-
1
-
-
33751097707
-
Numerical analysis of plane cracks in strain-gradient elastic materials
-
Akarapu, S., and Zbib, H. M., 2006. “Numerical analysis of plane cracks in strain-gradient elastic materials”. Int. J. Fract., 141 (n° 34):403–430.
-
(2006)
Int. J. Fract.
, vol.141
, Issue.34
, pp. 403-430
-
-
Akarapu, S.1
Zbib, H.M.2
-
2
-
-
0036471631
-
Mixed finite element formulations of strain-gradient elasticity problems
-
Amanatidou, E., and Aravas, N., 2002. “Mixed finite element formulations of strain-gradient elasticity problems”. Comput. Methods Appl. Mech. Eng., 191 (n° 1516):1723–1751.
-
(2002)
Comput. Methods Appl. Mech. Eng.
, vol.191
, Issue.1516
, pp. 1723-1751
-
-
Amanatidou, E.1
Aravas, N.2
-
3
-
-
70350108468
-
Plane asymptotic crack-tip solutions in gradient elasticity
-
Aravas, N., and Giannakopoulos, A. E., 2009. “Plane asymptotic crack-tip solutions in gradient elasticity”. Int. J. Solids Struct., 46 (n° 2526):4478–4503.
-
(2009)
Int. J. Solids Struct.
, vol.46
, Issue.2526
, pp. 4478-4503
-
-
Aravas, N.1
Giannakopoulos, A.E.2
-
4
-
-
0001558920
-
The TUBA family of plate elements for the matrix displacement method
-
Argyris, J. H., Fried, I., and Scharpf, D. W., 1968. “The TUBA family of plate elements for the matrix displacement method”. Aeronaut. J. R. Aeronaut. Soc., 72 (n° 692):701–709.
-
(1968)
Aeronaut. J. R. Aeronaut. Soc.
, vol.72
, Issue.692
, pp. 701-709
-
-
Argyris, J.H.1
Fried, I.2
Scharpf, D.W.3
-
5
-
-
0036822265
-
Numerical modelling of size effects with gradient elasticity—Formulation, meshless discretization and examples
-
Askes, H., and Aifantis, E. C., 2002. “Numerical modelling of size effects with gradient elasticity—Formulation, meshless discretization and examples”. Int. J. Fracture, 117 (n° 4):347–358.
-
(2002)
Int. J. Fracture
, vol.117
, Issue.4
, pp. 347-358
-
-
Askes, H.1
Aifantis, E.C.2
-
6
-
-
33746171292
-
Implicit gradient elasticity
-
Askes, H., and Gutiérrez, M. A., 2006. “Implicit gradient elasticity”. Int. J. Numer. Methods Eng., 67 (n° 3):400–416.
-
(2006)
Int. J. Numer. Methods Eng.
, vol.67
, Issue.3
, pp. 400-416
-
-
Askes, H.1
Gutiérrez, M.A.2
-
8
-
-
0001704846
-
Rheological stability with couple stresses and its application to geological folding
-
Biot, M. A., 1967. “Rheological stability with couple stresses and its application to geological folding”. Proc. Roy. Soc. A, 298:402–423.
-
(1967)
Proc. Roy. Soc. A
, vol.298
, pp. 402-423
-
-
Biot, M.A.1
-
9
-
-
0009827517
-
Note sur l'équilibre et les mouvements vibratoires des corps solides
-
Cauchy, A.-L., 1851. “Note sur l'équilibre et les mouvements vibratoires des corps solides”. Comptes Rendus Acad. Sci., 32:323–326.
-
(1851)
Comptes Rendus Acad. Sci.
, vol.32
, pp. 323-326
-
-
Cauchy, A.-L.1
-
10
-
-
0000835567
-
Etude de la localisation unidimensionelle à l'aide d'un modèle de second gradient
-
Chambon, R., Caillerie, D., and El Hassan, N., 1996. “Etude de la localisation unidimensionelle à l'aide d'un modèle de second gradient”. C.R.A.S. Série IIb, 323:231–238.
-
(1996)
C.R.A.S. Série IIb
, vol.323
, pp. 231-238
-
-
Chambon, R.1
Caillerie, D.2
El Hassan, N.3
-
11
-
-
0032108333
-
One-dimensional localisation studied with a second grade model
-
Chambon, R., Caillerie, D., and El Hassan, N., 1998. “One-dimensional localisation studied with a second grade model”. Eur. J. Mech. A/Solids, 17 (n° 4):637–656.
-
(1998)
Eur. J. Mech. A/Solids
, vol.17
, Issue.4
, pp. 637-656
-
-
Chambon, R.1
Caillerie, D.2
El Hassan, N.3
-
12
-
-
0025469891
-
A higher-order triangular plate bending element revisited
-
Dasgupta, S., and Sengupta, D., 1990. “A higher-order triangular plate bending element revisited”. Int. J. Numer. Methods Eng., 30:419–430.
-
(1990)
Int. J. Numer. Methods Eng.
, vol.30
, pp. 419-430
-
-
Dasgupta, S.1
Sengupta, D.2
-
13
-
-
0026908533
-
Gradient-dependent plasticity: Formulation and algorithmic aspects
-
de Borst, R., and Mühlhaus, H.-B., 1992. “Gradient-dependent plasticity:formulation and algorithmic aspects”. Int. J. Numer. Methods Eng., 35 (n° 3):521–539.
-
(1992)
Int. J. Numer. Methods Eng.
, vol.35
, Issue.3
, pp. 521-539
-
-
de Borst, R.1
Mühlhaus, H.-B.2
-
14
-
-
0014894481
-
A strain gradient theory of plasticity
-
Dillon, O. W., Jr and Kratochvil, J., 1970. “A strain gradient theory of plasticity”. Int. J. Solids Struct., 6 (n° 12):1513–1533.
-
(1970)
Int. J. Solids Struct.
, vol.6
, Issue.12
, pp. 1513-1533
-
-
Dillon, O.W.1
Kratochvil, J.2
-
15
-
-
0032005044
-
Gradient elasticity with surface energy: Mode-I crack problem
-
Exadaktylos, G., 1998. “Gradient elasticity with surface energy:Mode-I crack problem”. Int. J. Solids Struct., 35 (n° 56):421–456.
-
(1998)
Int. J. Solids Struct.
, vol.35
, Issue.56
, pp. 421-456
-
-
Exadaktylos, G.1
-
16
-
-
0034901777
-
Microstructure in linear elasticity and scale effects: A reconsideration of basic rock mechanics and rock fracture mechanics
-
Exadaktylos, G. E., and Vardoulakis, I., 2001. “Microstructure in linear elasticity and scale effects:a reconsideration of basic rock mechanics and rock fracture mechanics”. Tectonophysics, 335:81–109.
-
(2001)
Tectonophysics
, vol.335
, pp. 81-109
-
-
Exadaktylos, G.E.1
Vardoulakis, I.2
-
17
-
-
77952001312
-
On the C1 continuous discretization of non-linear gradient elasticity: A comparison of NEM and FEM based on Bernstein-Bézier patches
-
Fischer, P., Mergheim, J., and Steinmann, P., 2010. “On the C1 continuous discretization of non-linear gradient elasticity:A comparison of NEM and FEM based on Bernstein-Bézier patches”. Int. J. Numer. Methods Eng., 82 (n° 10):1282–1307.
-
(2010)
Int. J. Numer. Methods Eng.
, vol.82
, Issue.10
, pp. 1282-1307
-
-
Fischer, P.1
Mergheim, J.2
Steinmann, P.3
-
18
-
-
77956668935
-
Strain gradient plasticity”, Advances in
-
Fleck, N. A., and Hutchinson, J. W., 1997. “Strain gradient plasticity”, Advances in. Applied Mechanics, 33:295–361.
-
(1997)
Applied Mechanics
, vol.33
, pp. 295-361
-
-
Fleck, N.A.1
Hutchinson, J.W.2
-
19
-
-
33745989506
-
Energy theorems and the J-integral in dipolar gradient elasticity
-
Georgiadis, H. G., and Grentzelou, C. G., 2006. “Energy theorems and the J-integral in dipolar gradient elasticity”. Int. J. Solids Struct., 43:5690–5712.
-
(2006)
Int. J. Solids Struct.
, vol.43
, pp. 5690-5712
-
-
Georgiadis, H.G.1
Grentzelou, C.G.2
-
20
-
-
70349246334
-
Plane-strain crack problems in microstructured solids governed by dipolar gradient elasticity
-
Gourgiotis, P. A., and Georgiadis, H. G., 2009. “Plane-strain crack problems in microstructured solids governed by dipolar gradient elasticity”. J. Mech. Phys. Solids, 57 (n° 11):1898–1920.
-
(2009)
J. Mech. Phys. Solids
, vol.57
, Issue.11
, pp. 1898-1920
-
-
Gourgiotis, P.A.1
Georgiadis, H.G.2
-
22
-
-
63449108200
-
Localization properties of strain-softening gradient plasticity models. Part I: Strain-gradient theories
-
Jirásek, M., and Rolshoven, S., 2009a. “Localization properties of strain-softening gradient plasticity models. Part I:Strain-gradient theories”. Int. J. Solids Struct., 46 (n° 11–12):2225–2238.
-
(2009)
Int. J. Solids Struct.
, vol.46
, Issue.11-12
, pp. 2225-2238
-
-
Jirásek, M.1
Rolshoven, S.2
-
23
-
-
63449139479
-
Localization properties of strain-softening gradient plasticity models. Part II: Theories with gradients of internal variables
-
2239—2254
-
Jirásek, M., and Rolshoven, S., 2009b. “Localization properties of strain-softening gradient plasticity models. Part II:Theories with gradients of internal variables”. Int. J. Solids Struct., 46 (n° 11–12) 2239—2254
-
(2009)
Int. J. Solids Struct.
, vol.46
, Issue.11-12
-
-
Jirásek, M.1
Rolshoven, S.2
-
24
-
-
34548757877
-
Boundary element analysis of mode I and mixed mode (I and II) crack problems of 2-D gradient elasticity
-
Karlis, G. F., Tsinopoulos, S. V., Polyzos, D., and Beskos, D. E., 2007. “Boundary element analysis of mode I and mixed mode (I and II) crack problems of 2-D gradient elasticity”. Comput. Methods Appl. Mech. Eng., 196 (n° 4952):5092–5103.
-
(2007)
Comput. Methods Appl. Mech. Eng.
, vol.196
, Issue.4952
, pp. 5092-5103
-
-
Karlis, G.F.1
Tsinopoulos, S.V.2
Polyzos, D.3
Beskos, D.E.4
-
25
-
-
0037053923
-
Large strain finite element analysis of a local second gradient model: Application to localization
-
Matsushima, T., Chambon, R., and Caillerie, D., 2002. “Large strain finite element analysis of a local second gradient model:application to localization”. Int. J. Numer. Methods Eng., 54 (n° 4):499–521.
-
(2002)
Int. J. Numer. Methods Eng.
, vol.54
, Issue.4
, pp. 499-521
-
-
Matsushima, T.1
Chambon, R.2
Caillerie, D.3
-
26
-
-
0040366845
-
Micro-structure in linear elasticity
-
Mindlin, R. D., 1964. “Micro-structure in linear elasticity”. Arch. Rat. Mech. Anal., 16 (n° 1):51–78.
-
(1964)
Arch. Rat. Mech. Anal.
, vol.16
, Issue.1
, pp. 51-78
-
-
Mindlin, R.D.1
-
27
-
-
0000095439
-
Second gradient of strain and surface-tension in linear elasticity
-
417—438
-
Mindlin, R. D., 1965. “Second gradient of strain and surface-tension in linear elasticity”. Int. J. Solids Struct., 1 (n° 4) 417—438
-
(1965)
Int. J. Solids Struct.
, vol.1
, Issue.4
-
-
Mindlin, R.D.1
-
28
-
-
0001357580
-
On first strain-gradient theories in linear elasticity
-
Mindlin, R. D., and Eshel, N. N., 1968. “On first strain-gradient theories in linear elasticity”. Int. J. Solids Struct., 4 (n° 1):109–124.
-
(1968)
Int. J. Solids Struct.
, vol.4
, Issue.1
, pp. 109-124
-
-
Mindlin, R.D.1
Eshel, N.N.2
-
29
-
-
44949281328
-
A variational principle for gradient plasticity
-
Mühlhaus, H.-B., and Aifantis, E., 1991. “A variational principle for gradient plasticity”. Int. J. Solids Struct., 28 (n° 7):845–857.
-
(1991)
Int. J. Solids Struct.
, vol.28
, Issue.7
, pp. 845-857
-
-
Mühlhaus, H.-B.1
Aifantis, E.2
-
31
-
-
12444331006
-
Gradient plasticity and damage models: A short comparison
-
472—479
-
Pamin, J., 2005. “Gradient plasticity and damage models:a short comparison”. Computational Materials Science, 32 (n° 3–4) 472—479
-
(2005)
Computational Materials Science
, vol.32
, Issue.3-4
-
-
Pamin, J.1
-
33
-
-
77953497701
-
Numerical solution of crack problems in gradient elasticity
-
Papanicolopulos, S.-A., and Zervos, A., 2010a. “Numerical solution of crack problems in gradient elasticity”. Engineering and Computational Mechanics, 163 (n° 2):73–82.
-
(2010)
Engineering and Computational Mechanics
, vol.163
, Issue.2
, pp. 73-82
-
-
Papanicolopulos, S.-A.1
Zervos, A.2
-
34
-
-
60949111512
-
A three dimensional C1 finite element for gradient elasticity
-
Papanicolopulos, S.-A., Zervos, A., and Vardoulakis, I., 2009. “A three dimensional C1 finite element for gradient elasticity”. Int. J. Numer. Methods Eng., 77 (n° 10):1396–1415.
-
(2009)
Int. J. Numer. Methods Eng.
, vol.77
, Issue.10
, pp. 1396-1415
-
-
Papanicolopulos, S.-A.1
Zervos, A.2
Vardoulakis, I.3
-
35
-
-
84862762935
-
1 finite elements
-
Maugin G.A., V. Metrikine A., (eds), New York: Springer, in, chapter 28
-
1 finite elements”. In Mechanics of Generalized Continua 21 of Advances in Mechanics and Mathematics Edited by:Maugin, G. A., and V. Metrikine, A., 269–277. New York:Springer. in, chapter 28
-
(2010)
Mechanics of Generalized Continua 21 of Advances in Mechanics and Mathematics
, pp. 269-277
-
-
Papanicolopulos, S.-A.1
Zervos, A.2
Vardoulakis, I.3
-
36
-
-
0028532340
-
Isoparametric Hermite elements
-
Petera, J., and Pittman, J. F. T., 1994. “Isoparametric Hermite elements”. Int. J. Numer. Methods Eng., 37 (n° 20):3489–3519.
-
(1994)
Int. J. Numer. Methods Eng.
, vol.37
, Issue.20
, pp. 3489-3519
-
-
Petera, J.1
Pittman, J.F.T.2
-
37
-
-
0032155920
-
Finite element implementation of gradient plasticity models. Part I: Gradient-dependent yield functions
-
Ramaswamy, S., and Aravas, N., 1998. “Finite element implementation of gradient plasticity models. Part I:Gradient-dependent yield functions”. Comput. Methods Appl. Mech. Engrg., 163:11–32.
-
(1998)
Comput. Methods Appl. Mech. Engrg.
, vol.163
, pp. 11-32
-
-
Ramaswamy, S.1
Aravas, N.2
-
38
-
-
0032710222
-
Finite elements for materials with strain gradient effects
-
Shu, J. Y., King, W. E., and Fleck, N. A., 1999. “Finite elements for materials with strain gradient effects”. Int. J. Numer. Methods Eng., 44 (n° 3):373–391.
-
(1999)
Int. J. Numer. Methods Eng.
, vol.44
, Issue.3
, pp. 373-391
-
-
Shu, J.Y.1
King, W.E.2
Fleck, N.A.3
-
39
-
-
33947180779
-
Elastic materials with couple stresses
-
Toupin, R. A., 1962. “Elastic materials with couple stresses”. Arch. Rat. Mech. Anal., 11 (n° 1):385–414.
-
(1962)
Arch. Rat. Mech. Anal.
, vol.11
, Issue.1
, pp. 385-414
-
-
Toupin, R.A.1
-
41
-
-
81255209006
-
Linear micro-elasticity
-
Darve F., Vardoulakis I., (eds)
-
Vardoulakis, I., 2003. “Linear micro-elasticity”. In Degradations and instabilities in geomaterials CISM, Springer-Verlag Edited by:Darve, F., and Vardoulakis, I., 107–149.
-
(2003)
Degradations and instabilities in geomaterials CISM, Springer-Verlag
, pp. 107-149
-
-
Vardoulakis, I.1
-
42
-
-
0025839642
-
A gradient flow theory of plasticity for granular materials
-
Vardoulakis, I., and Aifantis, E. C., 1991. “A gradient flow theory of plasticity for granular materials”. Acta Mech., 87:197–217.
-
(1991)
Acta Mech.
, vol.87
, pp. 197-217
-
-
Vardoulakis, I.1
Aifantis, E.C.2
-
43
-
-
0028464449
-
On the role of microstructure in the behaviour of soils: Effects of higher order gradients and internal inertia
-
Vardoulakis, I., and Aifantis, E. C., 1994. “On the role of microstructure in the behaviour of soils:Effects of higher order gradients and internal inertia”. Mech. Mater., 18:151–158.
-
(1994)
Mech. Mater.
, vol.18
, pp. 151-158
-
-
Vardoulakis, I.1
Aifantis, E.C.2
-
44
-
-
0026945205
-
Modelling of tool-rock shear interfaces using gradient-dependent flow theory of plasticity
-
573—582
-
Vardoulakis, I., Shah, K., and Papanastasiou, P., 1992. “Modelling of tool-rock shear interfaces using gradient-dependent flow theory of plasticity”. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 29 (n° 6) 573—582
-
(1992)
International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts
, vol.29
, Issue.6
-
-
Vardoulakis, I.1
Shah, K.2
Papanastasiou, P.3
-
46
-
-
38349192853
-
Finite elements for Elasticity with Microstructure and Gradient Elasticity
-
Zervos, A., 2008. “Finite elements for Elasticity with Microstructure and Gradient Elasticity”. Int. J. Numer. Methods Eng., 73 (n° 4):564–595.
-
(2008)
Int. J. Numer. Methods Eng.
, vol.73
, Issue.4
, pp. 564-595
-
-
Zervos, A.1
-
47
-
-
0035961284
-
A finite element displacement formulation for gradient elastoplasticity
-
Zervos, A., Papanastasiou, P., and Vardoulakis, I., 2001a. “A finite element displacement formulation for gradient elastoplasticity”. Int. J. Numer. Methods Eng., 50 (n° 6):1369–1388.
-
(2001)
Int. J. Numer. Methods Eng.
, vol.50
, Issue.6
, pp. 1369-1388
-
-
Zervos, A.1
Papanastasiou, P.2
Vardoulakis, I.3
-
48
-
-
0035827386
-
Modelling of localisation and scale effect in thick-walled cylinders with gradient elastoplasticity
-
Zervos, A., Papanastasiou, P., and Vardoulakis, I., 2001b. “Modelling of localisation and scale effect in thick-walled cylinders with gradient elastoplasticity”. Int. J. Solids Struct., 38 (n° 30–31):5081–5095.
-
(2001)
Int. J. Solids Struct.
, vol.38
, Issue.30-31
, pp. 5081-5095
-
-
Zervos, A.1
Papanastasiou, P.2
Vardoulakis, I.3
-
49
-
-
60649103606
-
Two finite element discretizations for gradient elasticity
-
Zervos, A., Papanicolopulos, S.-A., and Vardoulakis, I., 2009. “Two finite element discretizations for gradient elasticity”. J. Eng. Mech.-ASCE, 135 (n° 3):203–213.
-
(2009)
J. Eng. Mech.-ASCE
, vol.135
, Issue.3
, pp. 203-213
-
-
Zervos, A.1
Papanicolopulos, S.-A.2
Vardoulakis, I.3
-
50
-
-
0009107948
-
The mode III full-field solution in elastic materials with strain gradient effects
-
Zhang, L., Huang, Y., Chen, J. Y., and Hwang, K. C., 1998. “The mode III full-field solution in elastic materials with strain gradient effects”. Int. J. Fract., 92 (n° 4):325–348.
-
(1998)
Int. J. Fract.
, vol.92
, Issue.4
, pp. 325-348
-
-
Zhang, L.1
Huang, Y.2
Chen, J.Y.3
Hwang, K.C.4
-
51
-
-
85024237054
-
-
Zienkiewicz, O. C., and Taylor, R. L., 1989. The Finite Element Method, Fourth Edition, McGraw-Hill
-
(1989)
The Finite Element Method, Fourth Edition, McGraw-Hill
-
-
Zienkiewicz, O.C.1
Taylor, R.L.2
|