**ENCI 673 H(3-0) Constitutive Laws for Geomaterials (WAN)**

Definition of a continuous medium. Description of deformable continuous media; concepts of stress, strain and their invariants. Constitutive equations for geomaterials as a generic for soil, rock, and concrete materials in Civil Engineering. Review of elasticity theory. Introduction to yielding, plastic flow and failure phenomena in geomaterials. Limit analysis with applications to both Geotechnical and Structural Engineering. Stress-strain behaviour for both cohesive and granular materials. Constitutive models based on Critical state theory will be presented. Other topics such as strain localization and fracture phenomena may be included as appropriate.

**ENCI 675 H(3-0) Numerical Methods for Modelling Geomaterials (WAN)**

Methods of theoretical analysis for solving partial differential equations associated with Geotechnical and Structural Engineering. Variational Principles, Principle of Virtual Work and Galerkin Method. Theory of finite element and focus on its computer implementation for the analysis of engineering problems. Typical applications include two- and three dimensional stress analysis, seepage flow, and coupled fluid flow-solid deformation problems. Advanced topics: numerical strategies for solving material and geometric non-linearities (plasticity and large deformations), poro-elasticity and plasticity, strain localization, and presentation of other numerical techniques such as finite difference, boundary element, discrete element methods.

**ENGG 317 Mechanics of Solids (WAN)**

Axial-force, shear-force and bending moment diagrams; stress and strain; stress-strain relations; elastic and plastic behaviour; elastic constants; simple statically indeterminate (one-degree) problems; review of moment of inertia, product of inertia and principal axes of inertia; elastic torsion of circular shafts; elastic and plastic bending about principal axes of beams with symmetrical cross-section; composite beams; shear stresses due to bending; Mohr's circle for stress; thin-walled pressure vessels; deflection of beams by integration; Euler buckling.

**ENCI 423 H(3-1-2) Soil Mechanics (WAN)**

Identification and classification of soils; seepage and effective stress concept; stress states and elastic equilibrium; shear strength; one dimensional consolidation and settlement analysis for clays; selected laboratory, design exercises and computer applications.

**ENCI 523 H(3-1-1) Soil Mechanics and Foundation Engineering (WAN) **

Soil Mechanics and Foundation Engineering Earth embankments; sub-surface investigations; compaction; seepage analysis and slope stability; lateral earth pressures and retaining structures; shallow and deep foundations in sands and clays; bearing capacity and settlement of structures; selected laboratory, design exercises, solution to slope stability and other problems using computer programs.

**ENCI 461 H(3-1.5T) Mechanics of Materials (WAN)**

Review of the analysis of statically determinate beams and frames. Stresses in non-symmetric sections. Shear stresses in beams, shear centre; torsion in noncircular sections. Elastic buckling of columns, inelastic buckling; plate buckling.Principal anddeviatoric stresses in three dimensions, failure theories. Strain energy and work theorems; virtual work. Moment area theorems. Statically and kinematically indeterminate systems; force and displacement methods in indeterminate structures.

**ENCI 561 H(3-1.5T) Introduction to Continuum Mechanics (WAN)**

Review of vectors, cartesian tensors; stresses and deformations in continuum; basic laws of continua; generalized Hooke's law with application to elasticity problems; yield criteria, theories of plastic flow, and elastic-plastic deformation with application to plasticity problems; creep and stress relaxation for viscoelastic material, viscoelastic models, and their constitutive equations with application to viscoelasticity problems; Navier-Poisson law and Navier-Stokes equation with application to fluid flow problems.