-
1
-
-
84949692839
-
On some new general and complementary energy theorems for the rate problems in finite strain, classical elasticity
-
ATLURI, S. N. 1980 On some new general and complementary energy theorems for the rate problems in finite strain, classical elasticity. J. Struct. Mech. 8, 61-92
-
(1980)
J. Struct. Mech.
, vol.8
, pp. 61-92
-
-
Atluri, S.N.1
-
3
-
-
0039360213
-
Duality for non-convex variational principles
-
AUCHMUTY, G. 1983 Duality for non-convex variational principles. J. Diff. Eqns 50, 80-145.
-
(1983)
J. Diff. Eqns
, vol.50
, pp. 80-145
-
-
Auchmuty, G.1
-
4
-
-
0024620321
-
Duality algorithms for non-convex variational principles
-
AUCHMUTY, G. 1989 Duality algorithms for non-convex variational principles. Numerical Funct. Anal. & Optimization 10, 211-264.
-
(1989)
Numerical Funct. Anal. & Optimization
, vol.10
, pp. 211-264
-
-
Auchmuty, G.1
-
5
-
-
0017417265
-
Convexity conditions and existence theorems in nonlinear elasticity
-
BALL, J. M. 1977 Convexity conditions and existence theorems in nonlinear elasticity. Arch. Ration. Mech. Anal. 63, 337-403.
-
(1977)
Arch. Ration. Mech. Anal.
, vol.63
, pp. 337-403
-
-
Ball, J.M.1
-
6
-
-
33750297145
-
Fine phase mixtures as minimizers of energy
-
BALL, J. M. & JAMES, R. D. 1987 Fine phase mixtures as minimizers of energy. Arch. Ration. Mech. Anal. 100, 13-52.
-
(1987)
Arch. Ration. Mech. Anal.
, vol.100
, pp. 13-52
-
-
Ball, J.M.1
James, R.D.2
-
7
-
-
0030495409
-
Landau-Ginzburg model for a deformation-driven experiment on shape memory alloys
-
BUBNER, N. 1996 Landau-Ginzburg model for a deformation-driven experiment on shape memory alloys. Continuum Mech. Thermodyn. 8, 293-308.
-
(1996)
Continuum Mech. Thermodyn.
, vol.8
, pp. 293-308
-
-
Bubner, N.1
-
8
-
-
0020588788
-
On the work theorems for finite and incremental elastic deformations with discontinuous fields: A unified treatment of different versions
-
BUFLER, H. 1983 On the work theorems for finite and incremental elastic deformations with discontinuous fields: a unified treatment of different versions. Comput. Meth. Appl. Mech. Eng. 36, 95-124.
-
(1983)
Comput. Meth. Appl. Mech. Eng.
, vol.36
, pp. 95-124
-
-
Bufler, H.1
-
9
-
-
0000358405
-
Structured phase transitions on a finite interval
-
CARR, J., GURTIN, M. E., & SLEMROD, M. 1984 Structured phase transitions on a finite interval. Arch. Ration. Mech. Anal. 86, 317-351.
-
(1984)
Arch. Ration. Mech. Anal.
, vol.86
, pp. 317-351
-
-
Carr, J.1
Gurtin, M.E.2
Slemrod, M.3
-
10
-
-
0000993645
-
Variational methods for non-differentiable functions and their applications to partial differential equations
-
CHANG, K. C. 1981 Variational methods for non-differentiable functions and their applications to partial differential equations. J. Math. Anal. Appl. 80, 102-129.
-
(1981)
J. Math. Anal. Appl.
, vol.80
, pp. 102-129
-
-
Chang, K.C.1
-
12
-
-
84966215357
-
A classical variational principle for periodic Hamiltonian trajectories
-
CLARKE, F. H. 1979 A classical variational principle for periodic Hamiltonian trajectories. Proc. Amer. Math. Soc. 76, 186-189.
-
(1979)
Proc. Amer. Math. Soc.
, vol.76
, pp. 186-189
-
-
Clarke, F.H.1
-
13
-
-
0344960133
-
The dual action, optimal control, and generalized gradients
-
Banach Center Publ., 14, PWN, Warsaw
-
CLARKE, F. H. 1985 The dual action, optimal control, and generalized gradients, Mathematical Control Theory. Banach Center Publ., 14, PWN, Warsaw, 109-119.
-
(1985)
Mathematical Control Theory
, pp. 109-119
-
-
Clarke, F.H.1
-
15
-
-
0003571237
-
-
Dordrecht: Kluwer
-
DEM'YANOV, V. F., STAVROULAKIS, G. E., POLYAKOVA, L. N., & PANAGIOTOPOULOS, P. D. 1996 Quasidifferentiability and Nonsmooth Modelling in Mechanics, Engineering and Economics. Dordrecht: Kluwer.
-
(1996)
Quasidifferentiability and Nonsmooth Modelling in Mechanics, Engineering and Economics
-
-
Dem'yanov, V.F.1
Stavroulakis, G.E.2
Polyakova, L.N.3
Panagiotopoulos, P.D.4
-
17
-
-
0016569455
-
Equilibrium of bars
-
ERICKSEN, J. L. 1975 Equilibrium of bars. J. Elast. 5, 191-202.
-
(1975)
J. Elast.
, vol.5
, pp. 191-202
-
-
Ericksen, J.L.1
-
18
-
-
0002435720
-
Stable equilibrium configurations of elastic crystals
-
ERICKSEN, J. L. 1986 Stable equilibrium configurations of elastic crystals. Arch. Ration. Mech. Anal. 94, 1-14.
-
(1986)
Arch. Ration. Mech. Anal.
, vol.94
, pp. 1-14
-
-
Ericksen, J.L.1
-
19
-
-
0003372616
-
Elastic phase transitions and non-convex energy functions
-
(ed. K. H. Hoffmann and J. Sprekels). London: Longman
-
FALK, F. 1990 Elastic phase transitions and non-convex energy functions. In Free Boundary Problems: Theory and Applications I. (ed. K. H. Hoffmann and J. Sprekels). London: Longman.
-
(1990)
Free Boundary Problems: Theory and Applications
, vol.1
-
-
Falk, F.1
-
20
-
-
0001782017
-
On conjugate convex functions
-
FENCHEL, W. 1949 On conjugate convex functions. Canad. J. Math. 1, 73-77.
-
(1949)
Canad. J. Math.
, vol.1
, pp. 73-77
-
-
Fenchel, W.1
-
21
-
-
0000937706
-
The lower quasiconvex envelope of the stored energy function for an elastic crystal
-
FONSECA, I. 1988 The lower quasiconvex envelope of the stored energy function for an elastic crystal. J. Math. Pure et Appl. 67, 175-195.
-
(1988)
J. Math. Pure et Appl.
, vol.67
, pp. 175-195
-
-
Fonseca, I.1
-
22
-
-
0343297887
-
Semi-quadratic variational problems for multiphase equilibria
-
FRIED, E. & GURTIN, M. E. 1996 Semi-quadratic variational problems for multiphase equilibria. Q. Appl. Math. 54, 73-84.
-
(1996)
Q. Appl. Math.
, vol.54
, pp. 73-84
-
-
Fried, E.1
Gurtin, M.E.2
-
23
-
-
0026678869
-
The complementary energy principle as a dual problem for a specific model of geometrically nonlinear elastic shells with an independent rotation vector: General results
-
GALKA, A. & TELEGA, J. J. 1992 The complementary energy principle as a dual problem for a specific model of geometrically nonlinear elastic shells with an independent rotation vector: general results. Eur. J. Mech. 11, 245-270.
-
(1992)
Eur. J. Mech.
, vol.11
, pp. 245-270
-
-
Galka, A.1
Telega, J.J.2
-
25
-
-
0342726895
-
Dynamically loaded rigid-plastic analysis under large deformation
-
GAO, D. Y. 1990 Dynamically loaded rigid-plastic analysis under large deformation. Q. Appl. Math. 48, 731-739.
-
(1990)
Q. Appl. Math.
, vol.48
, pp. 731-739
-
-
Gao, D.Y.1
-
26
-
-
0007039873
-
Global extremum criteria for finite elasticity
-
GAO, D. Y. 1992 Global extremum criteria for finite elasticity. Z. Angew. Math. Phys. 43, 924-937.
-
(1992)
Z. Angew. Math. Phys.
, vol.43
, pp. 924-937
-
-
Gao, D.Y.1
-
27
-
-
51249169207
-
Stability and extremum principles for post yield analysis of finite plasticity
-
GAO, D. Y. 1994 Stability and extremum principles for post yield analysis of finite plasticity. Acta Mech. Sinica 10, 311-325.
-
(1994)
Acta Mech. Sinica
, vol.10
, pp. 311-325
-
-
Gao, D.Y.1
-
28
-
-
21844496916
-
Duality theory in nonlinear buckling analysis for von Karman equations
-
GAO, D. Y. 1995 Duality theory in nonlinear buckling analysis for von Karman equations. Stud. Appl. Math. 94, 423-444.
-
(1995)
Stud. Appl. Math.
, vol.94
, pp. 423-444
-
-
Gao, D.Y.1
-
29
-
-
0007141016
-
Nonlinear elastic beam theory with application in contact problems and variational approaches
-
GAO, D. Y. 1996a Nonlinear elastic beam theory with application in contact problems and variational approaches. Mech. Res. Comm. 23, 11-17.
-
(1996)
Mech. Res. Comm.
, vol.23
, pp. 11-17
-
-
Gao, D.Y.1
-
30
-
-
85034478952
-
Duality in post-buckling analysis of nonlinear extended beam theory
-
Applied Mechanics in Americas (ed. L. A. Godoy, M. Rysz and L. E. Suarez). Jan 1-5, 1997, San Juan, Puerto Rico. University of Iowa Press
-
GAO, D. Y. 1996b Duality in post-buckling analysis of nonlinear extended beam theory. In Applied Mechanics in Americas Vol. 4, Proc. of the Fifth Pan American Cong. Appl. Mech. (ed. L. A. Godoy, M. Rysz and L. E. Suarez). Jan 1-5, 1997, San Juan, Puerto Rico. University of Iowa Press, 54-57.
-
(1996)
Proc. of the Fifth Pan American Cong. Appl. Mech.
, vol.4
, pp. 54-57
-
-
Gao, D.Y.1
-
31
-
-
0030131259
-
Complementary finite-element method for finite deformation nonsmooth mechanics
-
GAO, D. Y. 1996c Complementary finite-element method for finite deformation nonsmooth mechanics. J. Eng. Math. 30, 339-353.
-
(1996)
J. Eng. Math.
, vol.30
, pp. 339-353
-
-
Gao, D.Y.1
-
32
-
-
0031275125
-
Dual extremum principles in finite deformation theory with applications in post-buckling analysis of nonlinear beam model
-
GAO, D. Y. 1997 Dual extremum principles in finite deformation theory with applications in post-buckling analysis of nonlinear beam model. Appl. Mech. Rev. ASME 50, S64-S71.
-
(1997)
Appl. Mech. Rev. ASME
, vol.50
-
-
Gao, D.Y.1
-
33
-
-
0342291841
-
Duality in non-convex finite deformation theory: A survey and unified approach
-
to appear (ed. R. Gilbert, P. D. Panagiotopoulos and P. Pardalos). Dordrecht: Kluwer
-
GAO, D. Y. 1998a Duality in non-convex finite deformation theory: A survey and unified approach, to appear in From Convexity to non-convexity, A Volume dedicated to the memory of Professor Gaetano Fichera. (ed. R. Gilbert, P. D. Panagiotopoulos and P. Pardalos). Dordrecht: Kluwer.
-
(1998)
From Convexity to Non-convexity, a Volume Dedicated to the Memory of Professor Gaetano Fichera
-
-
Gao, D.Y.1
-
34
-
-
0000880013
-
Bi-complementarity and duality: A framework in nonlinear equilibria with applications to contact problem of elastoplastic beam theory
-
to appear
-
GAO, D. Y. 1998b Bi-complementarity and duality: A framework in nonlinear equilibria with applications to contact problem of elastoplastic beam theory. J. Math. Anal. Appl. 222, to appear.
-
(1998)
J. Math. Anal. Appl.
, vol.222
-
-
Gao, D.Y.1
-
36
-
-
85034459427
-
Finite deformation beam models and triality theory in dynamic post-buckling analysis
-
to appear
-
GAO, D. Y. 1999b Finite deformation beam models and triality theory in dynamic post-buckling analysis. Int. J. Non-Linear Mech. to appear.
-
(1999)
Int. J. Non-Linear Mech.
-
-
Gao, D.Y.1
-
37
-
-
33646294051
-
Analytic solutions and triality theory for non-convex and non-smooth variational problems
-
to appear
-
GAO, D. Y. 1999c Analytic solutions and triality theory for non-convex and non-smooth variational problems. Nonlinear Anal. to appear.
-
(1999)
Nonlinear Anal.
-
-
Gao, D.Y.1
-
38
-
-
0025594207
-
On the extremum complementary energy principles for nonlinear elastic shells
-
GAO, D. Y. & CHEUNG, Y. K. 1989 On the extremum complementary energy principles for nonlinear elastic shells. Int. J. Solids Struct. 25, 683-693.
-
(1989)
Int. J. Solids Struct.
, vol.25
, pp. 683-693
-
-
Gao, D.Y.1
Cheung, Y.K.2
-
39
-
-
0001168373
-
Geometric nonlinearity: Potential energy, complementary energy, and the gap function
-
GAO, D. Y. & STRANG, G. 1989a Geometric nonlinearity: Potential energy, complementary energy, and the gap function. Q. Appl. Math. 47, 487-504.
-
(1989)
Q. Appl. Math.
, vol.47
, pp. 487-504
-
-
Gao, D.Y.1
Strang, G.2
-
40
-
-
0039034928
-
Dual extremum principles in finite deformation elastoplasitc analysis
-
GAO, D. Y. & STRANG, G. 1989b Dual extremum principles in finite deformation elastoplasitc analysis. Acta Appl. Math. 17, 257-267.
-
(1989)
Acta Appl. Math.
, vol.17
, pp. 257-267
-
-
Gao, D.Y.1
Strang, G.2
-
41
-
-
21844514943
-
Multi-duality in minimal surface type problems
-
GAO, D. Y. & YANG, W. H. 1995 Multi-duality in minimal surface type problems. Stud. Appl. Math. 95, 127-146.
-
(1995)
Stud. Appl. Math.
, vol.95
, pp. 127-146
-
-
Gao, D.Y.1
Yang, W.H.2
-
43
-
-
0018202497
-
Aspects of invariance in solids mechanics
-
HILL, R. 1978 Aspects of invariance in solids mechanics. Adv. Appl. Mech. 18, 1-75.
-
(1978)
Adv. Appl. Mech.
, vol.18
, pp. 1-75
-
-
Hill, R.1
-
44
-
-
0004743458
-
Theory of diffusionless phase transitions
-
(ed. M. Rascle et al.). Berlin: Springer
-
JAMES, R. D. & KINDERLEHRER, D. 1989 Theory of diffusionless phase transitions In Lecture Notes in Physics 344 (ed. M. Rascle et al.). Berlin: Springer, 147-176.
-
(1989)
Lecture Notes in Physics
, vol.344
, pp. 147-176
-
-
James, R.D.1
Kinderlehrer, D.2
-
45
-
-
0001000267
-
The relaxation of a double-well energy
-
KOHN, R. V. 1991 The relaxation of a double-well energy. Continuum Mech. Thermodyn. 3, 193-236.
-
(1991)
Continuum Mech. Thermodyn.
, vol.3
, pp. 193-236
-
-
Kohn, R.V.1
-
46
-
-
84990623154
-
Optimal design and relaxation of variational problems, I-III
-
KOHN, R. V. & STRANG, G. 1987 Optimal design and relaxation of variational problems, I-III. Comm. Pure Appl. Math. 34, 113-137, 139-182, 353-377.
-
(1987)
Comm. Pure Appl. Math.
, vol.34
, pp. 113-137
-
-
Kohn, R.V.1
Strang, G.2
-
47
-
-
0037774411
-
On the complementary energy theorem in nonlinear elasticity theory
-
(ed. G. Fichera). London: Pitman
-
KOITER, W. T. 1976 On the complementary energy theorem in nonlinear elasticity theory. In Trends in the Application of Pure Mathematics to Mechanics (ed. G. Fichera). London: Pitman.
-
(1976)
Trends in the Application of Pure Mathematics to Mechanics
-
-
Koiter, W.T.1
-
48
-
-
0039214175
-
Variational principles in finite elastics
-
LEE, S. J. & SHIELD, R. T. 1980 Variational principles in finite elastics. Z. Angew. Math. Phys. 31, 437-453.
-
(1980)
Z. Angew. Math. Phys.
, vol.31
, pp. 437-453
-
-
Lee, S.J.1
Shield, R.T.2
-
49
-
-
0040012368
-
On a certain variational problem of phase equilibrium
-
(ed. J.M. Ball). Oxford: University Press
-
LURIE, K. A. & CHERKAEV, A. V. 1988 On a certain variational problem of phase equilibrium. In Material Instabilities in Continuum Mechanics (ed. J.M. Ball). Oxford: University Press, 257-268.
-
(1988)
Material Instabilities in Continuum Mechanics
, pp. 257-268
-
-
Lurie, K.A.1
Cherkaev, A.V.2
-
51
-
-
84990557371
-
On characterizing the set of possible effective tensors of composites: The variational method and translation method
-
MILTON, G. 1990 On characterizing the set of possible effective tensors of composites: the variational method and translation method. Comm. Pure Appl. Math. 43, 63-125.
-
(1990)
Comm. Pure Appl. Math.
, vol.43
, pp. 63-125
-
-
Milton, G.1
-
52
-
-
0042681404
-
General variational principles in nonlinear and linear elasticity with applications
-
NEMAT-NASSER, S. 1972 General variational principles in nonlinear and linear elasticity with applications. Mechanics Today 1, 214-61.
-
(1972)
Mechanics Today
, vol.1
, pp. 214-261
-
-
Nemat-Nasser, S.1
-
55
-
-
84972349023
-
Inequalities associated with the inversion of elastic stress-deformation relations and their implications
-
OGDEN, R. W. 1977 Inequalities associated with the inversion of elastic stress-deformation relations and their implications. Math. Proc. Camb. Phil. Soc. 81, 313-324.
-
(1977)
Math. Proc. Camb. Phil. Soc.
, vol.81
, pp. 313-324
-
-
Ogden, R.W.1
-
59
-
-
0027252166
-
Relaxed energy densities for small deformations of membranes
-
PIPKIN, A. C. 1993 Relaxed energy densities for small deformations of membranes. IMA J. Appl. Math. 50, 225-237.
-
(1993)
IMA J. Appl. Math.
, vol.50
, pp. 225-237
-
-
Pipkin, A.C.1
-
60
-
-
85162639866
-
On a variational theorem for finite elastic deformations
-
REISSNER, E. 1953 On a variational theorem for finite elastic deformations, J. Math. Phys. 32, 129-153.
-
(1953)
J. Math. Phys.
, vol.32
, pp. 129-153
-
-
Reissner, E.1
-
62
-
-
84972498150
-
Duality and stability in extremum problems involving convex functions
-
ROCKAFELLAR, R. T. 1967 Duality and stability in extremum problems involving convex functions. Pacific J. Math. 21, 167-187.
-
(1967)
Pacific J. Math.
, vol.21
, pp. 167-187
-
-
Rockafellar, R.T.1
-
65
-
-
0031164989
-
Discretization and hysteresis
-
ROGERS, R. C. & TRUSKINOVSKY, L. 1997 Discretization and hysteresis. Physica B 233, 370-375.
-
(1997)
Physica B
, vol.233
, pp. 370-375
-
-
Rogers, R.C.1
Truskinovsky, L.2
-
66
-
-
0346310165
-
Translation of J. D. van der Waals's 'The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density'
-
ROWLINSON, J. S. 1979 Translation of J. D. van der Waals's 'The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density'. J. Statist. Phys. 20, 197-244.
-
(1979)
J. Statist. Phys.
, vol.20
, pp. 197-244
-
-
Rowlinson, J.S.1
-
69
-
-
0002713545
-
Plane deformations of elastic solids with intrinsic boundary elasticity
-
STEIGMANN, D. J. & OGDEN, R. W. 1997 Plane deformations of elastic solids with intrinsic boundary elasticity. Proc. R. Soc. A 453, 853-877.
-
(1997)
Proc. R. Soc. A
, vol.453
, pp. 853-877
-
-
Steigmann, D.J.1
Ogden, R.W.2
-
71
-
-
0018731405
-
The derivation of the dual extremum and complementary stationary principles in geometrical nonlinear shell theory
-
STUMPF, H. 1979 The derivation of the dual extremum and complementary stationary principles in geometrical nonlinear shell theory. Ing. Arch. 48, 221-237.
-
(1979)
Ing. Arch.
, vol.48
, pp. 221-237
-
-
Stumpf, H.1
-
72
-
-
0021312707
-
Complementary variational principles in elastodynamics
-
TABARROK, B. 1984 Complementary variational principles in elastodynamics. Computers & Structures 19, 239-246.
-
(1984)
Computers & Structures
, vol.19
, pp. 239-246
-
-
Tabarrok, B.1
-
74
-
-
0342726862
-
On the complementary energy principle in non-linear elasticity. Part I: Von Karman plates and three-dimensional solids
-
TELEGA, J. J. 1989 On the complementary energy principle in non-linear elasticity. Part I: von Karman plates and three-dimensional solids. C. R. Acad. Sci. Paris II 308, 1193-1198.
-
(1989)
C. R. Acad. Sci. Paris II
, vol.308
, pp. 1193-1198
-
-
Telega, J.J.1
-
75
-
-
0019279276
-
Duality and relaxation in variational problems of plasticity
-
TEMAM, R. & STRANG, G. 1980 Duality and relaxation in variational problems of plasticity. J. de Mecanique 19, 493-527.
-
(1980)
J. de Mecanique
, vol.19
, pp. 493-527
-
-
Temam, R.1
Strang, G.2
-
76
-
-
0008984095
-
Duality in non-convex optimization
-
TOLAND, J. F. 1978 Duality in non-convex optimization. J. Math. Anal. Appl. 66, 399-415.
-
(1978)
J. Math. Anal. Appl.
, vol.66
, pp. 399-415
-
-
Toland, J.F.1
-
77
-
-
0018680287
-
A duality principle for non-convex optimization and the calculus of variations
-
TOLAND, J. F. 1979 A duality principle for non-convex optimization and the calculus of variations. Arch. Ration. Mech. Anal. 71, 41-61.
-
(1979)
Arch. Ration. Mech. Anal.
, vol.71
, pp. 41-61
-
-
Toland, J.F.1
-
78
-
-
0039624934
-
A mathematical model for physical theories
-
TONTI, E. 1972 A mathematical model for physical theories. Fisica Matematica (8) 52.
-
(1972)
Fisica Matematica (8)
, vol.52
-
-
Tonti, E.1
-
81
-
-
0022920134
-
A general theory of shells and the complementary potentials
-
WEMPNER, G. 1986 A general theory of shells and the complementary potentials. J. Appl. Mech. 53, 881-885.
-
(1986)
J. Appl. Mech.
, vol.53
, pp. 881-885
-
-
Wempner, G.1
-
83
-
-
0029251243
-
Stress-induced phase transformations in solids and the associated double-well potentials
-
WU, C. H. 1994 Stress-induced phase transformations in solids and the associated double-well potentials. Int. J. Solids Struct. 32, 525-542.
-
(1994)
Int. J. Solids Struct.
, vol.32
, pp. 525-542
-
-
Wu, C.H.1
-
84
-
-
0040813591
-
Obstacle problem for von Karman equations
-
YAU, S. T. & GAO, D. Y. 1992 Obstacle problem for von Karman equations. Adv. Appl. Math. 13, 123-141.
-
(1992)
Adv. Appl. Math.
, vol.13
, pp. 123-141
-
-
Yau, S.T.1
Gao, D.Y.2
|