Chiskis, A.; Parnes, R.; Slepyan, L. Nonlinear behavior of wavy composites under tension. (English) Zbl 0977.74511 J. Mech. Phys. Solids 45, No. 8, 1357-1392 (1997). Cited in 2 Documents MSC: 74E30 Composite and mixture properties Keywords:doubly periodic wavy layers; geometrical nonlinear Cosserat rod model; boundary value problem; tension force; small initial waviness; analytical solution; microstructures; layered material; finite deflections PDF BibTeX XML Cite \textit{A. Chiskis} et al., J. Mech. Phys. Solids 45, No. 8, 1357--1392 (1997; Zbl 0977.74511) Full Text: DOI OpenURL References: [1] Adkins, J.E., Finite plain deformation of thin elastic sheets reinforced with inextensible cords, Phil. trans. R. soc. lond., A249, 125-150, (1956) · Zbl 0071.18701 [2] Antman, S.S., The theory of rods, () · Zbl 0188.57501 [3] Antman, S.S., Nonlinear problems of elasticity, () · Zbl 0845.73034 [4] Bensoussan, A.; Lions, J.L.; Papanicolaou, G., Asymptotic analysis of periodic structures, (1978), North-Holland Amsterdam, New York · Zbl 0411.60078 [5] Cherkaev, A.; Slepyan, L., Waiting element structures and stability under extension, Int. J. damage. mech., 4, 1, 58-82, (1995) [6] Chou, T.W.; Takahashi, K., Non-linear elastic behavior of flexible composites, Composites, 18, 25-34, (1987) [7] Eliseev, V.V.; Eliseev, V.V., The non-linear dynamics of elastic rods, Prikladnaya matematika i mechanika, Appl. math. mech., 52, 493-498, (1988), translated in · Zbl 0708.73039 [8] Feltman, R.S.; Santatre, M.H., Evolution of fibre waviness during the forming of aligned fibre/thermoplastic composites, Composites manufacturing, 5, 203-215, (1994) [9] Fraeijs de Veubek, B.M., A course in elasticity, () · Zbl 0419.73001 [10] Little, R.W., Elasticity, (1973), Prentice-Hall International, Inc London · Zbl 0357.73024 [11] Luo, S.Y.; Chou, T.W., Finite deformation and nonlinear elastic behavior of flexible composites, J. appl. mech., 55, 149-155, (1988) · Zbl 0662.73030 [12] Luo, S.Y.; Chou, T.W., Finite deformation of flexible composites, (), 569-586 · Zbl 0717.73035 [13] Pipkin, A.C., Finite deformations in materials reinforced with inextensible cords, () · Zbl 0366.73041 [14] Pipkin, A.C.; Rogers, T.G., Plane deformation of incompressible fiber-reinforced materials, J. appl. mech., 38, 634-640, (1971) · Zbl 0234.73004 [15] Skoller, S.; Hegemier, G., Homogenisation of plain wave composites using two-scale convergence, Int. J. solids. struct., 31, 783-794, (1995) · Zbl 0866.73042 [16] Spencer, A.J.M., Deformation of fibre-reinforced materials, (1972), Clarendon Press Oxford · Zbl 0238.73001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.