2014
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151
ANALYSIS OF THREEDIMENSIONAL CONSOLIDATION OF UNSATURATED SOILS
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2
This study extends the theory of threedimensional consolidation to unsaturated soilsand formulates the theory for finite element analysis by treating the pore water and pore air as amixed pore fluid. This formulation considers variations in the permeability and compressibility ofthe mixed pore fluid with changes in the void ratio and degree of saturation. The compressibility ofthe mixed pore fluid is derived using Boyle’s Law. An example of the settlement of a verticaldrain is investigated and discussed; this example demonstrates that the numerical analysis theory isapplicable and reliable. The results indicate that the rate of consolidation of unsaturated soils isclearly slower than that of saturated soils, the rate of dissipation of the pore fluid pressure isconsiderably slower, and the permeability of the mixed pore fluid decrease during consolidation.This theory is applicable to unsaturated soils with high degrees of saturation and can be used toobtain more reliable predictions of unsaturated soil consolidation.
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485
493
Unsaturated soils
consolidation theory
pore fluid
finite element
vertical drain
NEW CANONICAL FORMS FOR THE ANALYSIS OF SYMMETRIC TRUSS STRUCTURES
2
2
For a symmetric structure the degrees of freedom (DOFs) in two sides of the axis ofsymmetry can be either symmetric or antisymmetric. If there is no active DOF on the axis ofsymmetry, then we will have the Form II symmetry for the structural matrices, and alternatively ifwe have some active DOFs on the axis, we will have Form III symmetry. These forms are alreadydeveloped and employed in structural dynamics and stability analysis of frame structures.However, for the structures having both symmetric DOFs and antisymmetric DOFs,simultaneously, we will have different canonical forms, defined in this paper as the Form A andForm B symmetry. Thus the main objective is to develop these forms and explore the governingrelationships. The presented method is then applied to the analysis of symmetric structures.
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495
503
canonical forms
symmetry and antisymmetry
trusses
form A
form B