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Contact Interaction of Shallow Foundations with Nonhomogeneous Bases

2009; Springer Nature; Linguagem: Inglês

10.1007/b11479_4

1860-6237

Sergey M. Aleynikov†,

Contact Mechanics and Variational Inequalities

In the fourth chapter the results of the boundary-element solutions of spatial contact problems for complex-shaped punches, located on the surfaces of elastic nonclassical bases, are analyzed. The problems under consideration correspond to the modeling of contact interaction of shallow foundations with elastic nonhomogeneous bases. Contact pressure fields under punches of various shape under an eccentric load (a contact problem on a strongly inclined punch) are obtained. The influence of non-uniform (over the area) compressibility as well as depth-dependent nonhomogeneity of the base deformational properties on the formation and development of detachment zones, settlements and slopes of punches with the increase of the absolute values of overturning moments is shown. An algorithm to calculate the boundaries of the section core for rigid complex-shaped foundation plates from the stress values is described. Some optimization problems are solved for load and shape parameter control in order to provide uniform settlement of rigid foundation. As an example for the application of the developed boundary element method, a contact problem is solved and the elastic base stress-strained state is determined for a rigid strip foundation of variable width. In the same chapter a spatial contact model of the base is built taking into account nonlinear elastic soil properties. A procedure for the model parameter characterization based on the direct punch test data is considered. Finally, the chapter contains the studies of contact problems of bending of orthotropic plates situated on elastic nonclassical bases, performed by BEM combined with finite difference method.