Computational Mechanics in Technology

Academic year
Subject Area
Mechanical Engineering
Language of Instruction
Other Languages of Instruction
Mode of Delivery
ECTS Credits
2nd Cycle Studies - Mestrado

Recommended Prerequisites

Computer Programming, Technical Drawing II, Linear Algebra, Numerical Methods and Computing, Elasticity and Plasticity, Thermodynamics, Solid Mechanics, Mechanical Technology I, Heat Transfer I, Fluid Mechanics I.

Teaching Methods

Teaching: Lectures of the content defined in the program and practical classes with the use of the numerical tools available, including finite element codes. Tutorial follow-up of the work to be performed by students.

Learning Outcomes

This course deals with the study of the mechanical behavior of metallic materials and the numerical simulation of technological forming processes by plastic deformation. The fundamental objective is to develop in students the ability to plan and implement products and metal forming tools with modern methods of analysis and design.

The aim is also to contribute to the development of the following generic skills in students: oral and written communication, computer skills relating to the scope of the study, problem solving, critical thinking and independent learning, adaptability to new situations, apply in practice theoretical knowledge and self-criticism and self-evaluation.

Work Placement(s)



Introduction to nonlinear problems. Definition of geometric and material nonlinearities and boundary conditions.

Continuum mechanics in large deformations: kinematics of large deformations. Static and dynamic formulation.

Implicit and explicit time integration.

Mechanical behavior of materials. Isotropic and anisotropic plasticity criteria and hardening laws.

Treatment of boundary conditions.

Modeling and numerical treatment of contact problems with friction. Friction models.

Spatial discretization of deformable and rigid bodies. Types of finite elements and spatial integration.

Solving systems of linear equations.

Importance of experimental validation.

Applications: one-dimensional nonlinear problems, numerical simulation of mechanical tests (tensile, compression, shear, hardness); Numerical simulation of forming processes.

Head Lecturer(s)

Marta Cristina Cardoso de Oliveira

Assessment Methods

FREQUENCY: A final grade (Grade) results from the sum of the marks obtained in tests A and B, calculated according to the formula: Grade = 0.6A +0.4 B. FINAL EXAM: A final grade (Grade) results from the sum of the scores obtained in tests B and C, calculated using the formula: Grade = 0.4B +0.6 C.: 100.0%


- Material de apoio fornecido nas aulas e desenvolvido pelos docentes (textos de apoio, artigos científicos, manuais de utilização de programas de simulação)

- L.E. Malvern, Introduction to the Mechanics of a Continuous Medium, PrenticeHall, 1971

- D. Banabic, Formability of metallic materials: plastic anisotropy, formability testing, forming limits, Springer, Berlin, 2000.

- O.C. Zienkiewicz and R. L. Taylor, The finite element method, 5th ed., Butterworth Heinemann, Oxford, 2000

- F. Teixeira-Dias et al., Método dos Elementos Finitos, Técnicas de Simulação Numérica em Engenharia, Edições técnicas e Profissionais, Lisboa, 2010.

- J. Rodrigues e Paulo Martins, Tecnologia Mecãnica, Vol. I, II e III, Escolar Editora, 2011