-
1
-
-
0001314297
-
A mathematical theory of dilatancy
-
M. Reiner, A mathematical theory of dilatancy. Am. J. Math. 67 (1945) 350-362.
-
(1945)
Am. J. Math.
, vol.67
, pp. 350-362
-
-
Reiner, M.1
-
2
-
-
0001503470
-
Elasticity beyond the elastic limit
-
M. Reiner, Elasticity beyond the elastic limit. Am. J. Math. 70 (1948) 433-446.
-
(1948)
Am. J. Math.
, vol.70
, pp. 433-446
-
-
Reiner, M.1
-
3
-
-
84979325887
-
Das isotrope Elastizitatsgesetz
-
H. Richter, Das isotrope Elastizitatsgesetz. Zeits. Angew. Math. Mech. 28 (1948) 205-209.
-
(1948)
Zeits. Angew. Math. Mech.
, vol.28
, pp. 205-209
-
-
Richter, H.1
-
4
-
-
0001526376
-
Stress-deformation relations for isotropic materials
-
R.S. Rivlin and J.L. Ericksen, Stress-deformation relations for isotropic materials. J. Rat. Mech. Anal. 4 (1955) 323-425.
-
(1955)
J. Rat. Mech. Anal.
, vol.4
, pp. 323-425
-
-
Rivlin, R.S.1
Ericksen, J.L.2
-
5
-
-
2342631763
-
Stress-deformation relations for anisotropic solids
-
G.F. Smith and R.S. Rivlin, Stress-deformation relations for anisotropic solids. Arch. Rat. Mech. Anal. 1 (1957) 107-112.
-
(1957)
Arch. Rat. Mech. Anal.
, vol.1
, pp. 107-112
-
-
Smith, G.F.1
Rivlin, R.S.2
-
6
-
-
84968475548
-
The strain-energy function for anisotropic elastic materials
-
G.F. Smith and R.S. Rivlin, The strain-energy function for anisotropic elastic materials. Trans. Amer. Math. Soc. 88 (1958) 175-193.
-
(1958)
Trans. Amer. Math. Soc.
, vol.88
, pp. 175-193
-
-
Smith, G.F.1
Rivlin, R.S.2
-
7
-
-
0000227803
-
The formulation of constitutive equations in continuum physics
-
A.C. Pipkin and R.S. Rivlin, The formulation of constitutive equations in continuum physics. Arch. Rat. Mech. Anal. 4 (1959) 129-144.
-
(1959)
Arch. Rat. Mech. Anal.
, vol.4
, pp. 129-144
-
-
Pipkin, A.C.1
Rivlin, R.S.2
-
8
-
-
0000198210
-
The derivation of stress-deformation relations for a Stokesian fluid
-
J. Serrin, The derivation of stress-deformation relations for a Stokesian fluid. J. Math. Mech. 8 (1959) 459-468.
-
(1959)
J. Math. Mech.
, vol.8
, pp. 459-468
-
-
Serrin, J.1
-
9
-
-
0000963311
-
Symmetry relations for orthotropic and transversely isotropic materials
-
J.E. Adkins, Symmetry relations for orthotropic and transversely isotropic materials. Arch. Rat. Mech. Anal. 4 (1960) 193-213.
-
(1960)
Arch. Rat. Mech. Anal.
, vol.4
, pp. 193-213
-
-
Adkins, J.E.1
-
10
-
-
33746760844
-
Further symmetry relations for transversely isotropic materials
-
J.E. Adkins, Further symmetry relations for transversely isotropic materials. Arch. Rat. Mech. Anal. 5 (1960) 263-274.
-
(1960)
Arch. Rat. Mech. Anal.
, vol.5
, pp. 263-274
-
-
Adkins, J.E.1
-
11
-
-
10444251895
-
Transversely isotropic fluids
-
J.L. Ericksen, Transversely isotropic fluids. Kolloid Zeitschrift 173 (1960) 117-122.
-
(1960)
Kolloid Zeitschrift
, vol.173
, pp. 117-122
-
-
Ericksen, J.L.1
-
12
-
-
33746668489
-
Further results on the strain-energy function for anisotropic elastic materials
-
G.F. Smith, Further results on the strain-energy function for anisotropic elastic materials. Arch. Rat. Mech. Anal. 10 (1962) 108-118.
-
(1962)
Arch. Rat. Mech. Anal.
, vol.10
, pp. 108-118
-
-
Smith, G.F.1
-
13
-
-
0040022578
-
Material symmetry restrictions on non-polynomial constitutive equations
-
A.C. Pipkin and A.S. Wineman, Material symmetry restrictions on non-polynomial constitutive equations. Arch. Rat. Mech. Anal. 12 (1963) 420-426.
-
(1963)
Arch. Rat. Mech. Anal.
, vol.12
, pp. 420-426
-
-
Pipkin, A.C.1
Wineman, A.S.2
-
14
-
-
0009287225
-
Material symmetry restrictions on constitutive equations
-
A.S. Wineman and A.C. Pipkin, Material symmetry restrictions on constitutive equations. Arch. Rat. Mech. Anal. 17 (1964) 184-214.
-
(1964)
Arch. Rat. Mech. Anal.
, vol.17
, pp. 184-214
-
-
Wineman, A.S.1
Pipkin, A.C.2
-
15
-
-
2342589926
-
A continuum theory of anisotropic fluids
-
A.E. Green, A continuum theory of anisotropic fluids. Proc. Camb. Phil. Soc. 60 (1964) 123-128.
-
(1964)
Proc. Camb. Phil. Soc.
, vol.60
, pp. 123-128
-
-
Green, A.E.1
-
16
-
-
0002565890
-
The Nonlinear Field Theories of Mechanics
-
S. Flügge (ed.), Berlin; Springer-Verlag
-
C. Truesdell and W. Noll, The Nonlinear Field Theories of Mechanics. In: S. Flügge (ed.), Handbuch der Physik, Bd. III/3, Berlin; Springer-Verlag (1965).
-
(1965)
Handbuch der Physik
, vol.3
, Issue.3
-
-
Truesdell, C.1
Noll, W.2
-
17
-
-
0001416793
-
Theory of Invariants
-
A.C. Eringen (ed.), New York: Academic Press
-
A.J.M. Spencer, Theory of Invariants. In: A.C. Eringen (ed.), Continuum Physics, Vol. I. New York: Academic Press (1971).
-
(1971)
Continuum Physics
, vol.1
-
-
Spencer, A.J.M.1
-
20
-
-
0004327536
-
-
CBMS 35, SIAM, second printing, Berlin, New Jersey: Hamilton Press
-
M.E. Gurtin, Topics in Finite Elasticity. CBMS 35, SIAM, second printing, Berlin, New Jersey: Hamilton Press (1993).
-
(1993)
Topics in Finite Elasticity
-
-
Gurtin, M.E.1
-
21
-
-
0018454663
-
A simple derivation of representations for non-polynomial constitutive equations in some cases of anisotropy
-
J.P. Boehler, A simple derivation of representations for non-polynomial constitutive equations in some cases of anisotropy. Zeits. Angew. Math. Mech. 59 (1979) 157-167.
-
(1979)
Zeits. Angew. Math. Mech.
, vol.59
, pp. 157-167
-
-
Boehler, J.P.1
-
22
-
-
0020243053
-
On representations of anisotropic invariants
-
I-Shih Liu, On representations of anisotropic invariants. Int. J. Engng Sci. 20 (1982) 1099-1109.
-
(1982)
Int. J. Engng Sci.
, vol.20
, pp. 1099-1109
-
-
Liu, I.-S.1
-
23
-
-
84972553380
-
Differentiability properties of symmetric and isotropic functions
-
J.M. Ball, Differentiability properties of symmetric and isotropic functions. Duke Math. J. 51 (1984) 699-728.
-
(1984)
Duke Math. J.
, vol.51
, pp. 699-728
-
-
Ball, J.M.1
-
24
-
-
0022187159
-
Tensor function representations as applied to deriving constitutive relations for skewed anisotropy
-
M. Basista, Tensor function representations as applied to deriving constitutive relations for skewed anisotropy. Zeits. Angew. Math. Mech. 65 (1985) 151-158.
-
(1985)
Zeits. Angew. Math. Mech.
, vol.65
, pp. 151-158
-
-
Basista, M.1
-
26
-
-
0028517012
-
A physically motivated set of invariants and tensor generators in the case of transverse isotropy
-
B. Bischoff-Beiermann and O.T. Bruhns, A physically motivated set of invariants and tensor generators in the case of transverse isotropy. Int. J. Engng Sci. 32 (1994) 1531-1552.
-
(1994)
Int. J. Engng Sci.
, vol.32
, pp. 1531-1552
-
-
Bischoff-Beiermann, B.1
Bruhns, O.T.2
-
27
-
-
0028383606
-
2 for isotropic tensor functions
-
2 for isotropic tensor functions. J. Elasticity 34 (1994) 229-238.
-
(1994)
J. Elasticity
, vol.34
, pp. 229-238
-
-
Man, C.-S.1
-
29
-
-
0027675525
-
On transversely isotropic, orthotropic and relatively isotropic functions of symmetric tensors, skewsymmetric tensors and vectors. Part I-V
-
Q.S. Zheng, On transversely isotropic, orthotropic and relatively isotropic functions of symmetric tensors, skewsymmetric tensors and vectors. Part I-V. Int. J. Engng Sci. 31 (1993) 1399-1453.
-
(1993)
Int. J. Engng Sci.
, vol.31
, pp. 1399-1453
-
-
Zheng, Q.S.1
-
30
-
-
0012767703
-
On representations of tensor functions: A review
-
Jan Rychlewski and J.M. Zhang, On representations of tensor functions: A review. Advances in Mechanics 14(4) (1991) 75-94.
-
(1991)
Advances in Mechanics
, vol.14
, Issue.4
, pp. 75-94
-
-
Rychlewski, J.1
Zhang, J.M.2
-
31
-
-
85025220892
-
Theory of tensor function representations: A unified invariant approach to constitutive equations
-
Q.S. Zheng, Theory of tensor function representations: A unified invariant approach to constitutive equations. Appl. Mech. Rev. 47 (1994) 545-587.
-
(1994)
Appl. Mech. Rev.
, vol.47
, pp. 545-587
-
-
Zheng, Q.S.1
-
34
-
-
0038757423
-
Finding the finite groups of symmetries of the sphere
-
M. Senechal, Finding the finite groups of symmetries of the sphere. Amer. Math. Monthly 97 (1990) 329-335.
-
(1990)
Amer. Math. Monthly
, vol.97
, pp. 329-335
-
-
Senechal, M.1
-
37
-
-
34250491112
-
A new representation theorem for isotropic functions. Part II
-
C.C. Wang, A new representation theorem for isotropic functions. Part II. Arch. Rat. Mech. Anal. 36 (1970) 198-223.
-
(1970)
Arch. Rat. Mech. Anal.
, vol.36
, pp. 198-223
-
-
Wang, C.C.1
-
38
-
-
2342518653
-
A general representation theorem for anisotropic invariants
-
W. Z. Chien et al (eds), Beijing: Peking University Press
-
H. Xiao and Z.H. Guo, A general representation theorem for anisotropic invariants. In: W. Z. Chien et al (eds), Proceedings of the 2nd International Conference on Nonlinear Mechanics, pp. 206-210. Beijing: Peking University Press (1993).
-
(1993)
Proceedings of the 2nd International Conference on Nonlinear Mechanics
, pp. 206-210
-
-
Xiao, H.1
Guo, Z.H.2
-
39
-
-
2342581972
-
A unified theory of representations for anisotropic tensor function of vectors and second order tensors
-
Beijing
-
H. Xiao, A unified theory of representations for anisotropic tensor function of vectors and second order tensors. Peking University Dept. of Math. and Inst. of Math. Research Report No. 8, Beijing (1995); Arch. Mech. (in press).
-
(1995)
Peking University Dept. of Math. and Inst. of Math. Research Report
, vol.8
-
-
Xiao, H.1
-
40
-
-
2342459538
-
-
in press
-
H. Xiao, A unified theory of representations for anisotropic tensor function of vectors and second order tensors. Peking University Dept. of Math. and Inst. of Math. Research Report No. 8, Beijing (1995); Arch. Mech. (in press).
-
Arch. Mech.
-
-
-
41
-
-
0029288876
-
General irreducible representations for constitutive equations of elastic crystals and transversely isotropic elastic solids
-
H. Xiao, General irreducible representations for constitutive equations of elastic crystals and transversely isotropic elastic solids. J. Elasticity 39 (1995) 47-73.
-
(1995)
J. Elasticity
, vol.39
, pp. 47-73
-
-
Xiao, H.1
-
42
-
-
33747796882
-
Two general representation theorems for arbitrary-order-tensor-valued isotropic and anisotropic tensor functions of vectors and second order tensors
-
H. Xiao, Two general representation theorems for arbitrary-order-tensor-valued isotropic and anisotropic tensor functions of vectors and second order tensors. Zeits. Angew. Math. Mech. 76 (1996) 151-162.
-
(1996)
Zeits. Angew. Math. Mech.
, vol.76
, pp. 151-162
-
-
Xiao, H.1
-
43
-
-
21344441069
-
On isotropic extension of anisotropic tensor functions
-
H. Xiao, On isotropic extension of anisotropic tensor functions. Zeits. Angew. Math. Mech. 76 (1996) 205-214.
-
(1996)
Zeits. Angew. Math. Mech.
, vol.76
, pp. 205-214
-
-
Xiao, H.1
-
44
-
-
0040022577
-
On representations of anisotropic scalar functions of a single symmetric tensor
-
H. Xiao, On representations of anisotropic scalar functions of a single symmetric tensor. Proc. Roy. Soc. London A 452 (1996) 1545-1561.
-
(1996)
Proc. Roy. Soc. London A
, vol.452
, pp. 1545-1561
-
-
Xiao, H.1
-
45
-
-
0030261294
-
On minimal representations for constitutive equations of anisotropic elastic materials
-
H. Xiao, On minimal representations for constitutive equations of anisotropic elastic materials. J. Elasticity 45 (1996) 13-32.
-
(1996)
J. Elasticity
, vol.45
, pp. 13-32
-
-
Xiao, H.1
-
46
-
-
2342643286
-
On anisotropic invariants of a single symmetric tensor: Crystal classes, quasicrystal classes and others
-
in press
-
H. Xiao, On anisotropic invariants of a single symmetric tensor: crystal classes, quasicrystal classes and others. Proc. Roy. Soc. London A. (in press).
-
Proc. Roy. Soc. London A
-
-
Xiao, H.1
-
47
-
-
3242853421
-
Further results on general representation theorems for arbitrary-order-tensor-valued isotropic and anisotropic tensor functions of vectors and second order tensors
-
to appear
-
H. Xiao, Further results on general representation theorems for arbitrary-order-tensor-valued isotropic and anisotropic tensor functions of vectors and second order tensors. Zeits. Angew. Math. Mech. (to appear).
-
Zeits. Angew. Math. Mech.
-
-
Xiao, H.1
|