The theory of Cosserat points applied to the analyses of wrinkled and slack membranes
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Boerner EFI, Loehnert S, Wriggers P (2007) A new finite element based on the theory of a Cosserat point extension to initially distorted elements for 2D plane strain. Int J Numer Methods Eng 71(4): 454–472
Epstein M, Forcinito Mario A (2001) Anisotropic membrane wrinkling: theory and analysis. Int J Solids Struct 38: 5253–5272
Green AE, Naghdi PM (1991) A thermomechanical theory of a Cosserat point with application to composite materials. Q J Mech Appl Math 44: 335–355
Green AE, Naghdi PM, Wenner ML (1974a) On the theory of rods. Part I. Derivations from the three-dimensional equations. Proc R Soc Lond A 337: 451–483
Green AE, Naghdi PM, Wenner ML (1974b) On the theory of rods. Part II. Developments by direct approach. Proc R Soc Lond A 337: 485–507
Lu K, Accorsi M, Leonard J (2001) Finite element analysis of membrane wrinkling. Int J Numer Methods Eng 50: 1017–1038
Kang S, Im S (1999) Finite element analysis of dynamic response of wrinkling membranes. Comput Methods Appl Mech Eng 173: 227–240
Loehnert S, Boerner EFI, Rubin MB, Wriggers P (2005) Response of a nonlinear elastic general Cosserat brick element in simulations typically exhibiting locking and hourglassing. Comput Mech 36: 255–265
Mansfield EH (1968) Tension field theory: a new approach which shows its duality with inextensional theory. In: Proc. XII Int. Cong. Appl. Mech., pp 305–320
Miller RK, Hedgepeth JM, Weingarten VI, Das P, Kahyai S (1985) Finite element analysis of partly wrinkled membranes. Comput Struct 20: 631–639
Miyamura T (2000) Wrinkling on stretched circular membrane under in-plane torsion: bifurcation analyses and experiments. Eng Struct 23: 1407–1425
Miyazaki Y (2005) Wrinkle/slack model and finite element dynamics of membrane. Int J Num Methods Eng 66(7): 1179–1209
Nadler B, Rubin MB (2003a) A new 3-D finite element for nonlinear elasticity using the theory of a Cosserat point. Int J Solids Struct 40: 4585–4614
Nadler B, Rubin MB (2003b) Determination of hourglass coefficients in the theory of a Cosserat point for nonlinear elastic beams. Int J Solids Struct 40: 6163–6188
Naghdi PM (1972) The theory of plates and shells. In: Truesdell C(eds) S. Flugge’s Handbuch der Physik, vol. VIa/2. Springer, Berlin, pp 425–640
Pipkin AC (1986) The relaxed energy density for isotropic elastic membrane. IMA J Appl Math 36: 85–99
Raible T, Tegeler K, Löhnert S, Wriggers P (2005) Development of a wrinkling algorithm for orthotropic membrane materials. Comput Methods Appl Mech Eng 194: 2550–2568
Roddeman DG, Drukker J, Oomens CWJ, Janssen JD (1987) The wrinkling of thin membranes. Part I. Theory. Part II. Numerical analysis. ASME J Appl Mech 54: 884–892
Rubin MB (1985b) On the numerical solution of one dimensional continuum problems using the theory of a Cosserat point. ASME J Appl Mech 52: 373–378
Rubin MB (1985a) On the theory of Cosserat point and its application to the numerical solution of continuum problems. ASME J Appl Mech 52: 368–372
Rubin MB (2000) Cosserat theories: shells, rods and points. In: Solid mechanics and its applications, vol 79. Kluwer, The Netherlands
Rubin MB (1995) Numerical solution of two- and three-dimensional thermomechanical problems using the theory of a Cosserat point, J. of Math. and Physics (ZAMP) 46, Special Issue, S308-S334. In: Casey J, Crochet MJ (eds) Theoretical, experimental, and numerical contributions to the mechanics of fluids and solids. Brikhauser Verlag, Basel
Shaw A, Roy D (2007a) A NURBS-based error reproducing Kernel method with applications in solid mechanics. Comput Mech 40(1): 127–148
Shaw A, Roy D (2007b) Improved procedures for static and dynamic analyses of wrinkled membranes. ASME J Appl Mech 74(3): 590–594
Shaw A, Roy D (2007c) Analyses of wrinkled and slack membranes through an error reproducing mesh-free method. Int J Solids Struct 44(11–12): 3939–3972
Stanuszek M (2003) FE analysis of large deformations of membranes with wrinkling. Finite Elements Anal Des 39: 599–618
Stein M, Hedgepeth JM (1961) Analysis of partly wrinkled membranes. Tech. Rep. NASA TN D-813
Wagner H (1929) Flat sheet metal girder with very thin metal web. In Zeitschriftfür Flugtechnik und Motorluftschiffahrt, 20