A Product
Property of Sobolev Spaces with Application to Elliptic Estimates
(with H. C. Simpson).
ABSTRACT
On
the stability of incompressible elastic cylinders in uniaxial
extension, J. Elasticity (2011). DOI:
10.1007/s10659-011-9330-9 (with J. Sivaloganathan). ABSTRACT
On
irregular weak solutions of the energy–momentum equations,
Proc. Royal Soc. Edinburgh 141A (2011), 193-203 (with
J. Sivaloganathan).
ABSTRACT
On
the global stability of incompressible elastic bars in
uniaxial extension, Proc. Royal Soc. Lond. Ser. A 466
(2010), 1167--1176 (with J. Sivaloganathan).
ABSTRACT MR 2011c:74064
On the
symmetry of energy minimising deformations in nonlinear elasticity II:
Compressible materials, Arch. Ration. Mech. Anal.
196 (2010), 395--431 (with J. Sivaloganathan).
ABSTRACT
On the
symmetry of energy minimising deformations in nonlinear elasticity I:
Incompressible materials, Arch. Ration. Mech. Anal. 196
(2010), 363--394 (with J. Sivaloganathan).
ABSTRACT
Applications
of estimates near the boundary to regularity of solutions
in linearized elasticity, SIAM J. Math. Anal. 41
(2009), 923--935 (with H. C. Simpson).
ABSTRACT MR 2011c:35137
Energy
minimising properties of the radial cavitation solution in
incompressible nonlinear elasticity, J. Elasticity 93
(2008), 177-187 (with J. Sivaloganathan).
ABSTRACT MR 2010a:74012
On bifurcation in
finite elasticity: Buckling of a rectangular rod, J.
Elasticity 92 (2008), 277-326 (with H. C. Simpson).
ABSTRACT MR 2009e:74017.
Necessary
conditions for a minimum at a radial cavitating
singularity in nonlinear elasticity, Anal. Non Linéaire
25 (2008), 201-213 (with J. Sivaloganathan).
ABSTRACT MR 2009c:74012.
A Variational
Approach to Modelling Initiation of Fracture in Nonlinear Elasticity,
IUTAM Symposium on Asymptotics, Singularities
and Homogenisation in Problems of
Mechanics (A. B. Movchan, ed.), Springer,
2004, pp. 295-306 (with J. Sivaloganathan).
ABSTRACT
The
convergence of regularized minimizers
for cavitation problems in nonlinear elasticity, SIAM J. Appl.
Math 66 (2006), 736-757 (with J. Sivaloganathan and V. Tilakraj).
ABSTRACT MR 2007m:74055.
Myriad
radial cavitating equilibria in nonlinear elasticity,
SIAM J. Appl. Math. 63 (2003), 1461-1473 (with J.
Sivaloganathan). MR 2005c:74009.
On
cavitation, configurational forces and implications for
fracture in a nonlinearly elastic material, J. Elasticity 67
(2002), 25-49 (with J. Sivaloganathan).
ABSTRACT MR 2004e:74037.
A construction of
infinitely many singular weak solutions to the equations of nonlinear
elasticity, Proc. Royal Soc. Edinburgh 132A (2002),
985-992 (with J. Sivaloganathan). MR 2003f:74004.
An explicit
radial cavitation solution in nonlinear elasticity,
Math. Mech. Solids 7 (2002), 87-93 (with K. A. Pericak-Spector
and J. Sivaloganathan). MR 2003c:74008.
On
the existence of minimizers with prescribed singular points in
nonlinear elasticity, J. Elasticity 59 (2000),
83-113 (with J. Sivaloganathan).
ABSTRACT MR 2002h:74013.
On
the optimal location of singularities arising in variational
problems of nonlinear elasticity, J. Elasticity 58
(2000), 191-224 (with J. Sivaloganathan).
ABSTRACT MR 2002d:74006.
The
representation theorem for linear, isotropic tensor functions in even
dimensions, J. Elasticity 57 (1999), 157-164 (with
K. A. Pericak-Spector and J. Sivaloganathan). MR 2001i:74005.
An
isoperimetric estimate and W1,p-
quasiconvexity in nonlinear elasticity, Calc. Var. Partial
Differential Equations 8 (1999), 159-176 (with S. Müller
and J. Sivaloganathan). MR 2000c:74023.
Dynamic cavitation with shocks in
nonlinear elasticity, Proc. Royal Soc. Edinburgh. 127A
(1997), 837-857 (with K. A. Pericak-Spector). MR 98j:73028.
Invertibility and a topological
property of Sobolev maps, SIAM J. Math. Anal. 27 (1996),
959-976 (with S. Müller and Q. Tang). MR 97e:46041.
An existence theory for nonlinear
elasticity that allows for cavitation, Arch. Rational Mech. Anal.
131 (1995), 1-66 (with S. Müller).
Featured Review - MR 96h:73017.
On the representation theorem for linear,
isotropic tensor functions, J. Elasticity 39 (1995),
181-185 (with K. A. Pericak-Spector). MR 96g:73005.
Linear deformations as global
minimizers in nonlinear elasticity, Q. Appl. Math. 52
(1994), 59-64. MR 94m:73026.
Existence of singular minimizers
in three-dimensional nonlinear elasticity, Workshop on the Mathematical
Theory of Nonlinear and Inelastic Material Behaviour, Darmstadt,
Germany, May 25-27, 1992 (ed. H.-D. Alber), Bonner Mathematische
Schriften 239 (1993), 21-31 (with S. Müller). MR 95i:73029.
Remarks on W1,p-quasiconvexity,
interpenetration of matter, and function spaces for elasticity,
Anal. Non Linéaire 9 (1992), 263-280 (with R. D. James).
MR 93h:73013.
The formation of filamentary voids in solids,
J. Mech. Phys. Solids 39 (1991), 783-813 (with R. D. James). MR
93d:73059.
Some necessary conditions at an
internal boundary for minimizers in finite elasticity, J.
Elasticity 26 (1991), 203-122 (with H. C. Simpson). MR 93g:73071.
Necessary conditions at the
boundary for minimizers in finite elasticity, Arch. Rational
Mech. Anal. 107 (1989), 105-125 (with H. C. Simpson) MR
90i:73057.
Nonuniqueness for a hyperbolic
system: Cavitation in nonlinear elastodynamics, Arch. Rational
Mech. Anal. 101 (1988), 293-317 (with K. A. Pericak-Spector) MR
89e:73013.
On the positivity of the second variation in
finite elasticity, Arch. Rational Mech. Anal. 98 (1987),
1-30 (with H. C. Simpson). MR 88i:73033.
On the failure of the
complementing
condition and nonuniqueness in linear elastostatics, J.
Elasticity 15 (1985), 229-231 (with H. C. Simpson). MR
86m:73011.
On the absence of bifurcation for
elastic bars in uniaxial tension, Arch. Rational Mech. Anal.
85 (1984), 171-199. MR 85c:73038.
On barrelling for a special
material in finite elasticity, Q. Appl. Math. 42 (1984),
99-111 (with H. C. Simpson). MR 85e:73031.
Some monotonicity results for
ratios of modified Bessel functions, Q. Appl. Math. 42
(1984), 95-98 (with H. C. Simpson). MR 85d:33021.
On barrelling instabilities in
finite elasticity, J. Elasticity 14 (1984), 103-125 (with
H. C. Simpson). MR 85m:73028.
On copositive matrices and strong ellipticity for
isotropic elastic materials, Arch. Rational Mech. Anal. 84
(1983), 55-68 (with H. C. Simpson). MR 84m:73018.
On uniqueness for the traction problem in finite
elasticity, J. Elasticity 12 (1982), 367-383. MR
84d:73038.
On Gibbs stability in the classical theory of
fluid mixtures, ZAMP 32 (1981), 286-295. MR 82i:80003.
On monotonicity of the optimal strain path in
linear viscoelasticity, Q. Appl. Math. 38 (1980), 369-372
MR 82c:73035.
On uniqueness and bifurcation in nonlinear
viscoelasticity, Arch. Rational Mech. Anal. 72 (1980),
303-313 (with M. E. Gurtin and D. W. Reynolds). MR 80k:73038.
On continuous dependence in finite elasticity,
Q. Appl. Math. 38 (1980), 135-138. MR 81f:73020.
On uniqueness in finite elasticity with general
loading, J. Elasticity 10 (1980), 145-161. MR 81g:73059.
On stability and uniqueness in finite elasticity,
Arch. Rational Mech. Anal. 70 (1979), 153-165 (with M. E.
Gurtin). MR 80j:73022.
On the sign of the specific heat, Q. J.
Mech. Appl. Math. 29, (1976), 493-497 (with M. E. Gurtin). MR 55
#7142.
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