-
2
-
-
34547955474
-
Nonlinear problems of elasticity
-
Springer, New York
-
Antman, S. S. Nonlinear problems of elasticity. Applied Mathematical Sciences 107. Springer, New York, 1995.
-
(1995)
Applied Mathematical Sciences
, vol.107
-
-
Antman, S.S.1
-
3
-
-
0028466769
-
Dimension reduction in variational problems, asymptotic development in Γ-convergence and thin structures in elasticity
-
Anzellotti, G.; Baldo, S.; Percivale, D. Dimension reduction in variational problems, asymptotic development in Γ-convergence and thin structures in elasticity. Asymptotic Anal. 9 (1994), no. 1, 61-100.
-
(1994)
Asymptotic Anal.
, vol.9
, Issue.1
, pp. 61-100
-
-
Anzellotti, G.1
Baldo, S.2
Percivale, D.3
-
4
-
-
0017417265
-
Convexity conditions and existence theorems in nonlinear elasticity
-
Ball, J. M. Convexity conditions and existence theorems in nonlinear elasticity. Arch. Rational Mech. Anal. 63 (1976/77), no. 4, 337-403.
-
(1976)
Arch. Rational Mech. Anal.
, vol.63
, Issue.4
, pp. 337-403
-
-
Ball, J.M.1
-
6
-
-
0012945614
-
Rigorous bounds for the Föppl-von Kármán theory of isotropically compressed plates
-
Ben Belgacem, H.; Conti, S.; DeSimone, A.; Müller, S. Rigorous bounds for the Föppl-von Kármán theory of isotropically compressed plates. J. Nonlinear Sci. 10 (2000), no. 6, 661-683.
-
(2000)
J. Nonlinear Sci.
, vol.10
, Issue.6
, pp. 661-683
-
-
Ben Belgacem, H.1
Conti, S.2
DeSimone, A.3
Müller, S.4
-
8
-
-
0033098284
-
A theory of thin films of martensitic materials with applications to microactuators
-
Bhattacharya, K.; James, R. D. A theory of thin films of martensitic materials with applications to microactuators. J. Mech. Phys. Solids 47 (1999), no. 3, 531-576.
-
(1999)
J. Mech. Phys. Solids
, vol.47
, Issue.3
, pp. 531-576
-
-
Bhattacharya, K.1
James, R.D.2
-
10
-
-
0033517274
-
Conical dislocations in crumpling
-
Cerda, E.; Chaieb, S.; Melo, F.; Mahadevan, L. Conical dislocations in crumpling. Nature 401 (1999), 46-49.
-
(1999)
Nature
, vol.401
, pp. 46-49
-
-
Cerda, E.1
Chaieb, S.2
Melo, F.3
Mahadevan, L.4
-
11
-
-
0010664727
-
Mathematical elasticity. Vol. II. Theory of plates
-
North-Holland, Amsterdam
-
Ciarlet, P. G. Mathematical elasticity. Vol. II. Theory of plates. Studies in Mathematics and Its Applications, 27. North-Holland, Amsterdam, 1997.
-
(1997)
Studies in Mathematics and Its Applications
, vol.27
-
-
Ciarlet, P.G.1
-
14
-
-
41349099118
-
Singularities, structures, and scaling in deformed m-dimensional elastic manifolds
-
DiDonna, B. A.; Witten, T. A.; Venkataramani, S. C.; Kramer, E. M. Singularities, structures, and scaling in deformed m-dimensional elastic manifolds. Phys. Rev. E (3) 65 (2002), no. 1, part 2, 016603. Available online at: http://www.arxiv.org/abs/math- ph/0101002.
-
(2002)
Phys. Rev. E (3)
, vol.65
, Issue.1 PART 2
, pp. 016603
-
-
DiDonna, B.A.1
Witten, T.A.2
Venkataramani, S.C.3
Kramer, E.M.4
-
15
-
-
0040194290
-
Uniqueness and maximal regularity for nonlinear elliptic systems of n-Laplace type with measure valued right hand side
-
Dolzmann, G.; Hungerbühler, N.; Müller, S. Uniqueness and maximal regularity for nonlinear elliptic systems of n-Laplace type with measure valued right hand side. J. Reine Angew. Math. 520 (2000), 1-35.
-
(2000)
J. Reine Angew. Math.
, vol.520
, pp. 1-35
-
-
Dolzmann, G.1
Hungerbühler, N.2
Müller, S.3
-
16
-
-
0000514542
-
Additamentum I. De curvis elasticis
-
Lausanne, 1744. Series prima Opera mathematica, 24. Edited by Constantin Carathéodory. Birkhäuser, Bäsel, Switzerland
-
Euler, L. Additamentum I. De curvis elasticis. Methodus inveniendi lineas curvas maximi minimive proprietate gaudentes sive solutio problematis isoperimetrici latissimo sensu accepti, 231-297. Lausanne, 1744. Series prima Opera mathematica, 24. Edited by Constantin Carathéodory. Birkhäuser, Bäsel, Switzerland, 1967.
-
(1967)
Methodus Inveniendi Lineas Curvas Maximi Minimive Proprietate Gaudentes Sive Solutio Problematis Isoperimetrici Latissimo Sensu Accepti
, pp. 231-297
-
-
Euler, L.1
-
17
-
-
0003346795
-
Measure theory and fine properties of functions
-
CRC, Boca Raton, Fla.
-
Evans, L. C.; Gariepy, R. F. Measure theory and fine properties of functions. Studies in Advanced Mathematics. CRC, Boca Raton, Fla., 1992.
-
(1992)
Studies in Advanced Mathematics
-
-
Evans, L.C.1
Gariepy, R.F.2
-
18
-
-
0032217873
-
3D-2D asymptotic analysis of an optimal design problem for thin films
-
Fonseca, I.; Francfort, G. 3D-2D asymptotic analysis of an optimal design problem for thin films. J. Reine Angew. Math. 505 (1998), 173-202.
-
(1998)
J. Reine Angew. Math.
, vol.505
, pp. 173-202
-
-
Fonseca, I.1
Francfort, G.2
-
19
-
-
0141971027
-
Derivation of nonlinear bending theory for shells from three dimensional nonlinear elasticity by Γ-convergence
-
Max-Planck Institut für Mathematik in den Naturwissenschaften, Leipzig, preprint 10/2002. in press
-
Friesecke, G.; James, R. D.; Mora, M. G.; Müller, S. Derivation of nonlinear bending theory for shells from three dimensional nonlinear elasticity by Γ-convergence. Max-Planck Institut für Mathematik in den Naturwissenschaften, Leipzig, preprint 10/2002. Available online at: http://www.mis.mpg.de/preprints/2002/prepr2002_10.html. C. R. Acad. Sci. Paris, in press.
-
C. R. Acad. Sci. Paris
-
-
Friesecke, G.1
James, R.D.2
Mora, M.G.3
Müller, S.4
-
20
-
-
0013035575
-
Rigorous derivation of nonlinear plate theory and geometric rigidity
-
Friesecke, G.; Müller, S.; James, R. D. Rigorous derivation of nonlinear plate theory and geometric rigidity. C. R. Math. Acad. Sci. Paris 334 (2002), no. 2, 173-178.
-
(2002)
C. R. Math. Acad. Sci. Paris
, vol.334
, Issue.2
, pp. 173-178
-
-
Friesecke, G.1
Müller, S.2
James, R.D.3
-
21
-
-
77956671586
-
Delamination of compressed thin films
-
Gioia, G.; Ortiz, M. Delamination of compressed thin films. Adv. Appl. Mech. 33 (1997), 119-192.
-
(1997)
Adv. Appl. Mech.
, vol.33
, pp. 119-192
-
-
Gioia, G.1
Ortiz, M.2
-
22
-
-
0004743458
-
Theory of diffusionless phase transitions
-
PDEs and continuum models of phase transitions (Nice, 1988), Springer, Berlin
-
James, R.; Kinderlehrer, D. Theory of diffusionless phase transitions. PDEs and continuum models of phase transitions (Nice, 1988), 51-84. Lecture Notes in Physics, 344. Springer, Berlin, 1989.
-
(1989)
Lecture Notes in Physics
, vol.344
, pp. 51-84
-
-
James, R.1
Kinderlehrer, D.2
-
23
-
-
0035586170
-
Energy estimates for the von Kármán model of thin-film blistering
-
Jin, W.; Sternberg, P. Energy estimates for the von Kármán model of thin-film blistering. J. Math. Phys. 42 (2001), no. 1, 192-199.
-
(2001)
J. Math. Phys.
, vol.42
, Issue.1
, pp. 192-199
-
-
Jin, W.1
Sternberg, P.2
-
24
-
-
84980088555
-
Rotation and strain
-
John, F. Rotation and strain. Comm. Pure Appl. Math. 14 (1961), 391-413.
-
(1961)
Comm. Pure Appl. Math.
, vol.14
, pp. 391-413
-
-
John, F.1
-
25
-
-
0037908374
-
Bounds for deformations in terms of average strains
-
Academic, New York
-
John, F. Bounds for deformations in terms of average strains. Inequalities, III (Proc. Third Sympos., Univ. California, Los Angeles, Calif., 1969; dedicated to the memory of Theodore S. Motzkin), 129-144. Academic, New York, 1972.
-
(1972)
Inequalities, III (Proc. Third Sympos., Univ. California, Los Angeles, Calif., 1969; Dedicated to the Memory of Theodore S. Motzkin)
, pp. 129-144
-
-
John, F.1
-
26
-
-
84930244279
-
Über das Gleichgewicht und die Bewegung einer elastischen Scheibe
-
Kirchhoff, G. Über das Gleichgewicht und die Bewegung einer elastischen Scheibe. J. Reine Angew. Math. 40 (1850), 51-88.
-
(1850)
J. Reine Angew. Math.
, vol.40
, pp. 51-88
-
-
Kirchhoff, G.1
-
27
-
-
0038245977
-
New integral estimates for deformations in terms of their nonlinear strains
-
Kahn, R. V. New integral estimates for deformations in terms of their nonlinear strains. Arch. Rational Mech. Anal. 78 (1982), no. 2, 131-172.
-
(1982)
Arch. Rational Mech. Anal.
, vol.78
, Issue.2
, pp. 131-172
-
-
Kahn, R.V.1
-
29
-
-
0001331060
-
Le modèle de membrane non linéaire comme limite variationnelle de l'élasticité non linéaire tridimensionnelle
-
Le Dret, H.; Raoult, A. Le modèle de membrane non linéaire comme limite variationnelle de l'élasticité non linéaire tridimensionnelle. C. R. Acad. Sci. Paris Sér. I Math. 317 (1993), no. 2, 221-226.
-
(1993)
C. R. Acad. Sci. Paris Sér. I Math.
, vol.317
, Issue.2
, pp. 221-226
-
-
Le Dret, H.1
Raoult, A.2
-
30
-
-
0000312494
-
The nonlinear membrane model as variational limit of nonlinear three- Dimensional elasticity
-
Le Dret, H.; Raoult, A. The nonlinear membrane model as variational limit of nonlinear three- dimensional elasticity. J. Math. Pures Appl. (9) 74 (1995), no. 6, 549-578.
-
(1995)
J. Math. Pures Appl. (9)
, vol.74
, Issue.6
, pp. 549-578
-
-
Le Dret, H.1
Raoult, A.2
-
31
-
-
1842611371
-
The membrane shell model in nonlinear elasticity: A variational asymptotic derivation
-
Le Dret, H.; Raoult, A. The membrane shell model in nonlinear elasticity: a variational asymptotic derivation. J. Nonlinear Sci. 6 (1996), no. 1, 59-84.
-
(1996)
J. Nonlinear Sci.
, vol.6
, Issue.1
, pp. 59-84
-
-
Le Dret, H.1
Raoult, A.2
-
32
-
-
84966240469
-
Uniformly fat sets
-
Lewis, J. L. Uniformly fat sets. Trans. Amer. Math. Soc. 308 (1988), no. 1, 177-196.
-
(1988)
Trans. Amer. Math. Soc.
, vol.308
, Issue.1
, pp. 177-196
-
-
Lewis, J.L.1
-
33
-
-
0001278224
-
A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces
-
Li, P.; Yau, S.-T. A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces. Invent. Math. 69 (1982), no. 2, 269-291.
-
(1982)
Invent. Math.
, vol.69
, Issue.2
, pp. 269-291
-
-
Li, P.1
Yau, S.-T.2
-
34
-
-
0000708610
-
A Luzin type property of Sobolev functions
-
Liu, F. C. A Luzin type property of Sobolev functions. Indiana Univ. Math. J. 26 (1977), no. 4, 645-651.
-
(1977)
Indiana Univ. Math. J.
, vol.26
, Issue.4
, pp. 645-651
-
-
Liu, F.C.1
-
35
-
-
0000580552
-
Boundary layer analysis of the ridge singularity in a thin plate
-
Lobkovsky, E. Boundary layer analysis of the ridge singularity in a thin plate. Phys. Rev. E 53 (1996), 3750-3759.
-
(1996)
Phys. Rev. E
, vol.53
, pp. 3750-3759
-
-
Lobkovsky, E.1
-
36
-
-
0003786889
-
-
Cambridge University Press, Cambridge; Dover, New York
-
th ed. Cambridge University Press, Cambridge, 1927; Dover, New York, 1944.
-
(1927)
th Ed.
-
-
Love, A.E.H.1
-
37
-
-
0029679718
-
On surfaces of finite total curvature
-
Müller, S.; Šverák, V. On surfaces of finite total curvature. J. Differential Geom. 42 (1995), no. 2, 229-258.
-
(1995)
J. Differential Geom.
, vol.42
, Issue.2
, pp. 229-258
-
-
Müller, S.1
Šverák, V.2
-
38
-
-
0012638814
-
Sur une méthode pour résoudre les équations aux dérivées partielles du type elliptique, voisine de la variationnelle
-
Nečas, J. Sur une méthode pour résoudre les équations aux dérivées partielles du type elliptique, voisine de la variationnelle. Ann. Scuola Norm. Sup. Pisa (3) 16 (1962), 305-326.
-
(1962)
Ann. Scuola Norm. Sup. Pisa (3)
, vol.16
, pp. 305-326
-
-
Nečas, J.1
-
39
-
-
0000846881
-
The morphology and folding patterns of buckling-driven thin-film blisters
-
Ortiz, M.; Gioia, G. The morphology and folding patterns of buckling-driven thin-film blisters. J. Mech. Phys. Solids 42 (1994), no. 3, 531-559.
-
(1994)
J. Mech. Phys. Solids
, vol.42
, Issue.3
, pp. 531-559
-
-
Ortiz, M.1
Gioia, G.2
-
40
-
-
0012990486
-
Une justification partielle du modèle de plaque en flexion par Γ-convergence
-
Pantz, O. Une justification partielle du modèle de plaque en flexion par Γ-convergence. C. R. Acad. Sci. Paris Sér. I Math. 332 (2001), no. 6, 587-592.
-
(2001)
C. R. Acad. Sci. Paris Sér. I Math.
, vol.332
, Issue.6
, pp. 587-592
-
-
Pantz, O.1
-
41
-
-
0005233951
-
Liouville's conformal mapping theorem under minimal regularity hypotheses
-
Rešetnjak, J. G. Liouville's conformal mapping theorem under minimal regularity hypotheses. Sibirsk. Mat Ž. 8 (1967), 835-840.
-
(1967)
Sibirsk. Mat Ž.
, vol.8
, pp. 835-840
-
-
Rešetnjak, J.G.1
-
42
-
-
0000526405
-
Existence of surfaces minimizing the Willmore functional
-
Simon, L. Existence of surfaces minimizing the Willmore functional. Comm. Anal. Geom. 1 (1993), no. 2, 281-326.
-
(1993)
Comm. Anal. Geom.
, vol.1
, Issue.2
, pp. 281-326
-
-
Simon, L.1
-
43
-
-
0003201639
-
Singular integrals and differentiability properties of functions
-
Princeton University Press, Princeton, N.J.
-
Stein, E. M. Singular integrals and differentiability properties of functions. Princeton Mathematical Series, 30. Princeton University Press, Princeton, N.J., 1970.
-
(1970)
Princeton Mathematical Series
, vol.30
-
-
Stein, E.M.1
-
44
-
-
0004028728
-
Total curvature in riemannian geometry
-
Ellis Horwood, Chichester; Halsted [Wiley], New York
-
Willmore, T. J. Total curvature in Riemannian geometry. Ellis Horwood Series: Mathematics and Its Applications. Ellis Horwood, Chichester; Halsted [Wiley], New York, 1982.
-
(1982)
Ellis Horwood Series: Mathematics and Its Applications
-
-
Willmore, T.J.1
-
45
-
-
0001485671
-
A construction of quasiconvex functions with linear growth at infinity
-
Zhang, K. A construction of quasiconvex functions with linear growth at infinity. Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 19 (1992), no. 3, 313-326.
-
(1992)
Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4)
, vol.19
, Issue.3
, pp. 313-326
-
-
Zhang, K.1
|