. 6; 421-432; 10.1007/s00193-008-0119-0
• Knowles, James K. (2008) On entropy conditions and traffic flow models; ZAMM - Journal of Applied Mathematics; Vol. 88; No. 1; 64-73; 10.1002/zamm.200700093
• Knowles, James K. (2007) On shock waves in solids; Discreet and Continuous Dynamical Systems Series B; Vol. 7; No. 3; 573-580
• Knowles, James K. (2007) Driving force and kinetic relations for scalar conservation laws; Journal of Hyperbolic Differential Equations; Vol. 4; No. 1; 19-38; 10.1142/S0219891607001057
• Knowles, James K. (2006) On the approximation of damped linear dynamical systems; Structural Control and Health Monitoring; Vol. 13; No. 1; 324-335; 10.1002/stc.130
• Housner, George W. and Knowles, James K., et el. (2006) Preface; Structural Control and Health Monitoring; Vol. 13; No. 1; 1-6; 10.1002/stc.151
• Knowles, James K. (2005) On shock waves in a special class of thermoelastic solids; International Journal of Non-Linear Mechanics; Vol. 40; No. 2-3; 387-394; 10.1016/j.ijnonlinmec.2004.08.001
• Knowles, James K. (2003) Sudden tensile loading of a rubberlike bar; Mechanics Research Communications; Vol. 30; No. 6; 581-587; 10.1016/S0093-6413(03)00070-3
• Knowles, J. K. (2002) On the relation between particle velocity and shock wave speed for thermoelastic materials; Shock Waves; Vol. 12; No. 2; 137-144; 10.1007/s00193-002-0146-1
• Knowles, James K. (2002) Impact-induced tensile waves in a rubberlike material; SIAM Journal on Applied Mathematics; Vol. 62; No. 4; 1153-1175; 10.1137/S0036139901388234
• Abeyaratne, Rohan and Knowles, James K. (2002) Elastic Materials with Two Stress-Free Configurations; Journal of Elasticity; Vol. 67; No. 1; 61-69; 10.1023/A:1022545224008
• Knowles, James K. (2002) Hysteresis in the Stress‐Cycling of Bars Undergoing Solid–Solid Phase Transitions; Quarterly Journal of Mechanics and Applied Mathematics; Vol. 55; No. 1; 69-91; 10.1093/qjmam/55.1.69
• Abeyaratne, R. and Knowles, J. K. (2000) A note on the driving traction acting on a propagating interface: Adiabatic and non-adiabatic processes of a continuum; Journal of Applied Mechanics; Vol. 67; No. 4; 829-831; 10.1115/1.1308577
• Abeyaratne, Rohan and Knowles, James K. (2000) A phenomenological model for failure waves in glass; Shock Waves; Vol. 10; No. 4; 301-305; 10.1007/s001930000056
• Abeyaratne, Rohan and Knowles, James K. (2000) On a shock-induced martensitic phase transition; Journal of Applied Physics; Vol. 87; No. 3; 1123-1134; 10.1063/1.371989
• Chen, G. Q. and Ahrens, T. J., et el. (1999) Effect of irreversible phase change on shock-wave propagation; Journal of the Mechanics and Physics of Solids; Vol. 47; No. 4; 763-783; 10.1016/S0022-5096(98)00090-8
• Knowles, J. K. (1999) Stress-induced phase transitions in elastic solids; Computational Mechanics; Vol. 22; No. 6; 429-436; 10.1007/s004660050376
• Rosakis, Phoebus and Knowles, James K. (1999) Continuum models for irregular phase boundary motion in shape-memory tensile bars; European Journal of Mechanics - A/Solids; Vol. 18; No. 1; 1-16; 10.1016/S0997-7538(99)80001-1
• Abeyaratne, Rohan and Knowles, James K. (1998) On the stability of thermoelastic materials; Journal of Elasticity; Vol. 53; No. 3; 199-213; 10.1023/A:1007513631783
• Rosakis, Phoebus and Knowles, James K. (1997) Unstable kinetic relations and the dynamics of solid-solid phase transitions; Journal of the Mechanics and Physics of Solids; Vol. 45; No. 11-12; 2055-2081; 10.1016/S0022-5096(97)00026-4
• Abeyaratne, Rohan and Knowles, James K. (1997) On an integrodifferential equation arising in a theory of phase transitions in solids; Quarterly of Applied Mathematics; Vol. 55; No. 4; 761-767
• Knowles, James K. and Winfree, Nancy A., et el. (1997) Dynamically Induced Phase Transitions and the Modeling of Comminution in Brittle Solids; Mathematics and Mechanics of Solids; Vol. 2; No. 2; 99-116; 10.1177/108128659700200201
• Abeyaratne, Rohan and Knowles, James K. (1997) Impact-induced phase transitions in thermoelastic solids; Philosophical Transactions A: Mathematical, Physical and Engineering Sciences; Vol. 355; No. 1726; 843-867; 10.1098/rsta.1997.0048
• Abeyaratne, Rohan and Knowles, James K. (1997) On the kinetics of an austenite → martensite phase transformation induced by impact in a Cu-Al-Ni shape-memory alloy; Acta Materialia; Vol. 45; No. 4; 1671-1683; 10.1016/S1359-6454(96)00276-5
• Knowles, James K. and Scott, Ronald F. (1995) On the decay of end-effects due to self-equilibrated loads; Journal of Elasticity; Vol. 41; No. 1; 73-76; 10.1007/BF00040763
• Knowles, James K. (1995) Dynamic thermoelastic phase transitions; International Journal of Solids and Structures; Vol. 32; No. 17-18; 2703-2710; 10.1016/0020-7683(94)00292-5
• Knowles, James K. (1995) On the Representation of the Elasticity Tensor for Isotropic Materials; Journal of Elasticity; Vol. 39; No. 2; 175-180; 10.1007/BF00043415
• Jiang, Q. and Knowles, J. K. (1995) A thermoelastic model for an experiment involving a solid-solid phase transition; Continuum Mechanics and Thermodynamics; Vol. 7; No. 1; 97-110; 10.1007/BF01175771
• Abeyaratne, Rohan and Knowles, James K. (1994) Dynamics of propagating phase boundaries: adiabatic theory for thermoelastic solids; Physica D; Vol. 79; No. 2-4; 269-288; 10.1016/S0167-2789(05)80008-9
• Abeyaratne, Rohan and Kim, Sang-Joon, et el. (1994) A one-dimensional continuum model for shape-memory alloys; International Journal of Solids and Structures; Vol. 31; No. 16; 2229-2249; 10.1016/0020-7683(94)90208-9
• Abeyaratne, Rohan and Knowles, James K. (1994) Dynamics of propagating phase boundaries: Thermoelastic solids with heat conduction; Archive for Rational Mechanics and Analysis; Vol. 126; No. 3; 203-230; 10.1007/BF00375642
• Abeyaratne, Rohan and Knowles, James K. (1993) A continuum model of a thermoelastic solid capable of undergoing phase transitions; Journal of the Mechanics and Physics of Solids; Vol. 41; No. 3; 541-571; 10.1016/0022-5096(93)90048-K
• Knowles, James K. (1992) On a minimization problem associated with linear dynamical systems; Linear Algebra and its Applications; Vol. 165; 173-184; 10.1016/0024-3795(92)90236-4
• Abeyaratne, Rohan and Knowles, James K. (1992) On the Propagation of Maximally Dissipative Phase Boundaries in Solids; Quarterly of Applied Mathematics; Vol. 50; No. 1; 149-172
• Abeyaratne, Rohan and Knowles, James K. (1992) Wave propagation in linear, bilinear and trilinear elastic bars; Wave Motion; Vol. 15; No. 1; 77-92; 10.1016/0165-2125(92)90006-N
• Abeyaratne, Rohan and Knowles, James K. (1991) Implications of Viscosity and Strain-Gradient Effects for the Kinetics of Propagating Phase Boundaries in Solids; SIAM Journal on Applied Mathematics; Vol. 51; No. 5; 1205-1221; 10.1137/0151061
• Jiang, Qing and Knowles, James K. (1991) A class of compressible elastic materials capable of sustaining finite anti-plane shear; Journal of Elasticity; Vol. 25; No. 3; 193-201; 10.1007/BF00040926
• Abeyaratne, Rohan and Knowles, James K. (1991) Kinetic relations and the propagation of phase boundaries in solids; Archive for Rational Mechanics and Analysis; Vol. 114; No. 2; 119-154; 10.1007/BF00375400
• Abeyaratne, Rohan and Knowles, James K. (1990) On the driving traction acting on a surface of strain discontinuity in a continuum; Journal of the Mechanics and Physics of Solids; Vol. 38; No. 3; 345-360; 10.1016/0022-5096(90)90003-M
• Abeyaratne, Rohan and Knowles, James K. (1989) Equilibrium shocks in plane deformations of incompressible elastic materials; Journal of Elasticity; Vol. 22; No. 2-3; 63-80; 10.1007/BF00041104
• Jiang, Qing and Knowles, James K. (1989) On the direct determination of the near-tip stress field for the scattering of SH-waves by a crack; International Journal of Fracture; Vol. 41; No. 4; 283-288; 10.1007/BF00018860
• Knowles, James K. (1989) Eli Sternberg Memoriam; Journal of Applied Mechanics; Vol. 56; No. 2; 239; 10.1115/1.3176073
• Abeyaratne, R. and Knowles, J. K. (1988) Unstable Elastic Materials and the Viscoelastic Response of Bars in Tension; Journal of Applied Mechanics; Vol. 55; No. 2; 491-492; 10.1115/1.3173707
• Abeyaratne, Rohan and Knowles, James K. (1988) On the dissipative response due to discontinuous strains in bars of unstable elastic material; International Journal of Solids and Structures; Vol. 24; No. 10; 1021-1044; 10.1016/0020-7683(88)90105-9
• Abeyaratne, Rohan and Knowles, James K. (1987) Non-elliptic elastic materials and the modeling of elastic-plastic behavior for finite deformation; Journal of the Mechanics and Physics of Solids; Vol. 35; No. 3; 343-365; 10.1016/0022-5096(87)90012-3
• Abeyaratne, Rohan and Knowles, James K. (1987) Non-elliptic elastic materials and the modeling of dissipative mechanical behavior: an example; Journal of Elasticity; Vol. 18; No. 3; 227-278; 10.1007/BF00044195
• Knowles, J. K. and Rosakis, A. J. (1986) On the Scale of the Nonlinear Effect in a Crack Problem; Journal of Applied Mechanics; Vol. 53; No. 3; 545-549; 10.1115/1.3171808
• Abeyaratne, Rohan and Knowles, James K. (1986) Path-independent integrals for the direct determination of stress intensity factors in certain classical crack problems; Journal of Elasticity; Vol. 16; No. 4; 431-440; 10.1007/BF00041766
• Knowles, James K. (1985) Remarks on a Question of Ericksen concerning Elastostatic Fields of Saint-Venant Type; Archive for Rational Mechanics and Analysis; Vol. 90; No. 3; 249-261; 10.1007/BF00251733
• Knowles, J. K. (1985) On damped linear dynamical systems; Archive of Applied Mechanics; Vol. 55; No. 5; 321-332
• Knowles, J. K. and Sternberg, Eli (1983) Large deformations near a tip of an interface-crack between two Neo-Hookean sheets; Journal of Elasticity; Vol. 13; No. 3; 257-293; 10.1007/BF00042997
• Knowles, James K. (1983) An Energy Estimate for the Biharmonic Equation and its Application to Saint-Venant's Principle in Plane Elastostatics; Indian Journal of Pure and Applied Mathematics; Vol. 14; No. 7; 791-805
• Horgan, Cornelius O. and Knowles, James K. (1983) Recent Developments Concerning Saint-Venant's Principle; Advances in Applied Mechanics; Vol. 23; 179-269; 10.1016/S0065-2156(08)70244-8
• Knowles, James K. (1981) A Note on the Energy Release Rate in Quasi-Static Elastic Crack Propagation; SIAM Journal on Applied Mathematics; Vol. 41; No. 3; 401-412; 10.1137/0141034
• Horgan, C. O. and Knowles, J. K. (1981) The effect of nonlinearity on a principle of Saint-Venant type; Journal of Elasticity; Vol. 11; No. 3; 271-291; 10.1007/BF00041940
• Knowles, J. K. and Sternberg, Eli (1981) Anti-plane shear fields with discontinuous deformation gradients near the tip of a crack in finite elastostatics; Journal of Elasticity; Vol. 11; No. 2; 129-164; 10.1007/BF00043857
• Knowles, James K. (1981) A nonlinear effect in mode II crack problems; Engineering Fracture Mechanics; Vol. 15; No. 3-4; 469-476; 10.1016/0013-7944(81)90072-2
• Knowles, J. K. and Sternberg, Eli (1980) Discontinuous deformation gradients near the tip of a crack in finite anti-plane shear: an example; Journal of Elasticity; Vol. 10; No. 1; 81-110; 10.1007/BF00043136
• Knowles, James K. (1979) On the dissipation associated with equilibrium shocks in finite elasticity; Journal of Elasticity; Vol. 9; No. 2; 131-158; 10.1007/BF00041322
• Sternberg, Eli and Knowles, J. K. (1979) On the existence of an elastic potential for a simple material without memory; Archive for Rational Mechanics and Analysis; Vol. 70; No. 1; 19-30; 10.1007/BF00276379
• Knowles, James K. (1979) Universal States of Finite Anti-Plane Shear: Ericksen's Problem in Miniature; American Mathematical Monthly; Vol. 86; No. 2; 109-113
• Knowles, J. K. and Sternberg, Eli (1978) On the failure of ellipticity and the emergence of discontinuous deformation gradients in plane finite elastostatics; Journal of Elasticity; Vol. 8; No. 4; 329-379; 10.1007/BF00049187
• Knowles, James K. (1977) The finite anti-plane shear field near the tip of a crack for a class of incompressible elastic solids; International Journal of Fracture; Vol. 13; No. 5; 611-639; 10.1007/BF00017296
• Knowles, James K. (1977) A Note on the Spatial Decay of a Minimal Surface Over a Semi-infinite Strip; Journal of Mathematical Analysis and Applictions; Vol. 59; No. 1; 29-32; 10.1016/0022-247X(77)90090-7
• Knowles, James K. (1977) A note on anti-plane shear for compressible materials in finite elastostatics; Journal of the Australian Mathematical Society. Series B. Applied Mathematics; Vol. 20; No. 01; 1-7; 10.1017/S0334270000001399
• Knowles, J. K. and Sternberg, Eli (1976) On the failure of ellipticity of the equations for finite elastostatic plane strain; Archive for Rational Mechanics and Analysis; Vol. 63; No. 4; 321-336; 10.1007/BF00279991
• Knowles, J. K. and Sternberg, Eli (1975) On the ellipticity of the equations of nonlinear elastostatics for a special material; Journal of Elasticity; Vol. 5; No. 3-4; 341-361; 10.1007/BF00126996
• Knowles, J. K. and Sternberg, Eli (1974) Finite-deformation analysis of the elastostatic field near the tip of a crack: Reconsideration and higher-order results; Journal of Elasticity; Vol. 4; No. 3; 201-233; 10.1007/BF00049265
• Knowles, J. K. and Sternberg, Eli (1972) On a class of conservation laws in linearized and finite elastostatics; Archive for Rational Mechanics and Analysis; Vol. 44; No. 3; 187-211; 10.1007/BF00250778
• Knowles, James K. (1971) On the spatial decay of solutions of the heat equation; Zeitschrift für angewandte Mathematik und Physik ZAMP; Vol. 22; No. 6; 1050-1056; 10.1007/BF01590873
• Jeffers, R. F. and Knowles, J. K. (1971) A Potential Representation for Two-Dimensional Waves in Elastic Materials of Harmonic Type; Quarterly of Applied Mathematics; Vol. 29; No. 3; 449-452
• Horgan, C. O. and Knowles, J. K. (1971) Eigenvalue problems associated with Korn's inequalities; Archive for Rational Mechanics and Analysis; Vol. 40; No. 5; 384-402; 10.1007/BF00251798
• Ho, Chee-Leung and Knowles, James K. (1970) Energy inequalities and error estimates for torsion of elastic shells of revolution; Zeitschrift für angewandte Mathematik und Physik ZAMP; Vol. 21; No. 3; 352-377; 10.1007/BF01627942
• Knowles, J. K. and Horgan, C. O. (1969) On the exponential decay of stresses in circular elastic cylinders subject to axisymmetric self-equilibrated end loads; International Journal of Solids and Structures; Vol. 5; No. 1; 33-50; 10.1016/0020-7683(69)90067-5
• Knowles, J. K. (1968) Propagation of One‐Dimensional Waves from a Source in Random Motion; Journal of the Acoustical Society of America; Vol. 43; No. 5; 948-957; 10.1121/1.1910964
• Knowles, J. K. (1968) On the Dynamic Response of a Beam to a Randomly Moving Load; Journal of Applied Mechanics; Vol. 35; No. 1; 1-6; 10.1115/1.3601165
• Knowles, J. K. (1967) The Dirichlet problem for a thin rectangle; Proceedings of the Edinburgh Mathematical Society; Vol. 15; No. 4; 315-320; 10.1017/S0013091500011974
• Knowles, James K. (1967) A Saint-Venant principle for a class of second-order elliptic boundary value problems; Zeitschrift für angewandte Mathematik und Physik; Vol. 18; No. 4; 473-490; 10.1007/BF01601718
• Knowles, J. K. (1966) A note on elastic surface waves; Journal of Geophysical Research; Vol. 71; No. 22; 5480-5481; 10.1029/JZ071i022p05480
• Sternberg, Eli and Knowles, James K. (1966) Minimum energy characterizations of Saint-Venant's solution to the relaxed Saint-Venant problem; Archive for Rational Mechanics and Analysis; Vol. 21; No. 2; 89-107; 10.1007/BF00266569
• Knowles, James K. and Sternberg, Eli (1966) On Saint-Venant's principle and the torsion of solids of revolution; Archive for Rational Mechanics and Analysis; Vol. 22; No. 2; 100-120; 10.1007/BF00276511
• Knowles, James K. (1966) On Saint-Venant's principle in the two-dimensional linear theory of elasticity; Archive for Rational Mechanics and Analysis; Vol. 21; No. 1; 1-22; 10.1007/BF00253046