Elasticity and Plasticity
2
2022-2023
01005789
Engineering Sciences
Portuguese
Face-to-face
SEMESTRIAL
6.0
Compulsory
1st Cycle Studies
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 mathematical theory related to the behavior of deformable solids in elastic and plastic regime. 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)
NoSyllabus
General concepts of Elasticity and Plasticity. Stress tensor. Strain tensor. Graphical representation of stress and strain states. Stress-strain relationships in the elastic regime of isotropic and anisotropic materials (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 parameters of the yield criterion). Hardening laws.
Head Lecturer(s)
Marta Cristina Cardoso de Oliveira
Assessment Methods
Final assessment
Exam - alternative to Midterm 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.