Metal Forming Technology


By the end of the Curricular Unit the students will be able to:

-Apply the plasticity theory to manufacturing processes;

-Apply the methods of analysis;

-Select the manufacturing processes;

-Optimize the process parameters;

-Predict and avoid of defects;

-Propose technological innovations for energy efficiency, lower environmental impact and new products production.

General characterization





Responsible teacher

Telmo Jorge Gomes dos Santos


Weekly - 4

Total - 77

Teaching language



-Technical Drawing

- Technologies and Mechanical Processes

- Mechanical Technology I

- Mechanical Technology II


Main bibliography:

Tecnologia Mecânica: Tecnologia da Deformação Plástica, Vol. II and Vol. II, J. Rodrigues, Paulo Martins, Escolar Editora, 2010.


Complementary bibliography:

Fundamentals of Modern manufacturing - Materials Processes and Systems, Mikell P. Groover, John Wiley & Sons, 1999.

Manufacturing Engineering and Technology, Serope Kalpakjian, Steven R. Schmid, Prentice Hall, 2006.

Manufacturing Processes for Engineering Materials, Serope Kalpakjian, Steven R. Schmid, Prentice Hall, 2008.

Introduction to Manufacturing Processes, John A. Schey, MCGRAW-HILL, 2000.

Teaching method


Exposition of the fundamental concepts.  

Practical classes:

Analysis of case studies,  problem-solving by the students, and working with lab equipment.

Evaluation method


Continuous evaluation:

1 Individual Work (30%) + 2 tests (35% + 35%)

(Condition: grade of Individual Work > 10.0 values)


Final exam without access condition.

Subject matter

Part 1–Theoretical aspects
1.1) Elasticity
Tensor stress, principal stresses/directions, invariants, Deviator tensor, Normal, shear and octahedral stresses, Mohr''s plane, Hooke’s law
1.2) Plasticity
Stress-strain curve, Effective stress, Elastic energy of distortion, Yield criteria and Haigh–Westergaard stress space, Plastic work concept, Constitutive equations (Levy-Mises), Plastic flow law, plastic potential concept
1.3) Phenomenological aspects of plasticity
Mechanical testing, material properties, Anisotropy, Strain hardening, Bauschinger effect, Empirical stress-strain relations, Temperature and strain rate
1.4) Methods of analysis: Uniform energy method, Slab method, Upper bound method

Part 2-Manufacturing processes
2.1) Bulk and Sheet metal forming
Forging, Rolling, Extrusion, Drawing and tube drawing, Bending, Roll bending, Roll forming, Deep Drawing, Stretch-forming process, Spinning
2.2) Other manuf. proc.


Programs where the course is taught: