<h1>Knowles, James K.</h1>
<h2>Article from <a href="https://authors.library.caltech.edu">CaltechAUTHORS</a></h2>
<ul>
<li>Abeyaratne, Rohan and Knowles, James K. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110621-110113923">Discrete and continuous scalar conservation laws</a>; Mathematics and Mechanics of Solids; Vol. 16; No. 3; 283-303; <a href="https://doi.org/10.1177/1081286510382821">10.1177/1081286510382821</a></li>
<li>Knowles, James K. (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100121-141205723">On Maximally Dissipative Shock Waves in Nonlinear Elasticity</a>; Journal of Elasticity; Vol. 98; No. 1; 13-23; <a href="https://doi.org/10.1007/s10659-009-9221-5">10.1007/s10659-009-9221-5</a></li>
<li>Knowles, James K. (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141021-095011345">On the structure of the Hugoniot relation for a shock-induced martensitic phase transition</a>; Shock Waves; Vol. 17; No. 6; 421-432; <a href="https://doi.org/10.1007/s00193-008-0119-0">10.1007/s00193-008-0119-0</a></li>
<li>Knowles, James K. (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141021-090916484">On entropy conditions and traffic flow models</a>; ZAMM - Journal of Applied Mathematics; Vol. 88; No. 1; 64-73; <a href="https://doi.org/10.1002/zamm.200700093">10.1002/zamm.200700093</a></li>
<li>Knowles, James K. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100503-101804312">On shock waves in solids</a>; Discreet and Continuous Dynamical Systems Series B; Vol. 7; No. 3; 573-580</li>
<li>Knowles, James K. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141023-145404563">Driving force and kinetic relations for scalar conservation laws</a>; Journal of Hyperbolic Differential Equations; Vol. 4; No. 1; 19-38; <a href="https://doi.org/10.1142/S0219891607001057">10.1142/S0219891607001057</a></li>
<li>Knowles, James K. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141021-091907527">On the approximation of damped linear dynamical systems</a>; Structural Control and Health Monitoring; Vol. 13; No. 1; 324-335; <a href="https://doi.org/10.1002/stc.130">10.1002/stc.130</a></li>
<li>Housner, George W. and Knowles, James K., el al. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141021-092758564">Preface</a>; Structural Control and Health Monitoring; Vol. 13; No. 1; 1-6; <a href="https://doi.org/10.1002/stc.151">10.1002/stc.151</a></li>
<li>Knowles, James K. (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141023-074425429">On shock waves in a special class of thermoelastic solids</a>; International Journal of Non-Linear Mechanics; Vol. 40; No. 2-3; 387-394; <a href="https://doi.org/10.1016/j.ijnonlinmec.2004.08.001">10.1016/j.ijnonlinmec.2004.08.001</a></li>
<li>Knowles, James K. (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141023-074114376">Sudden tensile loading of a rubberlike bar</a>; Mechanics Research Communications; Vol. 30; No. 6; 581-587; <a href="https://doi.org/10.1016/S0093-6413(03)00070-3">10.1016/S0093-6413(03)00070-3</a></li>
<li>Knowles, J. K. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141021-093341465">On the relation between particle velocity and shock wave speed for thermoelastic materials</a>; Shock Waves; Vol. 12; No. 2; 137-144; <a href="https://doi.org/10.1007/s00193-002-0146-1">10.1007/s00193-002-0146-1</a></li>
<li>Knowles, James K. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:KNOsiamjam02">Impact-induced tensile waves in a rubberlike material</a>; SIAM Journal on Applied Mathematics; Vol. 62; No. 4; 1153-1175; <a href="https://doi.org/10.1137/S0036139901388234">10.1137/S0036139901388234</a></li>
<li>Abeyaratne, Rohan and Knowles, James K. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141021-100558200">Elastic Materials with Two Stress-Free Configurations</a>; Journal of Elasticity; Vol. 67; No. 1; 61-69; <a href="https://doi.org/10.1023/A:1022545224008">10.1023/A:1022545224008</a></li>
<li>Knowles, James K. (2002) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20111110-095056685">Hysteresis in the Stress‐Cycling of Bars Undergoing Solid–Solid Phase Transitions</a>; Quarterly Journal of Mechanics and Applied Mathematics; Vol. 55; No. 1; 69-91; <a href="https://doi.org/10.1093/qjmam/55.1.69">10.1093/qjmam/55.1.69</a></li>
<li>Abeyaratne, R. and Knowles, J. K. (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141021-112510693">A note on the driving traction acting on a propagating interface: Adiabatic and non-adiabatic processes of a continuum</a>; Journal of Applied Mechanics; Vol. 67; No. 4; 829-831; <a href="https://doi.org/10.1115/1.1308577">10.1115/1.1308577</a></li>
<li>Abeyaratne, Rohan and Knowles, James K. (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141021-100236468">A phenomenological model for failure waves in glass</a>; Shock Waves; Vol. 10; No. 4; 301-305; <a href="https://doi.org/10.1007/s001930000056">10.1007/s001930000056</a></li>
<li>Abeyaratne, Rohan and Knowles, James K. (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141021-073017252">On a shock-induced martensitic phase transition</a>; Journal of Applied Physics; Vol. 87; No. 3; 1123-1134; <a href="https://doi.org/10.1063/1.371989">10.1063/1.371989</a></li>
<li>Chen, G. Q. and Ahrens, T. J., el al. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141021-124357929">Effect of irreversible phase change on shock-wave propagation</a>; Journal of the Mechanics and Physics of Solids; Vol. 47; No. 4; 763-783; <a href="https://doi.org/10.1016/S0022-5096(98)00090-8">10.1016/S0022-5096(98)00090-8</a></li>
<li>Rosakis, Phoebus and Knowles, James K. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141021-110039001">Continuum models for irregular phase boundary motion in shape-memory tensile bars</a>; European Journal of Mechanics - A/Solids; Vol. 18; No. 1; 1-16; <a href="https://doi.org/10.1016/S0997-7538(99)80001-1">10.1016/S0997-7538(99)80001-1</a></li>
<li>Knowles, J. K. (1999) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141023-090542578">Stress-induced phase transitions in elastic solids</a>; Computational Mechanics; Vol. 22; No. 6; 429-436; <a href="https://doi.org/10.1007/s004660050376">10.1007/s004660050376</a></li>
<li>Abeyaratne, Rohan and Knowles, James K. (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141023-155158386">On the stability of thermoelastic materials</a>; Journal of Elasticity; Vol. 53; No. 3; 199-213; <a href="https://doi.org/10.1023/A:1007513631783">10.1023/A:1007513631783</a></li>
<li>Abeyaratne, Rohan and Knowles, James K. (1997) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141024-152623996">On an integrodifferential equation arising in a theory of phase transitions in solids</a>; Quarterly of Applied Mathematics; Vol. 55; No. 4; 761-767</li>
<li>Rosakis, Phoebus and Knowles, James K. (1997) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141022-084738427">Unstable kinetic relations and the dynamics of solid-solid phase transitions</a>; Journal of the Mechanics and Physics of Solids; Vol. 45; No. 11-12; 2055-2081; <a href="https://doi.org/10.1016/S0022-5096(97)00026-4">10.1016/S0022-5096(97)00026-4</a></li>
<li>Knowles, James K. and Winfree, Nancy A., el al. (1997) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141023-084053866">Dynamically Induced Phase Transitions and the Modeling of Comminution in Brittle Solids</a>; Mathematics and Mechanics of Solids; Vol. 2; No. 2; 99-116; <a href="https://doi.org/10.1177/108128659700200201">10.1177/108128659700200201</a></li>
<li>Abeyaratne, Rohan and Knowles, James K. (1997) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141021-102050630">Impact-induced phase transitions in thermoelastic solids</a>; Philosophical Transactions A: Mathematical, Physical and Engineering Sciences; Vol. 355; No. 1726; 843-867; <a href="https://doi.org/10.1098/rsta.1997.0048">10.1098/rsta.1997.0048</a></li>
<li>Abeyaratne, Rohan and Knowles, James K. (1997) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141022-084130812">On the kinetics of an austenite → martensite phase transformation induced by impact in a Cu-Al-Ni shape-memory alloy</a>; Acta Materialia; Vol. 45; No. 4; 1671-1683; <a href="https://doi.org/10.1016/S1359-6454(96)00276-5">10.1016/S1359-6454(96)00276-5</a></li>
<li>Knowles, James K. and Scott, Ronald F. (1995) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141020-151253996">On the decay of end-effects due to self-equilibrated loads</a>; Journal of Elasticity; Vol. 41; No. 1; 73-76; <a href="https://doi.org/10.1007/BF00040763">10.1007/BF00040763</a></li>
<li>Knowles, James K. (1995) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141021-120725895">Dynamic thermoelastic phase transitions</a>; International Journal of Solids and Structures; Vol. 32; No. 17-18; 2703-2710; <a href="https://doi.org/10.1016/0020-7683(94)00292-5">10.1016/0020-7683(94)00292-5</a></li>
<li>Knowles, James K. (1995) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141024-141244096">On the Representation of the Elasticity Tensor for Isotropic Materials</a>; Journal of Elasticity; Vol. 39; No. 2; 175-180; <a href="https://doi.org/10.1007/BF00043415">10.1007/BF00043415</a></li>
<li>Jiang, Q. and Knowles, J. K. (1995) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141029-133257223">A thermoelastic model for an experiment involving a solid-solid phase transition</a>; Continuum Mechanics and Thermodynamics; Vol. 7; No. 1; 97-110; <a href="https://doi.org/10.1007/BF01175771">10.1007/BF01175771</a></li>
<li>Abeyaratne, Rohan and Knowles, James K. (1994) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141024-102313946">Dynamics of propagating phase boundaries: adiabatic theory for thermoelastic solids</a>; Physica D; Vol. 79; No. 2-4; 269-288; <a href="https://doi.org/10.1016/S0167-2789(05)80008-9">10.1016/S0167-2789(05)80008-9</a></li>
<li>Abeyaratne, Rohan and Kim, Sang-Joon, el al. (1994) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141021-111150545">A one-dimensional continuum model for shape-memory alloys</a>; International Journal of Solids and Structures; Vol. 31; No. 16; 2229-2249; <a href="https://doi.org/10.1016/0020-7683(94)90208-9">10.1016/0020-7683(94)90208-9</a></li>
<li>Abeyaratne, Rohan and Knowles, James K. (1994) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141021-154813217">Dynamics of propagating phase boundaries: Thermoelastic solids with heat conduction</a>; Archive for Rational Mechanics and Analysis; Vol. 126; No. 3; 203-230; <a href="https://doi.org/10.1007/BF00375642">10.1007/BF00375642</a></li>
<li>Abeyaratne, Rohan and Knowles, James K. (1993) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141021-123729357">A continuum model of a thermoelastic solid capable of undergoing phase transitions</a>; Journal of the Mechanics and Physics of Solids; Vol. 41; No. 3; 541-571; <a href="https://doi.org/10.1016/0022-5096(93)90048-K">10.1016/0022-5096(93)90048-K</a></li>
<li>Knowles, James K. (1992) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141021-101021488">On a minimization problem associated with linear dynamical systems</a>; Linear Algebra and its Applications; Vol. 165; 173-184; <a href="https://doi.org/10.1016/0024-3795(92)90236-4">10.1016/0024-3795(92)90236-4</a></li>
<li>Abeyaratne, Rohan and Knowles, James K. (1992) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141024-154040051">On the Propagation of Maximally Dissipative Phase Boundaries in Solids</a>; Quarterly of Applied Mathematics; Vol. 50; No. 1; 149-172</li>
<li>Abeyaratne, Rohan and Knowles, James K. (1992) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141021-103958370">Wave propagation in linear, bilinear and trilinear elastic bars</a>; Wave Motion; Vol. 15; No. 1; 77-92; <a href="https://doi.org/10.1016/0165-2125(92)90006-N">10.1016/0165-2125(92)90006-N</a></li>
<li>Abeyaratne, Rohan and Knowles, James K. (1991) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141021-102900385">Implications of Viscosity and Strain-Gradient Effects for the Kinetics of Propagating Phase Boundaries in Solids</a>; SIAM Journal on Applied Mathematics; Vol. 51; No. 5; 1205-1221; <a href="https://doi.org/10.1137/0151061">10.1137/0151061</a></li>
<li>Jiang, Qing and Knowles, James K. (1991) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141029-083432015">A class of compressible elastic materials capable of sustaining finite anti-plane shear</a>; Journal of Elasticity; Vol. 25; No. 3; 193-201; <a href="https://doi.org/10.1007/BF00040926">10.1007/BF00040926</a></li>
<li>Abeyaratne, Rohan and Knowles, James K. (1991) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141021-141408927">Kinetic relations and the propagation of phase boundaries in solids</a>; Archive for Rational Mechanics and Analysis; Vol. 114; No. 2; 119-154; <a href="https://doi.org/10.1007/BF00375400">10.1007/BF00375400</a></li>
<li>Abeyaratne, Rohan and Knowles, James K. (1990) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141021-113953976">On the driving traction acting on a surface of strain discontinuity in a continuum</a>; Journal of the Mechanics and Physics of Solids; Vol. 38; No. 3; 345-360; <a href="https://doi.org/10.1016/0022-5096(90)90003-M">10.1016/0022-5096(90)90003-M</a></li>
<li>Abeyaratne, Rohan and Knowles, James K. (1989) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141031-104535753">Equilibrium shocks in plane deformations of incompressible elastic materials</a>; Journal of Elasticity; Vol. 22; No. 2-3; 63-80; <a href="https://doi.org/10.1007/BF00041104">10.1007/BF00041104</a></li>
<li>Jiang, Qing and Knowles, James K. (1989) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141103-103118611">On the direct determination of the near-tip stress field for the scattering of SH-waves by a crack</a>; International Journal of Fracture; Vol. 41; No. 4; 283-288; <a href="https://doi.org/10.1007/BF00018860">10.1007/BF00018860</a></li>
<li>Knowles, James K. (1989) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141103-103729493">Eli Sternberg Memoriam</a>; Journal of Applied Mechanics; Vol. 56; No. 2; 239; <a href="https://doi.org/10.1115/1.3176073">10.1115/1.3176073</a></li>
<li>Abeyaratne, R. and Knowles, J. K. (1988) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141104-135257842">Unstable Elastic Materials and the Viscoelastic Response of Bars in Tension</a>; Journal of Applied Mechanics; Vol. 55; No. 2; 491-492; <a href="https://doi.org/10.1115/1.3173707">10.1115/1.3173707</a></li>
<li>Abeyaratne, Rohan and Knowles, James K. (1988) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141029-093857845">On the dissipative response due to discontinuous strains in bars of unstable elastic material</a>; International Journal of Solids and Structures; Vol. 24; No. 10; 1021-1044; <a href="https://doi.org/10.1016/0020-7683(88)90105-9">10.1016/0020-7683(88)90105-9</a></li>
<li>Abeyaratne, Rohan and Knowles, James K. (1987) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141112-121650858">Non-elliptic elastic materials and the modeling of elastic-plastic behavior for finite deformation</a>; Journal of the Mechanics and Physics of Solids; Vol. 35; No. 3; 343-365; <a href="https://doi.org/10.1016/0022-5096(87)90012-3">10.1016/0022-5096(87)90012-3</a></li>
<li>Abeyaratne, Rohan and Knowles, James K. (1987) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141029-132515351">Non-elliptic elastic materials and the modeling of dissipative mechanical behavior: an example</a>; Journal of Elasticity; Vol. 18; No. 3; 227-278; <a href="https://doi.org/10.1007/BF00044195">10.1007/BF00044195</a></li>
<li>Knowles, J. K. and Rosakis, A. J. (1986) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141103-084331857">On the Scale of the Nonlinear Effect in a Crack Problem</a>; Journal of Applied Mechanics; Vol. 53; No. 3; 545-549; <a href="https://doi.org/10.1115/1.3171808">10.1115/1.3171808</a></li>
<li>Abeyaratne, Rohan and Knowles, James K. (1986) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141103-094347047">Path-independent integrals for the direct determination of stress intensity factors in certain classical crack problems</a>; Journal of Elasticity; Vol. 16; No. 4; 431-440; <a href="https://doi.org/10.1007/BF00041766">10.1007/BF00041766</a></li>
<li>Knowles, James K. (1985) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151113-165202758">Remarks on a Question of Ericksen concerning Elastostatic Fields of Saint-Venant Type</a>; Archive for Rational Mechanics and Analysis; Vol. 90; No. 3; 249-261; <a href="https://doi.org/10.1007/BF00251733">10.1007/BF00251733</a></li>
<li>Knowles, J. K. (1985) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141104-095911928">On damped linear dynamical systems</a>; Archive of Applied Mechanics; Vol. 55; No. 5; 321-332</li>
<li>Knowles, J. K. and Sternberg, Eli (1983) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141104-100901137">Large deformations near a tip of an interface-crack between two Neo-Hookean sheets</a>; Journal of Elasticity; Vol. 13; No. 3; 257-293; <a href="https://doi.org/10.1007/BF00042997">10.1007/BF00042997</a></li>
<li>Knowles, James K. (1983) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141029-103545954">An Energy Estimate for the Biharmonic Equation and its Application to Saint-Venant's Principle in Plane Elastostatics</a>; Indian Journal of Pure and Applied Mathematics; Vol. 14; No. 7; 791-805</li>
<li>Horgan, Cornelius O. and Knowles, James K. (1983) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141104-131016828">Recent Developments Concerning Saint-Venant's Principle</a>; Advances in Applied Mechanics; Vol. 23; 179-269; <a href="https://doi.org/10.1016/S0065-2156(08)70244-8">10.1016/S0065-2156(08)70244-8</a></li>
<li>Knowles, James K. (1981) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20120718-120448789">A Note on the Energy Release Rate in Quasi-Static Elastic Crack Propagation</a>; SIAM Journal on Applied Mathematics; Vol. 41; No. 3; 401-412; <a href="https://doi.org/10.1137/0141034">10.1137/0141034</a></li>
<li>Horgan, C. O. and Knowles, J. K. (1981) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141104-103601635">The effect of nonlinearity on a principle of Saint-Venant type</a>; Journal of Elasticity; Vol. 11; No. 3; 271-291; <a href="https://doi.org/10.1007/BF00041940">10.1007/BF00041940</a></li>
<li>Knowles, J. K. and Sternberg, Eli (1981) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141103-094634483">Anti-plane shear fields with discontinuous deformation gradients near the tip of a crack in finite elastostatics</a>; Journal of Elasticity; Vol. 11; No. 2; 129-164; <a href="https://doi.org/10.1007/BF00043857">10.1007/BF00043857</a></li>
<li>Knowles, James K. (1981) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141031-110333179">A nonlinear effect in mode II crack problems</a>; Engineering Fracture Mechanics; Vol. 15; No. 3-4; 469-476; <a href="https://doi.org/10.1016/0013-7944(81)90072-2">10.1016/0013-7944(81)90072-2</a></li>
<li>Knowles, J. K. and Sternberg, Eli (1980) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141104-081003852">Discontinuous deformation gradients near the tip of a crack in finite anti-plane shear: an example</a>; Journal of Elasticity; Vol. 10; No. 1; 81-110; <a href="https://doi.org/10.1007/BF00043136">10.1007/BF00043136</a></li>
<li>Knowles, James K. (1979) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151109-153157919">On the dissipation associated with equilibrium shocks in finite elasticity</a>; Journal of Elasticity; Vol. 9; No. 2; 131-158; <a href="https://doi.org/10.1007/BF00041322">10.1007/BF00041322</a></li>
<li>Sternberg, Eli and Knowles, J. K. (1979) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151124-103624348">On the existence of an elastic potential for a simple material without memory</a>; Archive for Rational Mechanics and Analysis; Vol. 70; No. 1; 19-30; <a href="https://doi.org/10.1007/BF00276379">10.1007/BF00276379</a></li>
<li>Knowles, James K. (1979) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151110-152036919">Universal States of Finite Anti-Plane Shear: Ericksen's Problem in Miniature</a>; American Mathematical Monthly; Vol. 86; No. 2; 109-113</li>
<li>Knowles, J. K. and Sternberg, Eli (1978) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151106-101307186">On the failure of ellipticity and the emergence of discontinuous deformation gradients in plane finite elastostatics</a>; Journal of Elasticity; Vol. 8; No. 4; 329-379; <a href="https://doi.org/10.1007/BF00049187">10.1007/BF00049187</a></li>
<li>Knowles, James K. (1977) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20150728-111035202">The finite anti-plane shear field near the tip of a crack for a class of incompressible elastic solids</a>; International Journal of Fracture; Vol. 13; No. 5; 611-639; <a href="https://doi.org/10.1007/BF00017296">10.1007/BF00017296</a></li>
<li>Knowles, James K. (1977) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20150212-075135517">A Note on the Spatial Decay of a Minimal Surface Over a Semi-infinite Strip</a>; Journal of Mathematical Analysis and Applictions; Vol. 59; No. 1; 29-32; <a href="https://doi.org/10.1016/0022-247X(77)90090-7">10.1016/0022-247X(77)90090-7</a></li>
<li>Knowles, James K. (1977) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151109-153158189">A note on anti-plane shear for compressible materials in finite elastostatics</a>; Journal of the Australian Mathematical Society. Series B. Applied Mathematics; Vol. 20; No. 01; 1-7; <a href="https://doi.org/10.1017/S0334270000001399">10.1017/S0334270000001399</a></li>
<li>Knowles, J. K. and Sternberg, Eli (1976) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151124-104106498">On the failure of ellipticity of the equations for finite elastostatic plane strain</a>; Archive for Rational Mechanics and Analysis; Vol. 63; No. 4; 321-336; <a href="https://doi.org/10.1007/BF00279991">10.1007/BF00279991</a></li>
<li>Knowles, J. K. and Sternberg, Eli (1975) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151109-145649593">On the ellipticity of the equations of nonlinear elastostatics for a special material</a>; Journal of Elasticity; Vol. 5; No. 3-4; 341-361; <a href="https://doi.org/10.1007/BF00126996">10.1007/BF00126996</a></li>
<li>Knowles, J. K. and Sternberg, Eli (1974) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20150630-082317785">Finite-deformation analysis of the elastostatic field near the tip of a crack: Reconsideration and higher-order results</a>; Journal of Elasticity; Vol. 4; No. 3; 201-233; <a href="https://doi.org/10.1007/BF00049265">10.1007/BF00049265</a></li>
<li>Knowles, J. K. and Sternberg, Eli (1972) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151124-103510030">On a class of conservation laws in linearized and finite elastostatics</a>; Archive for Rational Mechanics and Analysis; Vol. 44; No. 3; 187-211; <a href="https://doi.org/10.1007/BF00250778">10.1007/BF00250778</a></li>
<li>Knowles, James K. (1971) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151124-104815023">On the spatial decay of solutions of the heat equation</a>; Zeitschrift für angewandte Mathematik und Physik ZAMP; Vol. 22; No. 6; 1050-1056; <a href="https://doi.org/10.1007/BF01590873">10.1007/BF01590873</a></li>
<li>Jeffers, R. F. and Knowles, J. K. (1971) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20150728-111652292">A Potential Representation for Two-Dimensional Waves in Elastic Materials of Harmonic Type</a>; Quarterly of Applied Mathematics; Vol. 29; No. 3; 449-452</li>
<li>Horgan, C. O. and Knowles, J. K. (1971) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151124-103729126">Eigenvalue problems associated with Korn's inequalities</a>; Archive for Rational Mechanics and Analysis; Vol. 40; No. 5; 384-402; <a href="https://doi.org/10.1007/BF00251798">10.1007/BF00251798</a></li>
<li>Ho, Chee-Leung and Knowles, James K. (1970) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151124-105106068">Energy inequalities and error estimates for torsion of elastic shells of revolution</a>; Zeitschrift für angewandte Mathematik und Physik ZAMP; Vol. 21; No. 3; 352-377; <a href="https://doi.org/10.1007/BF01627942">10.1007/BF01627942</a></li>
<li>Knowles, J. K. and Horgan, C. O. (1969) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151207-102452675">On the exponential decay of stresses in circular elastic cylinders subject to axisymmetric self-equilibrated end loads</a>; International Journal of Solids and Structures; Vol. 5; No. 1; 33-50; <a href="https://doi.org/10.1016/0020-7683(69)90067-5">10.1016/0020-7683(69)90067-5</a></li>
<li>Knowles, J. K. (1968) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141210-083930907">Propagation of One‐Dimensional Waves from a Source in Random Motion</a>; Journal of the Acoustical Society of America; Vol. 43; No. 5; 948-957; <a href="https://doi.org/10.1121/1.1910964">10.1121/1.1910964</a></li>
<li>Knowles, J. K. (1968) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151120-111330136">On the Dynamic Response of a Beam to a Randomly Moving Load</a>; Journal of Applied Mechanics; Vol. 35; No. 1; 1-6; <a href="https://doi.org/10.1115/1.3601165">10.1115/1.3601165</a></li>
<li>Knowles, J. K. (1967) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20151208-154823152">The Dirichlet problem for a thin rectangle</a>; Proceedings of the Edinburgh Mathematical Society; Vol. 15; No. 4; 315-320; <a href="https://doi.org/10.1017/S0013091500011974">10.1017/S0013091500011974</a></li>
<li>Knowles, James K. (1967) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141121-163033508">A Saint-Venant principle for a class of second-order elliptic boundary value problems</a>; Zeitschrift für angewandte Mathematik und Physik; Vol. 18; No. 4; 473-490; <a href="https://doi.org/10.1007/BF01601718">10.1007/BF01601718</a></li>
<li>Knowles, J. K. (1966) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20141110-095112867">A note on elastic surface waves</a>; Journal of Geophysical Research; Vol. 71; No. 22; 5480-5481; <a href="https://doi.org/10.1029/JZ071i022p05480">10.1029/JZ071i022p05480</a></li>
<li>Sternberg, Eli and Knowles, James K. (1966) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20150811-131727884">Minimum energy characterizations of Saint-Venant's solution to the relaxed Saint-Venant problem</a>; Archive for Rational Mechanics and Analysis; Vol. 21; No. 2; 89-107; <a href="https://doi.org/10.1007/BF00266569">10.1007/BF00266569</a></li>
<li>Knowles, James K. and Sternberg, Eli (1966) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20150811-132215439">On Saint-Venant's principle and the torsion of solids of revolution</a>; Archive for Rational Mechanics and Analysis; Vol. 22; No. 2; 100-120; <a href="https://doi.org/10.1007/BF00276511">10.1007/BF00276511</a></li>
<li>Knowles, James K. (1966) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20150811-130208259">On Saint-Venant's principle in the two-dimensional linear theory of elasticity</a>; Archive for Rational Mechanics and Analysis; Vol. 21; No. 1; 1-22; <a href="https://doi.org/10.1007/BF00253046">10.1007/BF00253046</a></li>
</ul>