-
1
-
-
0041315110
-
Methods of computer modeling in engineering and the sciences, I: A unified treatment of finite volume, finite element, field-boundary element, meshless, and boundary methods
-
Atluri 2005, Tech Science Press, Forsyth, GA
-
[Atluri 2005] S. N. Atluri, Methods of computer modeling in engineering and the sciences, I: A unified treatment of finite volume, finite element, field-boundary element, meshless, and boundary methods, Tech Science Press, Forsyth, GA, 2005.
-
(2005)
-
-
Atluri, S.N.1
-
2
-
-
70350164756
-
A modified Newton method for solving non-linear algebraic equations
-
Atluri et al. 2009
-
[Atluri et al. 2009] S. N. Atluri, C.-S. Liu, and C.-L. Kuo, "A modified Newton method for solving non-linear algebraic equations", J. Marine Sci. and Tech. 17:3 (2009), 238-247.
-
(2009)
J. Marine Sci. and Tech
, vol.17
, Issue.3
, pp. 238-247
-
-
Atluri, S.N.1
Liu, C.-S.2
Kuo, C.-L.3
-
3
-
-
0000894509
-
Large deflection analysis of plates and shallow shells using the finite element method
-
Bergan and Clough 1973, Int. J. Numer. Methods Engin
-
[Bergan and Clough 1973] P. G. Bergan and R. W. Clough, "Large deflection analysis of plates and shallow shells using the finite element method", Int. J. Numer. Methods Engin. 5 (1973), 543-556.
-
(1973)
, vol.5
, pp. 543-556
-
-
Bergan, P.G.1
Clough, R.W.2
-
4
-
-
0000150756
-
Nonlinear bending analysis of orthotropic rectangular plates by the method of differential quadrature
-
Bert et al. 1989
-
[Bert et al. 1989] C. W. Bert, S. K. Jang, and A. G. Striz, "Nonlinear bending analysis of orthotropic rectangular plates by the method of differential quadrature", Comput. Mech. 5:2-3 (1989), 217-226.
-
(1989)
Comput. Mech
, vol.5
, Issue.2-3
, pp. 217-226
-
-
Bert, C.W.1
Jang, S.K.2
Striz, A.G.3
-
5
-
-
0012725082
-
Geometrically nonlinear finite-element analysis
-
Brebbia and Connor 1969
-
[Brebbia and Connor 1969] C. Brebbia and J. Connor, "Geometrically nonlinear finite-element analysis", J. Engng. Mech. Div. ASCE/95 (1969), 463-483.
-
(1969)
J. Engng. Mech. Div. ASCE/
, vol.95
, pp. 463-483
-
-
Brebbia, C.1
Connor, J.2
-
6
-
-
0014520697
-
Large deflections of rectangular plates subjected to uniform lateral pressure and compressive edge loading
-
Brown and Harvey 1969
-
[Brown and Harvey 1969] J. C. Brown and J. M. Harvey, "Large deflections of rectangular plates subjected to uniform lateral pressure and compressive edge loading", J. Mech. Engin. Sci. 11:3 (1969), 305-317.
-
(1969)
J. Mech. Engin. Sci
, vol.11
, Issue.3
, pp. 305-317
-
-
Brown, J.C.1
Harvey, J.M.2
-
7
-
-
0004100063
-
Nonlinear analysis of plates
-
Chia 1980, McGraw-Hill, New York, NY
-
[Chia 1980] C. Y. Chia, Nonlinear analysis of plates, McGraw-Hill, New York, NY, 1980.
-
(1980)
-
-
Chia, C.Y.1
-
8
-
-
79961072474
-
The global nonlinear Galerkin method for the analysis of elastic large deflections of plates under combined loads: a scalar homotopy method for the direct solution of nonlinear algebraic equations
-
Dai et al. 2011a
-
[Dai et al. 2011a] H. H. Dai, J. K. Paik, and S. N. Atluri, "The global nonlinear Galerkin method for the analysis of elastic large deflections of plates under combined loads: a scalar homotopy method for the direct solution of nonlinear algebraic equations", Comput. Mater. Continua 23:1 (2011), 69-99.
-
(2011)
Comput. Mater. Continua
, vol.23
, Issue.1
, pp. 69-99
-
-
Dai, H.H.1
Paik, J.K.2
Atluri, S.N.3
-
9
-
-
80051704276
-
The global nonlinear Galerkin method for the solution of von Karman nonlinear plate equations: an optimal and faster iterative method for the direct solution of nonlinear algebraic equations F.(x)= 0, using x=λ[αF C.1-α/BT F]
-
Dai et al. 2011b
-
[Dai et al. 2011b] H. H. Dai, J. K. Paik, and S. N. Atluri, "The global nonlinear Galerkin method for the solution of von Karman nonlinear plate equations: an optimal and faster iterative method for the direct solution of nonlinear algebraic equations F.(x)= 0, using x=λ[αF C.1-α/BT F]", Comput. Mater. Continua 23:2 (2011), 155-185.
-
(2011)
Comput. Mater. Continua
, vol.23
, Issue.2
, pp. 155-185
-
-
Dai, H.H.1
Paik, J.K.2
Atluri, S.N.3
-
10
-
-
84898772761
-
A time domain collocation method for studying the aeroelasticity of a two dimensional airfoil with a structural nonlinearity
-
Dai et al. 2014a
-
[Dai et al. 2014a] H. H. Dai, X. K. Yue, J. P. Yuan, and S. N. Atluri, "A time domain collocation method for studying the aeroelasticity of a two dimensional airfoil with a structural nonlinearity", J. Comput. Phys. 270 (2014), 214-237.
-
(2014)
J. Comput. Phys
, vol.270
, pp. 214-237
-
-
Dai, H.H.1
Yue, X.K.2
Yuan, J.P.3
Atluri, S.N.4
-
11
-
-
84902249072
-
A fast harmonic balance technique for periodic oscillations of an aeroelastic airfoil
-
Dai et al. 2014b, Submitted for publication in J. Fluids Struct
-
[Dai et al. 2014b] H. H. Dai, X. K. Yue, J. P. Yuan, and D. Xie, "A fast harmonic balance technique for periodic oscillations of an aeroelastic airfoil", 2014. Submitted for publication in J. Fluids Struct.
-
(2014)
-
-
Dai, H.H.1
Yue, X.K.2
Yuan, J.P.3
Xie, D.4
-
12
-
-
84980134538
-
On algorithms for solving f(x)= 0
-
Hirsch and Smale 1979
-
[Hirsch and Smale 1979] M. W. Hirsch and S. Smale, "On algorithms for solving f(x)= 0 ", Comm. Pure Appl. Math. 32:3 (1979), 281-313.
-
(1979)
Comm. Pure Appl. Math
, vol.32
, Issue.3
, pp. 281-313
-
-
Hirsch, M.W.1
Smale, S.2
-
13
-
-
0004215766
-
Dynamics, theory and applications
-
Kane and Levinson 1985, McGraw-Hill, New York, NY
-
[Kane and Levinson 1985] T. R. Kane and D. A. Levinson, Dynamics, theory and applications, McGraw-Hill, New York, NY, 1985.
-
(1985)
-
-
Kane, T.R.1
Levinson, D.A.2
-
14
-
-
84872289021
-
Dynamical Newton-like methods with adaptive stepsize for solving nonlinear algebraic equations
-
Ku and Yeih 2012
-
[Ku and Yeih 2012] C.-Y. Ku and W. Yeih, "Dynamical Newton-like methods with adaptive stepsize for solving nonlinear algebraic equations", Comput. Mater. Continua 31:3 (2012), 173-200.
-
(2012)
Comput. Mater. Continua
, vol.31
, Issue.3
, pp. 173-200
-
-
Ku, C.-Y.1
Yeih, W.2
-
15
-
-
76249127210
-
Applications of the fictitious time integration method using a new time-like function
-
Ku et al. 2009
-
[Ku et al. 2009] C.-Y. Ku, W. Yeih, C.-S. Liu, and C.-C. Chi, "Applications of the fictitious time integration method using a new time-like function", CMES Comput. Model. Eng. Sci. 43:2 (2009), 173-190.
-
(2009)
CMES Comput. Model. Eng. Sci
, vol.43
, Issue.2
, pp. 173-190
-
-
Ku, C.-Y.1
Yeih, W.2
Liu, C.-S.3
Chi, C.-C.4
-
16
-
-
80955172297
-
Dynamical Newton-like methods for solving ill-conditioned systems of nonlinear equations with applications to boundary value problems
-
Ku et al. 2011
-
[Ku et al. 2011] C.-Y. Ku, W. Yeih, and C.-S. Liu, "Dynamical Newton-like methods for solving ill-conditioned systems of nonlinear equations with applications to boundary value problems", CMES Comput. Model. Eng. Sci. 76:2 (2011), 83-108.
-
(2011)
CMES Comput. Model. Eng. Sci
, vol.76
, Issue.2
, pp. 83-108
-
-
Ku, C.-Y.1
Yeih, W.2
Liu, C.-S.3
-
17
-
-
0011396689
-
Bending of rectangular plates with large deflections
-
Levy 1942a, technical report 737, National Advisory Committee for Aeronautics
-
[Levy 1942a] S. Levy, "Bending of rectangular plates with large deflections", technical report 737, National Advisory Committee for Aeronautics, 1942, http://naca.central.cranfield.ac.uk/reports/1942/naca-report-737.pdf.
-
(1942)
-
-
Levy, S.1
-
18
-
-
0011396689
-
Bending of rectangular plates with large deflections
-
Levy 1942b, technical note 846, National Advisory Committee for Aeronautics
-
[Levy 1942b] S. Levy, "Bending of rectangular plates with large deflections", technical note 846, National Advisory Committee for Aeronautics, 1942, http://www.dtic.mil/dtic/tr/fulltext/u2/a800848.pdf.
-
(1942)
-
-
Levy, S.1
-
19
-
-
0342807576
-
Simply supported long rectangular plate under combined axial load and normal pressure
-
Levy et al. 1944, technical note 949, National Advisory Committee for Aeronautics
-
[Levy et al. 1944] S. Levy, D. Goldenberg, and G. Zibritosky, "Simply supported long rectangular plate under combined axial load and normal pressure", technical note 949, National Advisory Committee for Aeronautics, 1944, http://digital.library.unt.edu/ark:/67531/metadc59844/m1/1/.
-
(1944)
-
-
Levy, S.1
Goldenberg, D.2
Zibritosky, G.3
-
20
-
-
55349116390
-
A novel time integration method for solving a large system of non-linear algebraic equations
-
Liu and Atluri 2008
-
[Liu and Atluri 2008] C.-S. Liu and S. N. Atluri, "A novel time integration method for solving a large system of non-linear algebraic equations", CMES Comput. Model. Eng. Sci. 31:2 (2008), 71-83.
-
(2008)
CMES Comput. Model. Eng. Sci
, vol.31
, Issue.2
, pp. 71-83
-
-
Liu, C.-S.1
Atluri, S.N.2
-
22
-
-
79955519618
-
Simple 'residual-norm' based algorithms, for the solution of a large system of non-linear algebraic equations, which converge faster than the Newton's method
-
Liu and Atluri 2011b
-
[Liu and Atluri 2011b] C.-S. Liu and S. N. Atluri, "Simple 'residual-norm' based algorithms, for the solution of a large system of non-linear algebraic equations, which converge faster than the Newton's method", CMES Comput. Model. Eng. Sci. 71:3 (2011), 279-304.
-
(2011)
CMES Comput. Model. Eng. Sci
, vol.71
, Issue.3
, pp. 279-304
-
-
Liu, C.-S.1
Atluri, S.N.2
-
23
-
-
84862702621
-
c, for solving a system of nonlinear algebraic equations F(x) = 0
-
Liu and Atluri 2012
-
c, for solving a system of nonlinear algebraic equations F(x) = 0", CMES Comput. Model. Eng. Sci. 84:6 (2012), 575-602.
-
(2012)
CMES Comput. Model. Eng. Sci
, vol.84
, Issue.6
, pp. 575-602
-
-
Liu, C.-S.1
Atluri, S.N.2
-
24
-
-
77949806014
-
A scalar homotopy method for solving an over/underdetermined system of non-linear algebraic equations
-
Liu et al. 2009
-
[Liu et al. 2009] C.-S. Liu, W. Yeih, C.-L. Kuo, and S. N. Atluri, "A scalar homotopy method for solving an over/underdetermined system of non-linear algebraic equations", CMES Comput. Model. Eng. Sci. 53:1 (2009), 47-72.
-
(2009)
CMES Comput. Model. Eng. Sci
, vol.53
, Issue.1
, pp. 47-72
-
-
Liu, C.-S.1
Yeih, W.2
Kuo, C.-L.3
Atluri, S.N.4
-
25
-
-
84863230414
-
Iterative solution of a system of nonlinear algebraic equations F(x)=0, using x =λ[αR+βP]or x =λ[αF+βP]is a normal to a hyper-surface function of F, P normal to R, and P* normal to F
-
Liu et al. 2011a
-
[Liu et al. 2011a] C.-S. Liu, H.-H. Dai, and S. N. Atluri, "Iterative solution of a system of nonlinear algebraic equations F(x)=0, using x =λ[αR+βP]or x =λ[αF+βP]is a normal to a hyper-surface function of F, P normal to R, and P* normal to F", CMES Comput. Model. Eng. Sci. 81:3-4 (2011), 335-363.
-
(2011)
CMES Comput. Model. Eng. Sci
, vol.81
, Issue.3-4
, pp. 335-363
-
-
Liu, C.-S.1
Dai, H.-H.2
Atluri, S.N.3
-
26
-
-
84863229344
-
2 in iteratively solving the nonlinear system of algebraic equations F(x) = 0
-
Liu et al. 2011b
-
2 in iteratively solving the nonlinear system of algebraic equations F(x) = 0", CMES Comput. Model. Eng. Sci. 81:2 (2011), 195-228.
-
(2011)
CMES Comput. Model. Eng. Sci
, vol.81
, Issue.2
, pp. 195-228
-
-
Liu, C.-S.1
Dai, H.-H.2
Atluri, S.N.3
-
27
-
-
0023538397
-
Field/boundary element approach to the large deflection of thin flat plates
-
O'Donoghue and Atluri 1987
-
[O'Donoghue and Atluri 1987] P. E. O'Donoghue and S. N. Atluri, "Field/boundary element approach to the large deflection of thin flat plates", Comput. Struct. 27:3 (1987), 427-435.
-
(1987)
Comput. Struct
, vol.27
, Issue.3
, pp. 427-435
-
-
O'Donoghue, P.E.1
Atluri, S.N.2
-
28
-
-
0004880883
-
Compressive strength of long rectangular plates under hydrostatic pressure
-
Okada et al. 1979
-
[Okada et al. 1979] H. Okada, K. Oshima, and Y. Fukumoto, "Compressive strength of long rectangular plates under hydrostatic pressure", J. Soc. Naval Arch. Japan 146:1 (1979), 270-280.
-
(1979)
J. Soc. Naval Arch. Japan
, vol.146
, Issue.1
, pp. 270-280
-
-
Okada, H.1
Oshima, K.2
Fukumoto, Y.3
-
29
-
-
0034836205
-
Large deflection orthotropic plate approach to develop ultimate strength formulations for stiffened panels under combined biaxial compression/tension and lateral pressure
-
Paik et al. 2001
-
[Paik et al. 2001] J. K. Paik, A. K. Thayamballi, and B. Ju Kim, "Large deflection orthotropic plate approach to develop ultimate strength formulations for stiffened panels under combined biaxial compression/tension and lateral pressure", Thin- Walled Struct. 39:3 (2001), 215-246.
-
(2001)
Thin- Walled Struct
, vol.39
, Issue.3
, pp. 215-246
-
-
Paik, J.K.1
Thayamballi, A.K.2
Ju Kim, B.3
-
30
-
-
0004686120
-
Large displacement analysis of plates by a stress-based finite element approach
-
Punch and Atluri 1986
-
[Punch and Atluri 1986] E. F. Punch and S. N. Atluri, "Large displacement analysis of plates by a stress-based finite element approach", Comput. Struct. 24:1 (1986), 107-117.
-
(1986)
Comput. Struct
, vol.24
, Issue.1
, pp. 107-117
-
-
Punch, E.F.1
Atluri, S.N.2
-
31
-
-
1642570232
-
Dynamical systems method for solving operator equations
-
Ramm 2004
-
[Ramm 2004] A. G. Ramm, "Dynamical systems method for solving operator equations", Commun. Nonlinear Sci. Numer. Simul. 9:4 (2004), 383-402.
-
(2004)
Commun. Nonlinear Sci. Numer. Simul
, vol.9
, Issue.4
, pp. 383-402
-
-
Ramm, A.G.1
-
32
-
-
0024897749
-
Postbuckling behaviour of rectangular plates under combined loading
-
Shen 1989
-
[Shen 1989] H. S. Shen, "Postbuckling behaviour of rectangular plates under combined loading", Thin-walled Struct. 8:3 (1989), 203-216.
-
(1989)
Thin-walled Struct
, vol.8
, Issue.3
, pp. 203-216
-
-
Shen, H.S.1
-
33
-
-
0003513999
-
Theory of elastic stability
-
Timoshenko 1961, 2nd ed., McGraw-Hill Book Co., New York
-
[Timoshenko 1961] S. P. Timoshenko, Theory of elastic stability, 2nd ed., McGraw-Hill Book Co., New York, 1961.
-
(1961)
-
-
Timoshenko, S.P.1
-
34
-
-
0022951027
-
An incremental Galerkin method for plates and stiffened plates
-
Ueda et al. 1987, Comput. Struct
-
[Ueda et al. 1987] Y. Ueda, M. H. Rashed, and J. K. Paik, "An incremental Galerkin method for plates and stiffened plates", Comput. Struct. 27:1 (1987), 147-156.
-
(1987)
, vol.27
, Issue.1
, pp. 147-156
-
-
Ueda, Y.1
Rashed, M.H.2
Paik, J.K.3
-
35
-
-
0001024464
-
Festigkeitsprobleme im maschinenbau
-
Von Kármán 1910
-
[Von Kármán 1910] T. Von Kármán, "Festigkeitsprobleme im maschinenbau", Encykl. Math. Wiss. 4 (1910), 314-385.
-
(1910)
Encykl. Math. Wiss
, vol.4
, pp. 314-385
-
-
Von Kármán, T.1
-
36
-
-
0007458871
-
Uniformly loaded, clamped, rectangular plates with large deflection
-
Way 1939, in Proceedings of the Fifth International Congress of Applied Mechanics (Cambridge, MA), Wiley, Cambridge, MA
-
[Way 1939] S. Way, "Uniformly loaded, clamped, rectangular plates with large deflection", pp. 123-128 in Proceedings of the Fifth International Congress of Applied Mechanics (Cambridge, MA), Wiley, Cambridge, MA, 1939.
-
(1939)
, pp. 123-128
-
-
Way, S.1
-
37
-
-
25444474133
-
Clamped long rectangular plate under combined axial load and normal pressure
-
Woolley et al. 1946, technical note 1047, National Advisory Committee for Aeronautics
-
[Woolley et al. 1946] R. M. Woolley, J. N. Correick, and S. Levy, "Clamped long rectangular plate under combined axial load and normal pressure", technical note 1047, National Advisory Committee for Aeronautics, 1946, http://www.dtic.mil/dtic/tr/fulltext/u2/a800975.pdf.
-
(1946)
-
-
Woolley, R.M.1
Correick, J.N.2
Levy, S.3
-
38
-
-
0000589476
-
Buckling of plates subjected to edge thrusts and lateral pressure
-
Yamamoto et al. 1970, In Japanese
-
[Yamamoto et al. 1970] Y. Yamamoto, N. Matsubara, and T. Murakami, "Buckling of plates subjected to edge thrusts and lateral pressure", J. Soc. Naval Arch. Japan 127 (1970), 171-179. In Japanese.
-
(1970)
J. Soc. Naval Arch. Japan
, vol.127
, pp. 171-179
-
-
Yamamoto, Y.1
Matsubara, N.2
Murakami, T.3
|