EG5502 - Solid Mechanics

Credit points:	03
Year:	2006
Student Contribution Band:	Band 2
Administered by:

Topics include: Elements of tensor algebra: definition and notation for points, vectors and tensor, the spectral theorem, principal invariants and the Cayley-Hamilton theorem. Elements of tensor analysis: differentiation, gradient, divergence, curl, Greenys formulae, the Divergence theorem and Stokeys theorem. Geometry and kinematics of bodies: deformation of bodies, displacement, the Green-Lagrange strain tensor, infinitesimal strain and rotation, properties of the Strain Tensor, normal and shear strains. Balance principles: linear and angular momentum balance, the Stress Tensor, local equations of equilibrium, symmetry of the Stress Tensor, properties of the Stress Tensor, principal and deviatoric stresses and the principal of virtual work. Constitutive theory: the principal of energy balance, the strain energy function, generalised Hookeys law, the Elasticity tensor, isotropic linear elasticity, constitutive equations, Lame coefficients and matrix formulation. The boundary value problems of linear elasticity: a summary of field equations. Introduction to constitutive theory of plasticity.

Learning Outcomes

• To consider Cartesian tensors with application to the development of stress and strain tensors within small deformation theory;
• To discuss constitutive relations in the context of linear elasticity and classical elasto-plasticity;
• To illustrate structural theories, some practical problems and their solutions;
• To provide a sound basis for approximation methods and the finite element method, in particular;
• To provide the fundamentals of solid mechanics with applications to elasticity.

Graduate Qualities

• The ability to define and to solve problems in at least one discipline area;
• The ability to calculate, produce, interpret and communicate numerical information;
• The ability to select and use appropriate IT tools;
• The ability to use a variety of media and methods to retrieve, analyse, evaluate, organise and present information;
• The ability to learn independently and in a self-directed manner.

Prerequisites:

EG5501

Availabilities
, , Study Period 4
Census Date 24-Mar-2006
Face to face teaching 20-Feb-2006 to 10-Mar-2006
Coordinator:	jc146723
Contact hours:	20 hours 10 hours 20 hours
Assessment:	(50%); (50%).
Restrictions:	An enrolment quota applies to this offering.
, , Study Period 8
Census Date 08-Sep-2006
Face to face teaching 18-Sep-2006 to 06-Oct-2006
Coordinator:	jc146723
Contact hours:	20 hours 10 hours 20 hours
Assessment:	(50%); (50%).
Restrictions:	An enrolment quota applies to this offering.

Note: Minor variations might occur due to the continuous Subject quality improvement process, and in case of minor variation(s) in assessment details, the Subject Outline represents the latest official information.