T. Schroeder et K. Chandrashekhara, NONLINEAR IMPACT RESPONSE OF LAMINATED PLATES USING A HIGHER-ORDER THEORY, European journal of mechanics. A, Solids, 13(6), 1994, pp. 833-855
LOW velocity impact of laminated composite plates is analyzed using a
higher order theory. Hamilton's principle is used to derive the transi
ent finite element equations of the plate and the motion of the impact
or. The model accounts for von Karman nonlinear strain-displacement re
lations, rotary inertia and a nonlinear contact law which accounts for
permanent deformation. The nonlinear time dependent equations are sol
ved using direct iteration scheme in conjunction with the Newmark time
integration scheme. A variety of case studies are conducted for conta
ct force and center deflection histories of laminated plates. The resu
lts indicate that the contact force history is initially influenced by
mass properties and impactor velocity, whereas at a later stage lamin
ate stiffness plays the more active role. Results are also presented f
or the inplane stress and transverse shear stress histories using the
higher order theory and are compared with those obtained using the fir
st order theory.