-
1
-
-
0024874706
-
Uniqueness of initial-boundary value problems in nonlocal elasticity
-
B.S. Altan, Uniqueness of initial-boundary value problems in nonlocal elasticity, Int. J. Solids Structures, 25(11), 1271-1278, 1989.
-
(1989)
Int. J. Solids Structures
, vol.25
, Issue.11
, pp. 1271-1278
-
-
Altan, B.S.1
-
2
-
-
0026140932
-
Uniqueness in nonlocal thermoelasticity
-
B.S. Altan, Uniqueness in nonlocal thermoelasticity, J. Thermal Stresses, 14, 121-128, 1991.
-
(1991)
J. Thermal Stresses
, vol.14
, pp. 121-128
-
-
Altan, B.S.1
-
4
-
-
33744782338
-
Derivation of higher order gradient continuum models from atomistic models for crystalline solids
-
M. Arndt and M. Griebel, Derivation of higher order gradient continuum models from atomistic models for crystalline solids, Multiscale Model. Simul., 4(2), 531-562, 2005.
-
(2005)
Multiscale Model. Simul
, vol.4
, Issue.2
, pp. 531-562
-
-
Arndt, M.1
Griebel, M.2
-
5
-
-
0036841605
-
Nonlocal integral formulations of plasticity and damage: Survey and progress
-
Z.P. Bažant and M. Jirásek, Nonlocal integral formulations of plasticity and damage: survey and progress, J. Eng. Mech., 128(11), 1119-1149, 2002.
-
(2002)
J. Eng. Mech
, vol.128
, Issue.11
, pp. 1119-1149
-
-
Bažant, Z.P.1
Jirásek, M.2
-
6
-
-
25444509289
-
Analysis of a prototypical multiscale method coupling atomistic and continuum mechanics
-
X. Blanc, C. Le Bris and F. Legoll, Analysis of a prototypical multiscale method coupling atomistic and continuum mechanics, M2AN, 39(4), 797-826, 2005.
-
(2005)
M2AN
, vol.39
, Issue.4
, pp. 797-826
-
-
Blanc, X.1
Le Bris, C.2
Legoll, F.3
-
7
-
-
0035981342
-
From molecular models to continuum mechanics
-
X. Blanc, C. Le Bris and P.L. Lions, From molecular models to continuum mechanics, Arch. Rational Mech. Anal., 164(4), 341-381, 2002.
-
(2002)
Arch. Rational Mech. Anal
, vol.164
, Issue.4
, pp. 341-381
-
-
Blanc, X.1
Le Bris, C.2
Lions, P.L.3
-
8
-
-
34547582899
-
Atomistic to continuum limits for computational materials science
-
X. Blanc, C. Le Bris and P.L. Lions, Atomistic to continuum limits for computational materials science, M2AN, 41(2), 391-426, 2007.
-
(2007)
M2AN
, vol.41
, Issue.2
, pp. 391-426
-
-
Blanc, X.1
Le Bris, C.2
Lions, P.L.3
-
9
-
-
34547830668
-
Peridynamic 3D problems of nanofiber networks and carbon nanotube-reinforced composites
-
American Institute of Physics
-
F. Bobaru and S.A. Silling, Peridynamic 3D problems of nanofiber networks and carbon nanotube-reinforced composites, Materials and Design: Proc. Numiform, American Institute of Physics, 1565-1570, 2004.
-
(2004)
Materials and Design: Proc. Numiform
, pp. 1565-1570
-
-
Bobaru, F.1
Silling, S.A.2
-
10
-
-
85036940407
-
-
F. Bobaru, S.A. Silling and H. Jiang, Peridynamic fracture and damage modeling of membranes and nanofiber networks, Proc. XI Int. Conf. Fracture, Turin, 5748, 1-6, 2005.
-
F. Bobaru, S.A. Silling and H. Jiang, Peridynamic fracture and damage modeling of membranes and nanofiber networks, Proc. XI Int. Conf. Fracture, Turin, 5748, 1-6, 2005.
-
-
-
-
11
-
-
0002640998
-
Another look at Sobolev spaces
-
J.L. Menaldi et al, eds, IOS Press, Amsterdam, Tokyo
-
J. Bourgain, H. Brézis and P. Mironescu, Another look at Sobolev spaces, J.L. Menaldi et al. (eds.), Optimal Control and Partial Differential Equations, IOS Press, Amsterdam, Tokyo, 439-455, 2001.
-
(2001)
Optimal Control and Partial Differential Equations
, pp. 439-455
-
-
Bourgain, J.1
Brézis, H.2
Mironescu, P.3
-
12
-
-
1542347681
-
Atomistic viewpoint of the applicability of microcontinuum theories
-
Y. Chen, J.D. Lee and A. Eskandarian, Atomistic viewpoint of the applicability of microcontinuum theories, Int. J. Solids Structures, 41(8), 2085-2097, 2004.
-
(2004)
Int. J. Solids Structures
, vol.41
, Issue.8
, pp. 2085-2097
-
-
Chen, Y.1
Lee, J.D.2
Eskandarian, A.3
-
13
-
-
0036838581
-
Dynamic meshless method applied to nonlocal crack problems
-
Y. Chen, J.D. Lee and A. Eskandarian, Dynamic meshless method applied to nonlocal crack problems, Theor. Appl. Fracture Mech., 38, 293-300, 2002.
-
(2002)
Theor. Appl. Fracture Mech
, vol.38
, pp. 293-300
-
-
Chen, Y.1
Lee, J.D.2
Eskandarian, A.3
-
14
-
-
33745173426
-
Kinetics of phase transformations in the peridynamic formulation of continuum mechanics
-
K. Dayal and K. Bhattacharya, Kinetics of phase transformations in the peridynamic formulation of continuum mechanics, J. Mech. Phys. Solids, 54, 1811-1842, 2006.
-
(2006)
J. Mech. Phys. Solids
, vol.54
, pp. 1811-1842
-
-
Dayal, K.1
Bhattacharya, K.2
-
15
-
-
33846861564
-
Cauchy-Born rule and the stability of crystalline solids: Static problems
-
W. E and P. Ming, Cauchy-Born rule and the stability of crystalline solids: static problems, Arch. Rational Mech. Anal., 183(2), 241-297, 2007.
-
(2007)
Arch. Rational Mech. Anal
, vol.183
, Issue.2
, pp. 241-297
-
-
Weinan, E.1
Ming, P.2
-
17
-
-
33947643165
-
The peridynamic equation and its spatial discretisation
-
E. Emmrich and O. Weckner, The peridynamic equation and its spatial discretisation, Math. Model. Anal., 12 (1), 17-27, 2007.
-
(2007)
Math. Model. Anal
, vol.12
, Issue.1
, pp. 17-27
-
-
Emmrich, E.1
Weckner, O.2
-
18
-
-
39149130574
-
The peridynamic equation of motion in non-local elasticity theory
-
C.A. Mota Soares et al, eds, Lisbon, June, Springer
-
E. Emmrich and O. Weekner, The peridynamic equation of motion in non-local elasticity theory, C.A. Mota Soares et al. (eds.), III European Conference on Computational Mechanics, Solids, Structures and Coupled Problems in Engineering (Lisbon, June 2006), Springer, 19, 2006.
-
(2006)
III European Conference on Computational Mechanics, Solids, Structures and Coupled Problems in Engineering
, vol.19
-
-
Emmrich, E.1
Weekner, O.2
-
20
-
-
0026929878
-
Vistas of nonlocal continuum physics
-
A.C. Eringen, Vistas of nonlocal continuum physics, Int. J. Eng. Sci., 30 (10), 1551-1565, 1992.
-
(1992)
Int. J. Eng. Sci
, vol.30
, Issue.10
, pp. 1551-1565
-
-
Eringen, A.C.1
-
22
-
-
17744390456
-
-
eds, la-FRAMCOS, 2
-
W. Gerstle and N. Sau, Peridynamic modeling of concrete structures, Proc. 5th Int. Conf. Fract. Mech. Concr. Struct, Li et al. (eds.), la-FRAMCOS, 2, 949-956, 2004.
-
(2004)
Peridynamic modeling of concrete structures, Proc. 5th Int. Conf. Fract. Mech. Concr
, pp. 949-956
-
-
Gerstle, W.1
Sau, N.2
-
23
-
-
85036946141
-
-
W. Gerstle, N. Sau and S. Silling, Peridynamic modeling of plain and reinforced concrete structures, SMiRT 18: 18th Int. Conf. Struct. Mech. React. Technol., Beijing, China, 15,2005.
-
W. Gerstle, N. Sau and S. Silling, Peridynamic modeling of plain and reinforced concrete structures, SMiRT 18: 18th Int. Conf. Struct. Mech. React. Technol., Beijing, China, 15,2005.
-
-
-
-
24
-
-
49949143801
-
Elasticity theory of materials with long range forces
-
E. Kröner, Elasticity theory of materials with long range forces, Int. J. Solids Structures, 3, 731-742, 1967.
-
(1967)
Int. J. Solids Structures
, vol.3
, pp. 731-742
-
-
Kröner, E.1
-
26
-
-
19844378167
-
From atoms to crystals: A mathematical journey
-
C. Le Bris and P.L. Lions, From atoms to crystals: a mathematical journey, Bulletin of the American Mathematical Society, 42 (3), 291-363, 2005.
-
(2005)
Bulletin of the American Mathematical Society
, vol.42
, Issue.3
, pp. 291-363
-
-
Le Bris, C.1
Lions, P.L.2
-
27
-
-
33646046826
-
A Galerkin method for distributed systems with non-local damping
-
Y. Lei, M.I. Friswell and S. Adhikari, A Galerkin method for distributed systems with non-local damping, Int. J. Solids Structures, 43(11-12), 3381-3400, 2005.
-
(2005)
Int. J. Solids Structures
, vol.43
, Issue.11-12
, pp. 3381-3400
-
-
Lei, Y.1
Friswell, M.I.2
Adhikari, S.3
-
29
-
-
0037217762
-
Closed form solution for a nonlocal elastic bar in tension
-
A.A. Pisano, and P. Fuschi, Closed form solution for a nonlocal elastic bar in tension, Int. J. Solids Structures, 40 (1), 13-23, 2003.
-
(2003)
Int. J. Solids Structures
, vol.40
, Issue.1
, pp. 13-23
-
-
Pisano, A.A.1
Fuschi, P.2
-
30
-
-
0035860410
-
Nonlocal elasticity and related variational principles
-
C. Polizzotto, Nonlocal elasticity and related variational principles, Int. J. Solids Structures, 38 (42-43), 7359-7380, 2001.
-
(2001)
Int. J. Solids Structures
, vol.38
, Issue.42-43
, pp. 7359-7380
-
-
Polizzotto, C.1
-
31
-
-
2942552905
-
Unified thermodynamic framework for nonlocal/gradient continuum mechanics
-
C. Polizzotto, Unified thermodynamic framework for nonlocal/gradient continuum mechanics, Eur. J. Mech. A/Solids, 22, 651-668, 2003.
-
(2003)
Eur. J. Mech. A/Solids
, vol.22
, pp. 651-668
-
-
Polizzotto, C.1
-
33
-
-
0346055020
-
Reformulation of elasticity theory for discontinuities and long-range forces
-
S.A. Silling, Reformulation of elasticity theory for discontinuities and long-range forces, J. Mech. Phys. Solids, 48 (1), 175-209, 2000.
-
(2000)
J. Mech. Phys. Solids
, vol.48
, Issue.1
, pp. 175-209
-
-
Silling, S.A.1
-
34
-
-
84941643983
-
-
S.A. Silling, Dynamic fracture modeling with a meshfree peridynamic code, K.J. Bathe (ed.), in Computational Fluid and Solid Mechanics 2003, Elsevier, Amsterdam, 641-644, 2003.
-
S.A. Silling, Dynamic fracture modeling with a meshfree peridynamic code, K.J. Bathe (ed.), in Computational Fluid and Solid Mechanics 2003, Elsevier, Amsterdam, 641-644, 2003.
-
-
-
-
35
-
-
8344261542
-
-
S.A. Silling and E. Askari, Peridynamic modeling of impact damage, F.J. Moody (ed.), Amer. Soc. of Mech. Eng., New York, 489, 197-205, 2004.
-
S.A. Silling and E. Askari, Peridynamic modeling of impact damage, F.J. Moody (ed.), Amer. Soc. of Mech. Eng., New York, 489, 197-205, 2004.
-
-
-
-
36
-
-
17744377618
-
A meshfree method based on the peridynamic model of solid mechanics
-
S.A. Silling and E. Askari, A meshfree method based on the peridynamic model of solid mechanics, Comput. Struct., 83(17-18), 1526-1535, 2005.
-
(2005)
Comput. Struct
, vol.83
, Issue.17-18
, pp. 1526-1535
-
-
Silling, S.A.1
Askari, E.2
-
37
-
-
6344294007
-
Peridynamic modeling of membranes and fibers
-
S.A. Silling and F. Bobaru, Peridynamic modeling of membranes and fibers, Int. J. Nonlinear Mech., 40, 395-409, 2005.
-
(2005)
Int. J. Nonlinear Mech
, vol.40
, pp. 395-409
-
-
Silling, S.A.1
Bobaru, F.2
-
38
-
-
3543049974
-
Deformation of a peridynamic bar
-
S.A. Silling, M. Zimmermann and R. Abeyaratne, Deformation of a peridynamic bar, J. Elasticity, 73, 173-190, 2003.
-
(2003)
J. Elasticity
, vol.73
, pp. 173-190
-
-
Silling, S.A.1
Zimmermann, M.2
Abeyaratne, R.3
-
40
-
-
0027239359
-
Uniqueness in generalized nonlocal thermoelasticity
-
J. Wang and R.S. Dhaliwal, Uniqueness in generalized nonlocal thermoelasticity, J. Thermal Stresses, 16, 71-77, 1993.
-
(1993)
J. Thermal Stresses
, vol.16
, pp. 71-77
-
-
Wang, J.1
Dhaliwal, R.S.2
-
41
-
-
0027313753
-
On some theorems in the nonlocal theory of micropolar elasticity
-
J. Wang and R.S. Dhaliwal, On some theorems in the nonlocal theory of micropolar elasticity, Int. J. Solids Structures, 30(10), 1331-1338, 1993.
-
(1993)
Int. J. Solids Structures
, vol.30
, Issue.10
, pp. 1331-1338
-
-
Wang, J.1
Dhaliwal, R.S.2
-
42
-
-
12344302299
-
The effect of long-range forces on the dynamics of a bar
-
O. Weckner and R. Abeyaratne, The effect of long-range forces on the dynamics of a bar, J. Mech. Phys. Solids, 53(3), 705-728, 2005.
-
(2005)
J. Mech. Phys. Solids
, vol.53
, Issue.3
, pp. 705-728
-
-
Weckner, O.1
Abeyaratne, R.2
-
43
-
-
33947617755
-
Numerical simulation of the dynamics of a nonlocal, inhomogeneous, infinite bar
-
O. Weckner and E. Emmrich, Numerical simulation of the dynamics of a nonlocal, inhomogeneous, infinite bar, J. Comp. Appl. Mech., 6(2), 311-319, 2005.
-
(2005)
J. Comp. Appl. Mech
, vol.6
, Issue.2
, pp. 311-319
-
-
Weckner, O.1
Emmrich, E.2
|