Elasticity and Plasticity

Recommended Prerequisites

Linear Algebra, Calculus I-III, Numerical Methods and Computing, Applied Mechanics.

Teaching Methods

Lectures of the content defined in the program, and practical classes with resolution of chosen problems. Tutorial follow-up of work to be performed by the students.

Learning Outcomes

This course aims to study the response of deformable solids applying force systems. Here are taught the concepts of stress and strain tensors, yield surfaces (isotropic and anisotropic) and stress - strain relationships in elastic and plastic regime.

Work Placement(s)

No

Syllabus

General concepts of Elasticity and Plasticity. Strees tensor. Strain tensor. Graphical representation of stress and strain states. Stress-strain relationships in the elastic regime (Generalized Hooke's Law). Isotropic yield surfaces (Tresca, von Mises, etc.).Anisotropic yield stress surfaces (Hill'48, etc.). Stress-strain relationships in plastic regime (associated flow rule.). Anisotropy coefficient (its definition from the coefficients of the yield criterion).

Head Lecturer(s)

José Valdemar Bidarra Fernandes

Assessment Methods

Final Assessment
Exam: 100.0%

Continuous Assessment
Frequency: 100.0%

Bibliography

J.V.B. Fernandes, Plasticidade - Notas do Professor (Texto Principal).

C. Rebelo, Tensores - Notas do Professor (Texto Principal).

R. Hill, The mathematical theory of plasticity, Clarendon Press, 1950.

L.E. Malvern, Introduction to the mechanics of a continuous medium, Prentice-Hall, INC. 1969.

L. Katchanov, Éléments de la théorie de la plasticité, MIR, 1975.

 J. Lemaitre e J.-L. Chaboche, Mechanics of solid materials, Cambridge University Press, 1994.

R. Parnes, Solid mechanics in engineering. - John Wiley, 2001.