-
1
-
-
0019477295
-
Discontinuous deformation gradients in the finite twisting of an incompressible elastic tube
-
Abeyaratne R. Discontinuous deformation gradients in the finite twisting of an incompressible elastic tube. J. Elasticity 11 (1981) 43-80
-
(1981)
J. Elasticity
, vol.11
, pp. 43-80
-
-
Abeyaratne, R.1
-
2
-
-
0020767332
-
An admissibility condition for equilibrium shocks in finite elasticity
-
Abeyaratne R. An admissibility condition for equilibrium shocks in finite elasticity. J. Elasticity 13 (1983) 175-184
-
(1983)
J. Elasticity
, vol.13
, pp. 175-184
-
-
Abeyaratne, R.1
-
3
-
-
0041402122
-
Strain-energy functions with multiple local minima: modeling phase transformations using finite thermoelasticity
-
Fu Y., and Ogden R.W. (Eds), Cambridge University Press
-
Abeyaratne R., Bhattacharya K., and Knowles J.K. Strain-energy functions with multiple local minima: modeling phase transformations using finite thermoelasticity. In: Fu Y., and Ogden R.W. (Eds). Nonlinear Elasticity: Theory and Application (2001), Cambridge University Press 433-490
-
(2001)
Nonlinear Elasticity: Theory and Application
, pp. 433-490
-
-
Abeyaratne, R.1
Bhattacharya, K.2
Knowles, J.K.3
-
5
-
-
33744831315
-
-
Eremeyev, V.A., Freidin, A.B., Sharipova, L.L., 2002. On nonuniqueness and stability of centrally symmetric two phase deformations. In: Proceedings of the XXIX Summer School "Advanced Problems in Mechanics" (APM2002), St. Petersburg, IPME RAS, pp. 73-83.
-
-
-
-
7
-
-
33744803584
-
-
Eremeyev, V.A., Freidin, A.B., Sharipova, L.L., in press. On stability of equilibrium two-phase elastic bodies. Journal of Applied Mathematics and Mechanics.
-
-
-
-
8
-
-
0016569455
-
Equilibrium of bars
-
Ericksen J.L. Equilibrium of bars. J. Elasticity 5 (1975) 191-201
-
(1975)
J. Elasticity
, vol.5
, pp. 191-201
-
-
Ericksen, J.L.1
-
9
-
-
0001826268
-
The force on an elastic singularity
-
Eshelby J.D. The force on an elastic singularity. Philos. Trans. Roy. Soc. A 244 (1951) 87-111
-
(1951)
Philos. Trans. Roy. Soc. A
, vol.244
, pp. 87-111
-
-
Eshelby, J.D.1
-
10
-
-
20444369477
-
The continuum theory of lattice defects
-
Academic Press, New York pp. 79-144
-
Eshelby J.D. The continuum theory of lattice defects. Solid State Physics vol. 3 (1956), Academic Press, New York pp. 79-144
-
(1956)
Solid State Physics
, vol.3
-
-
Eshelby, J.D.1
-
11
-
-
0016576296
-
The elastic energy-momentum tensor
-
Eshelby J.D. The elastic energy-momentum tensor. J. Elasticity 5 (1975) 321-335
-
(1975)
J. Elasticity
, vol.5
, pp. 321-335
-
-
Eshelby, J.D.1
-
12
-
-
0024941657
-
The Maxwell relation and Eshelby's conservation law for minimizers in elasticity theory
-
Fosdick R.L., and Hertog B. The Maxwell relation and Eshelby's conservation law for minimizers in elasticity theory. J. Elasticity 22 (1989) 193-200
-
(1989)
J. Elasticity
, vol.22
, pp. 193-200
-
-
Fosdick, R.L.1
Hertog, B.2
-
13
-
-
0019559605
-
The elastica and the problem of pure bending for a non-convex stored energy function
-
Fosdick R.L., and James R.D. The elastica and the problem of pure bending for a non-convex stored energy function. J. Elasticity 11 (1981) 165-186
-
(1981)
J. Elasticity
, vol.11
, pp. 165-186
-
-
Fosdick, R.L.1
James, R.D.2
-
14
-
-
0020881931
-
Helical shear of an elastic, circular tube with a non-convex stored energy
-
Fosdick R.L., and MacSithigh G. Helical shear of an elastic, circular tube with a non-convex stored energy. Arch. Rational Mech. Anal 84 (1983) 31-53
-
(1983)
Arch. Rational Mech. Anal
, vol.84
, pp. 31-53
-
-
Fosdick, R.L.1
MacSithigh, G.2
-
15
-
-
21144481571
-
The torsion problem for a nonconvex stored energy function
-
Fosdick R.L., and Zhang Y. The torsion problem for a nonconvex stored energy function. Arch. Rational Mech. Anal. 122 (1993) 291-322
-
(1993)
Arch. Rational Mech. Anal.
, vol.122
, pp. 291-322
-
-
Fosdick, R.L.1
Zhang, Y.2
-
16
-
-
0009787748
-
Coexistent phase mixtures in the antiplane shear of an elastic tube
-
Fosdick R.L., and Zhang Y. Coexistent phase mixtures in the antiplane shear of an elastic tube. ZAMP 45 (1994) 202-244
-
(1994)
ZAMP
, vol.45
, pp. 202-244
-
-
Fosdick, R.L.1
Zhang, Y.2
-
17
-
-
0343190798
-
A structured phase transition for the antiplane shear of an elastic circular tube
-
Fosdick R.L., and Zhang Y. A structured phase transition for the antiplane shear of an elastic circular tube. Q. J. Mech. Appl. Math. 48 (1995) 189-210
-
(1995)
Q. J. Mech. Appl. Math.
, vol.48
, pp. 189-210
-
-
Fosdick, R.L.1
Zhang, Y.2
-
18
-
-
0009767448
-
Stress and the moment-twist relation in the torsion of a cylinder with a nonconvex stored energy function
-
Fosdick R.L., and Zhang Y. Stress and the moment-twist relation in the torsion of a cylinder with a nonconvex stored energy function. ZAMP 46 (1995) 146-171
-
(1995)
ZAMP
, vol.46
, pp. 146-171
-
-
Fosdick, R.L.1
Zhang, Y.2
-
19
-
-
33744796928
-
-
Freidin, A.B., 1997. Heterogeneous deformation of elastic solids due to multiple appearance of new phase layers. In: Proceedings of the 1st International Seminar "Actual Problems of Strength", 15-18 October 1997, Novgorod, Russia, vol. 1, pp. 236-240 (in Russian).
-
-
-
-
20
-
-
33744810738
-
-
Freidin, A.B., 2000. On phase equilibrium in nonlinear elastic materials. Nonlinear problems of continuum mechanics. Izvestia Vuzov. North-Caucasus region. Special Issue, pp. 150-168 (in Russian).
-
-
-
-
21
-
-
17144369618
-
Phase transition zones in nonlinear elastic isotropic materials. Part 1: Basic relations
-
Freidin A.B., and Chiskis A.M. Phase transition zones in nonlinear elastic isotropic materials. Part 1: Basic relations. Mech. Solids (Izvestia RAN, Mekhanika Tverdogo Tela) 29 4 (1994) 91-109
-
(1994)
Mech. Solids (Izvestia RAN, Mekhanika Tverdogo Tela)
, vol.29
, Issue.4
, pp. 91-109
-
-
Freidin, A.B.1
Chiskis, A.M.2
-
22
-
-
17144428189
-
Phase transition zones in nonlinear elastic isotropic materials. Part 2: Incompressible materials with a potential depending on one of deformation invariants
-
Freidin A.B., and Chiskis A.M. Phase transition zones in nonlinear elastic isotropic materials. Part 2: Incompressible materials with a potential depending on one of deformation invariants. Mech. Solids (Izvestia RAN, Mekhanika Tverdogo Tela) 20 5 (1994) 46-58
-
(1994)
Mech. Solids (Izvestia RAN, Mekhanika Tverdogo Tela)
, vol.20
, Issue.5
, pp. 46-58
-
-
Freidin, A.B.1
Chiskis, A.M.2
-
23
-
-
33744811001
-
-
Freidin, A.B., Sharipova, L.L., 2003. Equilibrium two-phase deformations and phase transitions zones within framework of small strains, Nonlinear problems of continuum mechanics. Izvestia Vuzov. North-Caucasus region, pp. 291-299 (in Russian).
-
-
-
-
24
-
-
33744828370
-
-
Freidin, A.B., Sharipova, L.L., in press. On a model of heterogenous deformation of elastic bodies by the mechanism of multiple appearances of new phase layers. Meccanica.
-
-
-
-
25
-
-
33744807586
-
-
Freidin, A.B., Vilchevskaya, E.N., 2002. Phase transition zones for one class of nonlinear elastic materials. In: Proceedings of the XXIX Summer School "Actual Problems in Mechanics" (APM 2002), St. Petersburg, IPME RAS, pp. 43-44.
-
-
-
-
27
-
-
33744807314
-
-
Fu, Y.B., Brookes, D.W., in press. An explicit expression for the surface-impedance tensor of a generally anisotropic compressible elastic material in a state of plane strain. IMA J. Appl. Math.
-
-
-
-
28
-
-
17144371835
-
Characterization and stability of two-phase piecewise-homogeneous deformations
-
Fu Y.B., and Freidin A.B. Characterization and stability of two-phase piecewise-homogeneous deformations. Proc. Roy. Soc. Lond. A 460 (2004) 3065-3094
-
(2004)
Proc. Roy. Soc. Lond. A
, vol.460
, pp. 3065-3094
-
-
Fu, Y.B.1
Freidin, A.B.2
-
29
-
-
0040493560
-
On conditions of thermodynamic equilibrium of the phases of a nonlinear elastic material
-
Grinfeld M.A. On conditions of thermodynamic equilibrium of the phases of a nonlinear elastic material. Dokl. Acad. Nauk SSSR 251 (1980) 824-827
-
(1980)
Dokl. Acad. Nauk SSSR
, vol.251
, pp. 824-827
-
-
Grinfeld, M.A.1
-
30
-
-
0020892144
-
Two-phase deformations of elastic solids
-
Gurtin M.E. Two-phase deformations of elastic solids. Arch. Rat. Mech. Anal. 84 (1983) 1-29
-
(1983)
Arch. Rat. Mech. Anal.
, vol.84
, pp. 1-29
-
-
Gurtin, M.E.1
-
31
-
-
12344282942
-
Finite element simulations of martensitic phase transitions and microstructures based on a strain softening model
-
Idesman A.V., Levitas V.I., Preston D.L., and Cho J.-Y. Finite element simulations of martensitic phase transitions and microstructures based on a strain softening model. J. Mech. Phys. Solids 53 (2004) 495-523
-
(2004)
J. Mech. Phys. Solids
, vol.53
, pp. 495-523
-
-
Idesman, A.V.1
Levitas, V.I.2
Preston, D.L.3
Cho, J.-Y.4
-
32
-
-
0018711591
-
Co-existent phases in the one-dimensional static theory of elastic bars
-
James R.D. Co-existent phases in the one-dimensional static theory of elastic bars. Arch. Rat. Mech. Anal. 72 (1979) 99-140
-
(1979)
Arch. Rat. Mech. Anal.
, vol.72
, pp. 99-140
-
-
James, R.D.1
-
33
-
-
0019691902
-
Finite deformation by mechanical twinning
-
James R.D. Finite deformation by mechanical twinning. Arch. Rat. Mech. Anal. 77 (1981) 143-177
-
(1981)
Arch. Rat. Mech. Anal.
, vol.77
, pp. 143-177
-
-
James, R.D.1
-
34
-
-
0000985797
-
Defects heredity and the phase transformation development in solids
-
Kaganova I.M., and Roitburd A.L. Defects heredity and the phase transformation development in solids. Sov. Phys. Solid State 29 (1987) 800-803
-
(1987)
Sov. Phys. Solid State
, vol.29
, pp. 800-803
-
-
Kaganova, I.M.1
Roitburd, A.L.2
-
35
-
-
0000260969
-
Equilibrium of elastically interacting phases
-
Kaganova I.M., and Roitburd A.L. Equilibrium of elastically interacting phases. Sov. Physics JETP 67 (1988) 1174-1186
-
(1988)
Sov. Physics JETP
, vol.67
, pp. 1174-1186
-
-
Kaganova, I.M.1
Roitburd, A.L.2
-
36
-
-
0018455713
-
On the dissipation associated with equilibrium shocks in finite elasticity
-
Knowles J.K. On the dissipation associated with equilibrium shocks in finite elasticity. J. Elasticity 9 (1979) 131-158
-
(1979)
J. Elasticity
, vol.9
, pp. 131-158
-
-
Knowles, J.K.1
-
37
-
-
0018019943
-
On the failure of ellipticity and the emergence of discontinuous deformation gradients in plane finite elastostatics
-
Knowles J.K., and Sternberg E. On the failure of ellipticity and the emergence of discontinuous deformation gradients in plane finite elastostatics. J. Elasticity 8 (1978) 329-379
-
(1978)
J. Elasticity
, vol.8
, pp. 329-379
-
-
Knowles, J.K.1
Sternberg, E.2
-
38
-
-
0031162724
-
Phase transitions in elastoplastic materials: continuum thermomechanical theory and examples of control
-
Part I: 45(6), 923-947; Part II: 45(7), 1203-1222
-
Levitas V.I. Phase transitions in elastoplastic materials: continuum thermomechanical theory and examples of control. J. Mech. Phys. Solids (1997) Part I: 45(6), 923-947; Part II: 45(7), 1203-1222
-
(1997)
J. Mech. Phys. Solids
-
-
Levitas, V.I.1
-
39
-
-
0033750494
-
Structural changes without stable intermediate state in inelastic material
-
Part I: 805-849; Part II: 851-892
-
Levitas V.I. Structural changes without stable intermediate state in inelastic material. Int. J. Plasticity 16 (2000) Part I: 805-849; Part II: 851-892
-
(2000)
Int. J. Plasticity
, vol.16
-
-
Levitas, V.I.1
-
40
-
-
12144277703
-
Microscale simulation of martensitic microstructure evolution
-
Levitas V.I., Idesman A.V., and Preston D.L. Microscale simulation of martensitic microstructure evolution. Phys. Rev. Lett. 93 (2004) 105701
-
(2004)
Phys. Rev. Lett.
, vol.93
, pp. 105701
-
-
Levitas, V.I.1
Idesman, A.V.2
Preston, D.L.3
-
41
-
-
0028378136
-
On martensitic phase nucleation with surface effects
-
Lusk M. On martensitic phase nucleation with surface effects. J. Mech. Phys. Solids 42 2 (1994) 241-282
-
(1994)
J. Mech. Phys. Solids
, vol.42
, Issue.2
, pp. 241-282
-
-
Lusk, M.1
-
42
-
-
17144422959
-
Phase transition zones and phase transformations in elastic bodies under various stress states
-
Morozov N.F., and Freidin A.B. Phase transition zones and phase transformations in elastic bodies under various stress states. Proc. Steklov Math. Inst. 223 (1998) 219-232
-
(1998)
Proc. Steklov Math. Inst.
, vol.223
, pp. 219-232
-
-
Morozov, N.F.1
Freidin, A.B.2
-
43
-
-
0242504972
-
One-dimensional problem on phase transformation of an elastic sphere
-
Morozov N.F., Nazyrov I.R., and Freidin A.B. One-dimensional problem on phase transformation of an elastic sphere. Dokl. Akad. Nauk 346 (1996) 188-191
-
(1996)
Dokl. Akad. Nauk
, vol.346
, pp. 188-191
-
-
Morozov, N.F.1
Nazyrov, I.R.2
Freidin, A.B.3
-
45
-
-
0000455872
-
Plastic deformation and thermodynamic hysteresis at phase transformations in solids
-
Roitburd A.L., and Temkin D.E. Plastic deformation and thermodynamic hysteresis at phase transformations in solids. Sov. Phys. Solid State 28 (1986) 432-436
-
(1986)
Sov. Phys. Solid State
, vol.28
, pp. 432-436
-
-
Roitburd, A.L.1
Temkin, D.E.2
-
46
-
-
0025531963
-
Ellipticity and deformations with discontinuous gradients in finite elastostatics
-
Rosakis P. Ellipticity and deformations with discontinuous gradients in finite elastostatics. Arch. Rat. Mech. Anal. 109 (1990) 1-37
-
(1990)
Arch. Rat. Mech. Anal.
, vol.109
, pp. 1-37
-
-
Rosakis, P.1
-
47
-
-
0022876228
-
Uniqueness of regular and singular equilibria for spherically symmetric problems of nonlinear elasticity
-
Sivaloganathan J. Uniqueness of regular and singular equilibria for spherically symmetric problems of nonlinear elasticity. Arch. Rat. Mech. Anal. 96 (1986) 97-136
-
(1986)
Arch. Rat. Mech. Anal.
, vol.96
, pp. 97-136
-
-
Sivaloganathan, J.1
-
48
-
-
33744796656
-
-
Šilhavy, M., 2004. Energy minimization for isotropic nonlinear elastic bodies. In: Del Piero, G., Owen, D.R. (Eds.), Multiscale Modeling in Continuum Mechanics and Structured Deformations. CISM International Centre for Mechanical Sciences. Courses and Lectures, 447.
-
-
-
-
49
-
-
0001087444
-
Equilibrium interphase boundaries
-
Truskinovsky L. Equilibrium interphase boundaries. Dokl. Acad. Nauk SSSR 265 (1982) 306-310
-
(1982)
Dokl. Acad. Nauk SSSR
, vol.265
, pp. 306-310
-
-
Truskinovsky, L.1
-
50
-
-
0030181609
-
A reformulation of the strong ellipticity conditions for unconstrained hyperelastic media
-
Wang Y., and Aron M. A reformulation of the strong ellipticity conditions for unconstrained hyperelastic media. J. Elasticity 44 (1996) 89-96
-
(1996)
J. Elasticity
, vol.44
, pp. 89-96
-
-
Wang, Y.1
Aron, M.2
|