Stress Analysis of Multicomponent Structures.
Final rept. Jul 69-Jun 70,
NAVAL CIVIL ENGINEERING LAB PORT HUENEME CALIF
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In engineering practice, many structures are built with somponents not monolithically attached to a neighboring component so that slippage along and separation at the contact boundary are possible. The finite element method was utilized to simulate the response of multicomponent structures exhibiting such slippage andor separation. At mutual boundaries, contact was assumed to be established only for pairs of nodal points or, in general, for sets of nodal points. The condition that slippage or separation occurs at such nodal-point sets when the shear or the tension resistance is exceeded provided the force constraints. Kinematical constraints associated with these force constraints were introduced in the form of binary relations between displacements of nodal-point sets. With the use of the method of Lagrangian multipliers, the total potential energy expression was modified to account for the kinematical constraints. Subroutines necessary to carry out this modification were introduced into an axisymmetricplane stress program, and a solution was obtained by successive trials. To examine the credibility of the finite element solutions, photoelastic experiments were performed on two-dimensional models of a hatch cover and an airfield-pavement joint.
- Structural Engineering and Building Technology