TY - JOUR
T1 - Green's function for the composite laminates with bending extension coupling
AU - Hwu, Chyanbin
N1 - Funding Information:
The author would like to thank the National Science Councils Taiwan, Republic of China, for support through Grant NSC 89-2612-E-006-004 and 90-2212-E-006-149.
Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2004
Y1 - 2004
N2 - By employing the recently developed Stroh-like formalism for the composite laminates with bending extension coupling, the explicit closed form solutions for an infinite composite laminate subjected to concentrated forces and moments at any arbitrary points have been found analytically. Although Stroh-like formalism is a complex variable formulation, through the use of some identities developed in the literature real form solutions of the present problem are also obtained in this paper. Because the concentrated forces and moments will influence the mechanical behavior of the composite in different ways when they are applied in different directions, three different loading cases are discussed. The results show that the solutions corresponding to the inplane concentrated forces f̂1, f̂2 and out-of-plane concentrated moments m̂1, m̂2 have exactly the same form as that of the corresponding two-dimensional problems. While for the cases under the concentrated force f̂3 and pure torsion m̂3, new types of solutions are obtained explicitly.
AB - By employing the recently developed Stroh-like formalism for the composite laminates with bending extension coupling, the explicit closed form solutions for an infinite composite laminate subjected to concentrated forces and moments at any arbitrary points have been found analytically. Although Stroh-like formalism is a complex variable formulation, through the use of some identities developed in the literature real form solutions of the present problem are also obtained in this paper. Because the concentrated forces and moments will influence the mechanical behavior of the composite in different ways when they are applied in different directions, three different loading cases are discussed. The results show that the solutions corresponding to the inplane concentrated forces f̂1, f̂2 and out-of-plane concentrated moments m̂1, m̂2 have exactly the same form as that of the corresponding two-dimensional problems. While for the cases under the concentrated force f̂3 and pure torsion m̂3, new types of solutions are obtained explicitly.
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U2 - 10.1016/S0263-8223(03)00175-2
DO - 10.1016/S0263-8223(03)00175-2
M3 - Article
AN - SCOPUS:0347317895
SN - 0263-8223
VL - 63
SP - 283
EP - 292
JO - Composite Structures
JF - Composite Structures
IS - 3-4
ER -