A finite element model for slab-on-grade problem is introduced, where the concrete slab is represented by eight-node brick elements, and the expansional joints and the subgrade are represented by boundary-spring elements. To study the warping of the slab-on-grade, the subgrade boundary elements are taken to be non-tension elements to represent the soil resistant characteristics. Because of the variation of the soil contact area and the cracks in the concrete, a general nonlinear analysis for the response behavior of slab-on-grade is developed. The theoretical finite element results are compared with the experimental measurements. The effects of temperature and moisture gradients, modulus of subgrade reaction, and modulus of elasticity of concrete are studied. A FORTRAN computer program is written to run cases on sequential computers. This computer program is translated into a FORCE code to run some cases on parallel super-computers. The speedup and the efficiency on the Cray-2 super-computer are calculated using one, two and four processors. The effects of loop and vector unrolling is also discussed in solving system of simultaneous equations.

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