-
1
-
-
0000890504
-
Finite-difference approximation of energies in fracture mechanics
-
Zbl 1072.49020 MR 1817714
-
ALICANDRO, R., FOCARDI, M., & GELLI, M. S. Finite-difference approximation of energies in fracture mechanics. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 29 (2000), 671-709. Zbl 1072.49020 MR 1817714
-
(2000)
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)
, vol.29
, pp. 671-709
-
-
ALICANDRO, R.1
FOCARDI, M.2
GELLI, M.S.3
-
2
-
-
0031522012
-
Fine properties of functions with bounded deformation
-
Zbl 0890.49019 MR 1480240
-
AMBROSIO, L., COSCIA, A., & DAL MASO, G. Fine properties of functions with bounded deformation. Arch. Ration. Mech. Anal. 139 (1997), 201-238. Zbl 0890.49019 MR 1480240
-
(1997)
Arch. Ration. Mech. Anal
, vol.139
, pp. 201-238
-
-
AMBROSIO, L.1
COSCIA, A.2
DAL MASO, G.3
-
3
-
-
35649019509
-
-
AMBROSIO, L., FUSCO, N., & PALLARA, D. Functions of Bounded Variation and Free Discontinuity Problems. Oxford Math. Monogr., Oxford Univ. Press, New York (2000). Zbl 0890.49019 MR 1857292
-
AMBROSIO, L., FUSCO, N., & PALLARA, D. Functions of Bounded Variation and Free Discontinuity Problems. Oxford Math. Monogr., Oxford Univ. Press, New York (2000). Zbl 0890.49019 MR 1857292
-
-
-
-
4
-
-
0001592920
-
Nonlocal smeared cracking model for concrete fracture
-
BAŽANT, Z. P., & LIN, F. B. Nonlocal smeared cracking model for concrete fracture. J. Structural Engrg. 114 (1988), 2493-2510.
-
(1988)
J. Structural Engrg
, vol.114
, pp. 2493-2510
-
-
BAŽANT, Z.P.1
LIN, F.B.2
-
5
-
-
0032105153
-
Compactness and lower semicontinuity properties in SBD(Ω)
-
Zbl 0914.46007 MR 1630504
-
BELLETTINI, G., COSCIA, A., & DAL MASO, G. Compactness and lower semicontinuity properties in SBD(Ω). Math. Z. 228 (1998), 337-351. Zbl 0914.46007 MR 1630504
-
(1998)
Math. Z
, vol.228
, pp. 337-351
-
-
BELLETTINI, G.1
COSCIA, A.2
DAL MASO, G.3
-
6
-
-
0034412473
-
Implementation of an adaptive finite-element approximation of the Mumford-Shah functional
-
Zbl 0961.65062 MR 1771782
-
BOURDIN, B., & CHAMBOLLE, A. Implementation of an adaptive finite-element approximation of the Mumford-Shah functional. Numer. Math. 85 (2000), 609-646. Zbl 0961.65062 MR 1771782
-
(2000)
Numer. Math
, vol.85
, pp. 609-646
-
-
BOURDIN, B.1
CHAMBOLLE, A.2
-
7
-
-
0033891792
-
Numerical experiments in revisited brittle fracture
-
Zbl 0995.74057 MR 1745759
-
BOURDIN, B., FRANCFORT, G. A., & MARIGO, J. J. Numerical experiments in revisited brittle fracture. J. Mech. Phys. Solids 48 (2000), 797-826. Zbl 0995.74057 MR 1745759
-
(2000)
J. Mech. Phys. Solids
, vol.48
, pp. 797-826
-
-
BOURDIN, B.1
FRANCFORT, G.A.2
MARIGO, J.J.3
-
8
-
-
35649025107
-
-
BRAIDES, A. Approximation of Free-Discontinuity Problems, Lecture Notes in Math. 1694, Springer, Berlin (1998). Zbl 0909.49001 MR 1651773
-
BRAIDES, A. Approximation of Free-Discontinuity Problems, Lecture Notes in Math. 1694, Springer, Berlin (1998). Zbl 0909.49001 MR 1651773
-
-
-
-
9
-
-
0000121920
-
Non-local approximation of the Mumford-Shah functional
-
Zbl 0873.49009 MR 1450713
-
BRAIDES, A., & DAL MASO, G. Non-local approximation of the Mumford-Shah functional. Calc. Var. Partial Differential Equations 5 (1997), 293-322. Zbl 0873.49009 MR 1450713
-
(1997)
Calc. Var. Partial Differential Equations
, vol.5
, pp. 293-322
-
-
BRAIDES, A.1
DAL MASO, G.2
-
10
-
-
0029328073
-
Image segmentation by variational methods: Mumford and Shah functional and the discrete approximations
-
Zbl 0830.49015 MR 1331589
-
CHAMBOLLE, A. Image segmentation by variational methods: Mumford and Shah functional and the discrete approximations. SIAM J. Appl. Math. 55 (1995), 827-863. Zbl 0830.49015 MR 1331589
-
(1995)
SIAM J. Appl. Math
, vol.55
, pp. 827-863
-
-
CHAMBOLLE, A.1
-
11
-
-
0038806783
-
A density result in two-dimensional linearized elasticity, and applications
-
Zbl 1030.74007 MR 1978582
-
CHAMBOLLE, A. A density result in two-dimensional linearized elasticity, and applications. Arch. Ration. Mech. Anal. 167 (2003), 211-233. Zbl 1030.74007 MR 1978582
-
(2003)
Arch. Ration. Mech. Anal
, vol.167
, pp. 211-233
-
-
CHAMBOLLE, A.1
-
12
-
-
3042800094
-
An approximation result for special functions with bounded deformation
-
Zbl pre02118455 MR 2074682
-
CHAMBOLLE, A. An approximation result for special functions with bounded deformation. J. Math. Pures Appl. (9) 83 (2004), 929-954. Zbl pre02118455 MR 2074682
-
(2004)
J. Math. Pures Appl. (9)
, vol.83
, pp. 929-954
-
-
CHAMBOLLE, A.1
-
13
-
-
0033438682
-
Discrete approximation of the Mumford-Shah functional in dimension two
-
Zbl 0943.49011 MR 1726478
-
CHAMBOLLE, A., & DAL MASO, G. Discrete approximation of the Mumford-Shah functional in dimension two. M2AN Math. Model. Numer. Anal. 33 (1999), 651-672. Zbl 0943.49011 MR 1726478
-
(1999)
M2AN Math. Model. Numer. Anal
, vol.33
, pp. 651-672
-
-
CHAMBOLLE, A.1
DAL MASO, G.2
-
14
-
-
0033229355
-
A density result in SBV with respect to non-isotropic energies
-
Zbl 0939.49024 MR 1709990
-
CORTESANI, G., & TOADER, R. A density result in SBV with respect to non-isotropic energies. Nonlinear Anal. 38 (1999), 585-604. Zbl 0939.49024 MR 1709990
-
(1999)
Nonlinear Anal
, vol.38
, pp. 585-604
-
-
CORTESANI, G.1
TOADER, R.2
-
15
-
-
35648950892
-
-
DAL MASO, G. An Introduction to Γ- Convergence. Progr. Nonlinear Differential Equations Appl. 8, Birkhäuser, Boston, MA (1993). Zbl 0816.49001 MR 1201152
-
DAL MASO, G. An Introduction to Γ- Convergence. Progr. Nonlinear Differential Equations Appl. 8, Birkhäuser, Boston, MA (1993). Zbl 0816.49001 MR 1201152
-
-
-
-
16
-
-
17744387968
-
Quasistatic crack growth in nonlinear elasticity
-
Zbl 1064.74150 MR 2186036
-
DAL MASO, G., FRANCFORT, G. A., & TOADER, R. Quasistatic crack growth in nonlinear elasticity. Arch. Ration. Mech. Anal. 176 (2005), 165-225. Zbl 1064.74150 MR 2186036
-
(2005)
Arch. Ration. Mech. Anal
, vol.176
, pp. 165-225
-
-
DAL MASO, G.1
FRANCFORT, G.A.2
TOADER, R.3
-
17
-
-
0032139947
-
Revisiting brittle fracture as an energy minimization problem
-
Zbl 0966.74060 MR 1633984
-
FRANCFORT, G. A., & MARIGO, J. J. Revisiting brittle fracture as an energy minimization problem. J. Mech. Phys. Solids 46 (1998), 1319-1342. Zbl 0966.74060 MR 1633984
-
(1998)
J. Mech. Phys. Solids
, vol.46
, pp. 1319-1342
-
-
FRANCFORT, G.A.1
MARIGO, J.J.2
-
18
-
-
35648999284
-
-
GRASSL, P., & JIRÁSEK, M. On mesh bias of local damage models for concrete. Fracture Mechanics of Concrete Structures (FRAMCOS-5, Vail, CO, 2004), 255-262.
-
GRASSL, P., & JIRÁSEK, M. On mesh bias of local damage models for concrete. Fracture Mechanics of Concrete Structures (FRAMCOS-5, Vail, CO, 2004), 255-262.
-
-
-
-
19
-
-
0032207233
-
Nonlocal models for damage and fracture: Comparison of approaches
-
Zbl 0930.74054 MR 1638122
-
JIRÁSEK, M. Nonlocal models for damage and fracture: comparison of approaches. Internat. J. Solids Structures 35 (1998), 4133-4145. Zbl 0930.74054 MR 1638122
-
(1998)
Internat. J. Solids Structures
, vol.35
, pp. 4133-4145
-
-
JIRÁSEK, M.1
-
20
-
-
33947255940
-
Convergence of non-local finite element energies for fracture mechanics
-
LUSSARDI, L., & NEGRI, M. Convergence of non-local finite element energies for fracture mechanics. Numer. Funct. Anal. Optim. 28 (2007), 83-109.
-
(2007)
Numer. Funct. Anal. Optim
, vol.28
, pp. 83-109
-
-
LUSSARDI, L.1
NEGRI, M.2
-
21
-
-
2942746162
-
-
MOSLER, J., & MESCHKE, G. Embedded crack vs. smeared crack models: a comparison of elementwise discontinuous crack path approaches with emphasis on mesh bias. Comput. Methods Appl. Mech. Engrg. 193 (2004), 3351-3375. Zbl 1060.74606
-
MOSLER, J., & MESCHKE, G. Embedded crack vs. smeared crack models: a comparison of elementwise discontinuous crack path approaches with emphasis on mesh bias. Comput. Methods Appl. Mech. Engrg. 193 (2004), 3351-3375. Zbl 1060.74606
-
-
-
-
22
-
-
0033354962
-
The anisotropy introduced by the mesh in the finite element approximation of the Mumford-Shah functional
-
Zbl 0953.49024 MR 1728172
-
NEGRI, M. The anisotropy introduced by the mesh in the finite element approximation of the Mumford-Shah functional. Numer. Funct. Anal. Optim. 20 (1999), 957-982. Zbl 0953.49024 MR 1728172
-
(1999)
Numer. Funct. Anal. Optim
, vol.20
, pp. 957-982
-
-
NEGRI, M.1
-
23
-
-
0242308004
-
A finite element approximation of the Griffith's model in fracture mechanics
-
Zbl 1068.74080 MR 2013123
-
NEGRI, M. A finite element approximation of the Griffith's model in fracture mechanics. Numer. Math. 95 (2003), 653-687. Zbl 1068.74080 MR 2013123
-
(2003)
Numer. Math
, vol.95
, pp. 653-687
-
-
NEGRI, M.1
-
24
-
-
30344452638
-
A non-local approximation of free discontinuity problems in SBV and SBD
-
Zbl pre05009624 MR 2183854
-
NEGRI, M. A non-local approximation of free discontinuity problems in SBV and SBD. Calc. Var. Partial Differential Equations 25 (2006), 33-62. Zbl pre05009624 MR 2183854
-
(2006)
Calc. Var. Partial Differential Equations
, vol.25
, pp. 33-62
-
-
NEGRI, M.1
-
25
-
-
0024608212
-
-
OLIVER, J. A consistent characteristic length for smeared cracking models. Int. J. Numer. Methods Engrg. 28 (1989), 461-474. Zbl 0676.73066
-
OLIVER, J. A consistent characteristic length for smeared cracking models. Int. J. Numer. Methods Engrg. 28 (1989), 461-474. Zbl 0676.73066
-
-
-
-
26
-
-
0025467588
-
Crack propagation in monolithic ceramics under mixed mode loading
-
ORTIZ, M., & GIANNAKOPOULOS, K. Crack propagation in monolithic ceramics under mixed mode loading. Internat. J. Fracture 44 (1990), 233-258.
-
(1990)
Internat. J. Fracture
, vol.44
, pp. 233-258
-
-
ORTIZ, M.1
GIANNAKOPOULOS, K.2
-
27
-
-
49949129710
-
Analysis of prestressed concrete pressure vessels
-
RASHID, Y. R. Analysis of prestressed concrete pressure vessels. Nuclear Engrg. Design 7 (1968), 334-344.
-
(1968)
Nuclear Engrg. Design
, vol.7
, pp. 334-344
-
-
RASHID, Y.R.1
-
28
-
-
0032052022
-
-
WEIHE, S., KRÖPLIN, B., & DE BORST, R. Classification of smeared crack models based on material and structural properties. Internat. J. Solids Structures 35 (1998), 1289-1308. Zbl 0932.74005
-
WEIHE, S., KRÖPLIN, B., & DE BORST, R. Classification of smeared crack models based on material and structural properties. Internat. J. Solids Structures 35 (1998), 1289-1308. Zbl 0932.74005
-
-
-
|