-
1
-
-
34748925841
-
Approximation of functional depending on jumps by elliptic functional via Γ-convergence
-
Ambrosio L., Tortorelli V.M. Approximation of functional depending on jumps by elliptic functional via Γ-convergence. Commun. Pure Appl. Math. 1990, 43(8):999-1036.
-
(1990)
Commun. Pure Appl. Math.
, vol.43
, Issue.8
, pp. 999-1036
-
-
Ambrosio, L.1
Tortorelli, V.M.2
-
2
-
-
0000654840
-
On the approximation of free discontinuity problems
-
Ambrosio L., Tortorelli V.M. On the approximation of free discontinuity problems. Boll. Un. Mat. Ital. B (7) 1992, 6(1):105-123.
-
(1992)
Boll. Un. Mat. Ital. B (7)
, vol.6
, Issue.1
, pp. 105-123
-
-
Ambrosio, L.1
Tortorelli, V.M.2
-
3
-
-
67649359327
-
Regularized formulation of the variational brittle fracture with unilateral contact: numerical experiments
-
Amor H., Marigo J.J., Maurini C. Regularized formulation of the variational brittle fracture with unilateral contact: numerical experiments. J. Mech. Phys. Solids 2009, 57(8):1209-1229.
-
(2009)
J. Mech. Phys. Solids
, vol.57
, Issue.8
, pp. 1209-1229
-
-
Amor, H.1
Marigo, J.J.2
Maurini, C.3
-
5
-
-
0040745183
-
Discrete approximation of a free discontinuity problem
-
Bellettini G., Coscia A. Discrete approximation of a free discontinuity problem. Numer. Funct. Anal. Optim. 1994, 15(3-4):201-224.
-
(1994)
Numer. Funct. Anal. Optim.
, vol.15
, Issue.3-4
, pp. 201-224
-
-
Bellettini, G.1
Coscia, A.2
-
6
-
-
0344062898
-
Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment
-
Belytschko T., Chen H., Xu J., Zi G. Dynamic crack propagation based on loss of hyperbolicity and a new discontinuous enrichment. Int. J. Numer. Methods Eng. 2003, 58(12):1873-1905.
-
(2003)
Int. J. Numer. Methods Eng.
, vol.58
, Issue.12
, pp. 1873-1905
-
-
Belytschko, T.1
Chen, H.2
Xu, J.3
Zi, G.4
-
7
-
-
34247201663
-
Bifurcation and stability issues in gradient theories with softening
-
Benallal A., Marigo J.-J. Bifurcation and stability issues in gradient theories with softening. Modell. Simul. Mater. Sci. Engrg. 2007, 15(1):S283.
-
(2007)
Modell. Simul. Mater. Sci. Engrg.
, vol.15
, Issue.1
-
-
Benallal, A.1
Marigo, J.-J.2
-
8
-
-
0032306463
-
Stable time step estimation for multi-material eulerian hydrocodes
-
Benson D.J. Stable time step estimation for multi-material eulerian hydrocodes. Comput. Methods Appl. Mech. Engrg. 1998, 167(1-2):191-205.
-
(1998)
Comput. Methods Appl. Mech. Engrg.
, vol.167
, Issue.1-2
, pp. 191-205
-
-
Benson, D.J.1
-
9
-
-
78751648559
-
A large deformation, rotation-free, isogeometric shell
-
Benson D.J., Bazilevs Y., Hsu M.C., Hughes T.J.R. A large deformation, rotation-free, isogeometric shell. Comput. Methods Appl. Mech. Engrg. 2011, 200(13-16):1367-1378.
-
(2011)
Comput. Methods Appl. Mech. Engrg.
, vol.200
, Issue.13-16
, pp. 1367-1378
-
-
Benson, D.J.1
Bazilevs, Y.2
Hsu, M.C.3
Hughes, T.J.R.4
-
10
-
-
79958718260
-
Isogeometric finite element data structures based on Bézier extraction of NURBS
-
Borden M.J., Scott M.A., Evans J.A., Hughes T.J.R. Isogeometric finite element data structures based on Bézier extraction of NURBS. Int. J. Numer. Methods Engrg. 2011, 87(1-5):15-47.
-
(2011)
Int. J. Numer. Methods Engrg.
, vol.87
, Issue.1-5
, pp. 15-47
-
-
Borden, M.J.1
Scott, M.A.2
Evans, J.A.3
Hughes, T.J.R.4
-
11
-
-
0033415668
-
Image segmentation with a finite element method
-
Bourdin B. Image segmentation with a finite element method. M2AN Math. Modell. Numer. Anal. 1999, 33(2):229-244.
-
(1999)
M2AN Math. Modell. Numer. Anal.
, vol.33
, Issue.2
, pp. 229-244
-
-
Bourdin, B.1
-
12
-
-
35648980407
-
Numerical implementation of the variational formulation for quasi-static brittle fracture
-
Bourdin B. Numerical implementation of the variational formulation for quasi-static brittle fracture. Interf. Free Bound. 2007, 9(3):411-430.
-
(2007)
Interf. Free Bound.
, vol.9
, Issue.3
, pp. 411-430
-
-
Bourdin, B.1
-
14
-
-
41549084999
-
The variational approach to fracture
-
Bourdin B., Francfort G.A., Marigo J.J. The variational approach to fracture. J. Elast. 2008, 91(1-3):5-148.
-
(2008)
J. Elast.
, vol.91
, Issue.1-3
, pp. 5-148
-
-
Bourdin, B.1
Francfort, G.A.2
Marigo, J.J.3
-
15
-
-
79951681081
-
A time-discrete model for dynamic fracture based on crack regularization
-
Bourdin B., Larsen C., Richardson C. A time-discrete model for dynamic fracture based on crack regularization. Int. J. Fract. 2011, 168(2):133-143.
-
(2011)
Int. J. Fract.
, vol.168
, Issue.2
, pp. 133-143
-
-
Bourdin, B.1
Larsen, C.2
Richardson, C.3
-
17
-
-
77956051522
-
An adaptive finite element approximation of a variational model of brittle fracture
-
Burke S., Ortner C., Süli E. An adaptive finite element approximation of a variational model of brittle fracture. SIAM J. Numer. Anal. 2010, 48(3):980-1012.
-
(2010)
SIAM J. Numer. Anal.
, vol.48
, Issue.3
, pp. 980-1012
-
-
Burke, S.1
Ortner, C.2
Süli, E.3
-
18
-
-
0027610910
-
A time integration algorithm for structural dynamics with improved numerical dissipation: the generalized-alpha method
-
Chung J., Hulbert G.M. A time integration algorithm for structural dynamics with improved numerical dissipation: the generalized-alpha method. J. Appl. Mech. 1993, 60(2):371-375.
-
(1993)
J. Appl. Mech.
, vol.60
, Issue.2
, pp. 371-375
-
-
Chung, J.1
Hulbert, G.M.2
-
19
-
-
35648997733
-
A variational model for fracture mechanics: numerical experiments
-
Del Piero G., Lancioni G., March R. A variational model for fracture mechanics: numerical experiments. J. Mech. Phys. Solids 2007, 55(12):2513-2537.
-
(2007)
J. Mech. Phys. Solids
, vol.55
, Issue.12
, pp. 2513-2537
-
-
Del Piero, G.1
Lancioni, G.2
March, R.3
-
20
-
-
68549096113
-
Critical points of Ambrosio-Tortorelli converge to critical points of Mumford-Shah in the one-dimensional Dirichlet case
-
Francfort G.A., Le N.Q., Serfaty S. Critical points of Ambrosio-Tortorelli converge to critical points of Mumford-Shah in the one-dimensional Dirichlet case. ESAIM: Control Optim. Calc. Var. 2009, 15(3):576-598.
-
(2009)
ESAIM: Control Optim. Calc. Var.
, vol.15
, Issue.3
, pp. 576-598
-
-
Francfort, G.A.1
Le, N.Q.2
Serfaty, S.3
-
21
-
-
0032139947
-
Revisiting brittle fracture as an energy minimization problem
-
Francfort G.A., Marigo J.J. Revisiting brittle fracture as an energy minimization problem. J. Mech. Phys. Solids 1998, 46(8):1319-1342.
-
(1998)
J. Mech. Phys. Solids
, vol.46
, Issue.8
, pp. 1319-1342
-
-
Francfort, G.A.1
Marigo, J.J.2
-
22
-
-
12144268240
-
Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures
-
Giacomini A. Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures. Calc. Var. Partial Diff. Equat. 2005, 22(2):129-172.
-
(2005)
Calc. Var. Partial Diff. Equat.
, vol.22
, Issue.2
, pp. 129-172
-
-
Giacomini, A.1
-
23
-
-
84985759019
-
Improved numerical dissipation for time integration algorithms in structural dynamics
-
Hilber H.M., Hughes T.J.R., Tayler R.L. Improved numerical dissipation for time integration algorithms in structural dynamics. Earthquake Engrg. Struct. Dyn. 1977, 5:283-292.
-
(1977)
Earthquake Engrg. Struct. Dyn.
, vol.5
, pp. 283-292
-
-
Hilber, H.M.1
Hughes, T.J.R.2
Tayler, R.L.3
-
25
-
-
21044443461
-
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
-
Hughes T.J.R., Cottrell J.A., Bazilevs Y. Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. Comput. Methods Appl. Mech. Engrg. 2005, 194:4135-4195.
-
(2005)
Comput. Methods Appl. Mech. Engrg.
, vol.194
, pp. 4135-4195
-
-
Hughes, T.J.R.1
Cottrell, J.A.2
Bazilevs, Y.3
-
26
-
-
52749086594
-
Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: comparison of p-method finite elements with k-method NURBS
-
Hughes T.J.R., Reali A., Sangalli G. Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: comparison of p-method finite elements with k-method NURBS. Comput. Methods Appl. Mech. Engrg. 2008, 197(49-50):4104-4124.
-
(2008)
Comput. Methods Appl. Mech. Engrg.
, vol.197
, Issue.49-50
, pp. 4104-4124
-
-
Hughes, T.J.R.1
Reali, A.2
Sangalli, G.3
-
28
-
-
0030259068
-
Explicit time integration algorithms for structural dynamics with optimal numerical dissipation
-
Hulbert G.M., Chung J. Explicit time integration algorithms for structural dynamics with optimal numerical dissipation. Comput. Methods Appl. Mech. Engrg. 1996, 137:175-188.
-
(1996)
Comput. Methods Appl. Mech. Engrg.
, vol.137
, pp. 175-188
-
-
Hulbert, G.M.1
Chung, J.2
-
29
-
-
0033708577
-
Modes of dynamic shear failure in solids
-
Kalthoff J. Modes of dynamic shear failure in solids. Int. J. Fract. 2000, 101(1):1-31.
-
(2000)
Int. J. Fract.
, vol.101
, Issue.1
, pp. 1-31
-
-
Kalthoff, J.1
-
30
-
-
0000437550
-
Failure mode transition of high rates of shear loading
-
in: C.Y. Chiem, H.D. Kunze, L.W. Meyer, (Eds.), Proceedings of the International Conference on Impact Loading and Dynamic Behavior of Materials.
-
J.F. Kalthoff, S. Winkler. Failure mode transition of high rates of shear loading, in: C.Y. Chiem, H.D. Kunze, L.W. Meyer, (Eds.), Proceedings of the International Conference on Impact Loading and Dynamic Behavior of Materials, vol. 1, 1987, pp. 185-195.
-
(1987)
, vol.1
, pp. 185-195
-
-
Kalthoff, J.F.1
Winkler, S.2
-
31
-
-
4244131779
-
Phase-field model of mode III dynamic fracture
-
Karma A., Kessler D.A., Levine H. Phase-field model of mode III dynamic fracture. Phys. Rev. Lett. 2001, 87(4):045501.
-
(2001)
Phys. Rev. Lett.
, vol.87
, Issue.4
, pp. 045501
-
-
Karma, A.1
Kessler, D.A.2
Levine, H.3
-
32
-
-
19944410522
-
Virtual crack closure technique: history, approach, and applications
-
Krueger R. Virtual crack closure technique: history, approach, and applications. Appl. Mech. Rev. 2004, 57(2):109-143.
-
(2004)
Appl. Mech. Rev.
, vol.57
, Issue.2
, pp. 109-143
-
-
Krueger, R.1
-
33
-
-
58549112645
-
The variational approach to fracture mechanics. a practical application to the French Panthéon in Paris
-
Lancioni G., Royer-Carfagni G. The variational approach to fracture mechanics. a practical application to the French Panthéon in Paris. J. Elast. 2009, 95(1):1-30.
-
(2009)
J. Elast.
, vol.95
, Issue.1
, pp. 1-30
-
-
Lancioni, G.1
Royer-Carfagni, G.2
-
35
-
-
77955673210
-
Existence of solutions to a regularized model of dynamic fracture
-
Larsen C.J., Ortner C., Süli E. Existence of solutions to a regularized model of dynamic fracture. Math. Methods Models Appl. Sci. 2010, 20(7):1021-1048.
-
(2010)
Math. Methods Models Appl. Sci.
, vol.20
, Issue.7
, pp. 1021-1048
-
-
Larsen, C.J.1
Ortner, C.2
Süli, E.3
-
36
-
-
81855176019
-
On linear independence of T-splines blending functions
-
Li X., Zheng J., Sederberg T.W., Hughes T.J.R., Scott M.A. On linear independence of T-splines blending functions. Comput. Aided Geometric Des. 2012, 29(1):63-76.
-
(2012)
Comput. Aided Geometric Des.
, vol.29
, Issue.1
, pp. 63-76
-
-
Li, X.1
Zheng, J.2
Sederberg, T.W.3
Hughes, T.J.R.4
Scott, M.A.5
-
37
-
-
78549262648
-
A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
-
Miehe C., Hofacker M., Welschinger F. A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits. Comput. Methods Appl. Mech. Engrg. 2010, 199(45-48):2765-2778.
-
(2010)
Comput. Methods Appl. Mech. Engrg.
, vol.199
, Issue.45-48
, pp. 2765-2778
-
-
Miehe, C.1
Hofacker, M.2
Welschinger, F.3
-
38
-
-
77956102470
-
Thermodynamically consistent phase-field models of fracture: variational principles and multi-field fe implementations
-
Miehe C., Welschinger F., Hofacker M. Thermodynamically consistent phase-field models of fracture: variational principles and multi-field fe implementations. Int. J. Numer. Methods Engrg. 2010, 83(10):1273-1311.
-
(2010)
Int. J. Numer. Methods Engrg.
, vol.83
, Issue.10
, pp. 1273-1311
-
-
Miehe, C.1
Welschinger, F.2
Hofacker, M.3
-
39
-
-
0024475957
-
An improved implicit-explicit time integration method for structural dynamics
-
Miranda I., Ferencz R.M., Hughes T.J.R. An improved implicit-explicit time integration method for structural dynamics. Earthquake Engrg. Struct. Dyn. 1989, 18:643-653.
-
(1989)
Earthquake Engrg. Struct. Dyn.
, vol.18
, pp. 643-653
-
-
Miranda, I.1
Ferencz, R.M.2
Hughes, T.J.R.3
-
40
-
-
0033349534
-
A finite element method for crack growth without remeshing
-
Moës N., Dolbow J., Belytschko T. A finite element method for crack growth without remeshing. Int. J. Numer. Methods Engrg. 1999, 46(1):131-150.
-
(1999)
Int. J. Numer. Methods Engrg.
, vol.46
, Issue.1
, pp. 131-150
-
-
Moës, N.1
Dolbow, J.2
Belytschko, T.3
-
41
-
-
84990602490
-
Optimal approximations by piecewise smooth functions and associated variational problems
-
Mumford D., Shah J. Optimal approximations by piecewise smooth functions and associated variational problems. Commun. Pure Appl. Math. 1989, 42(5):577-685.
-
(1989)
Commun. Pure Appl. Math.
, vol.42
, Issue.5
, pp. 577-685
-
-
Mumford, D.1
Shah, J.2
-
42
-
-
79955583023
-
Gradient damage models and their use to approximate brittle fracture
-
Pham K., Amor H., Marigo J.J., Maurini C. Gradient damage models and their use to approximate brittle fracture. Int. J. Damage Mech. 2011, 20(4):618-652.
-
(2011)
Int. J. Damage Mech.
, vol.20
, Issue.4
, pp. 618-652
-
-
Pham, K.1
Amor, H.2
Marigo, J.J.3
Maurini, C.4
-
43
-
-
79955596460
-
Construction and analysis of localized responses for gradient damage models in a 1d setting
-
Pham K., Marigo J.J. Construction and analysis of localized responses for gradient damage models in a 1d setting. Vietnam J. Mech. 2009, 31(3-4):233-246.
-
(2009)
Vietnam J. Mech.
, vol.31
, Issue.3-4
, pp. 233-246
-
-
Pham, K.1
Marigo, J.J.2
-
45
-
-
0032282934
-
Dynamic fracture of nominally brittle materials
-
Ravi-Chandar K. Dynamic fracture of nominally brittle materials. Int. J. Fract. 1998, 90(1):83-102.
-
(1998)
Int. J. Fract.
, vol.90
, Issue.1
, pp. 83-102
-
-
Ravi-Chandar, K.1
-
46
-
-
0021502070
-
An experimental investigation into dynamic fracture: III. On steady-state crack propagation and crack branching
-
Ravi-Chandar K., Knauss W.G. An experimental investigation into dynamic fracture: III. On steady-state crack propagation and crack branching. Int. J. Fract. 1984, 26(2):141-154.
-
(1984)
Int. J. Fract.
, vol.26
, Issue.2
, pp. 141-154
-
-
Ravi-Chandar, K.1
Knauss, W.G.2
-
47
-
-
0034115407
-
Failure mode transitions in polymers under high strain rate loading
-
Ravi-Chandar K., Lu J., Yang B., Zhu Z. Failure mode transitions in polymers under high strain rate loading. Int. J. Fract. 2000, 101:33-72.
-
(2000)
Int. J. Fract.
, vol.101
, pp. 33-72
-
-
Ravi-Chandar, K.1
Lu, J.2
Yang, B.3
Zhu, Z.4
-
48
-
-
37849021076
-
The simulation of dynamic crack propagation using the cohesive segments method
-
Remmers J.J.C., de Borst R., Needleman A. The simulation of dynamic crack propagation using the cohesive segments method. J. Mech. Phys. Solids 2008, 56(1):70-92.
-
(2008)
J. Mech. Phys. Solids
, vol.56
, Issue.1
, pp. 70-92
-
-
Remmers, J.J.C.1
de Borst, R.2
Needleman, A.3
-
49
-
-
80052882561
-
Isogeometric finite element data structures based on Bézier extraction of T-splines
-
Scott M.A., Borden M.J., Verhoosel C.V., Hughes T.J.R. Isogeometric finite element data structures based on Bézier extraction of T-splines. Int. J. Numer. Methods Engrg. 2011, 88(2):126-156.
-
(2011)
Int. J. Numer. Methods Engrg.
, vol.88
, Issue.2
, pp. 126-156
-
-
Scott, M.A.1
Borden, M.J.2
Verhoosel, C.V.3
Hughes, T.J.R.4
-
51
-
-
42449161078
-
A comparative study on finite element methods for dynamic fracture
-
Song S.-H., Wang H., Belytschko T. A comparative study on finite element methods for dynamic fracture. Comput. Mech. 2008, 42(2):239-250.
-
(2008)
Comput. Mech.
, vol.42
, Issue.2
, pp. 239-250
-
-
Song, S.-H.1
Wang, H.2
Belytschko, T.3
-
52
-
-
79958740731
-
An isogeometric approach to cohesive zone modeling
-
Verhoosel C.V., Scott M.A., de Borst R., Hughes T.J.R. An isogeometric approach to cohesive zone modeling. Int. J. Numer. Methods Engrg. 2011, 88(1-5):336-360.
-
(2011)
Int. J. Numer. Methods Engrg.
, vol.88
, Issue.1-5
, pp. 336-360
-
-
Verhoosel, C.V.1
Scott, M.A.2
de Borst, R.3
Hughes, T.J.R.4
-
53
-
-
79952222903
-
An isogeometric analysis approach to gradient damage models
-
Verhoosel C.V., Scott M.A., Hughes T.J.R., de Borst R. An isogeometric analysis approach to gradient damage models. Int. J. Numer. Methods Engrg. 2011, 86(1):115-134.
-
(2011)
Int. J. Numer. Methods Engrg.
, vol.86
, Issue.1
, pp. 115-134
-
-
Verhoosel, C.V.1
Scott, M.A.2
Hughes, T.J.R.3
de Borst, R.4
|