Students should understand and aquire the basic principles of numerical methods in the analysis of deformation and stress state of welded structures. They will be introduced to the application of the finite element method to the calculation of deformation and stress in linear elasticity and plasticity. Students will be trained for independent and practical work using licensed software.

The student has mastered the basics of the theory of elasticity. He is able to conduct stress and strain analysis for complex multicomponent stresses and to apply it to the assessment of the load-bearing capacity of simple structures. The student has mastered the theoretical foundations of the finite element method. He is able to apply the finite element method to calculate the stress and deformation state of simple welded structures. Theoretical examples, computational examples and work using licensed software allow the student to apply previously acquired knowledge in mathematics, mechanics, structural resistance and mechanical materials, to solving simple problems in everyday engineering practice.

Theory of elasticity, stress state analysis. Theoretical foundations of the finite element method. Solving linear-elastic problems. Solving nonlinear problems using FEM; types of nonlinearity, overview; Introduction to nonlinearity of materials, fundamentals of plasticity theory. Presentation of various criteria for plastic flow of materials in FEM. Deformations and stresses relation equations in the plastic region - flow rate and formulations in FEM. The case of heterogeneous materials - application to welded joints.

Examples of formulations in FEM. Formation of the actual stress - actual strain curve. Special cases. Creation of FEM models of welded joints and elasto-plastic analysis. Application of different algorithms for solving nonlinear problems; solution accuracy and convergence. Creation of FEM contact models. Postprocessing. FEM solutions in assessing the fracture resistance of welded joints.

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Handouts from Faculty website.

Total assigned hours: 75

New material: 20
Elaboration and examples (recapitulation): 10

Auditory exercises: 30
Laboratory exercises: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Review and grading of calculation tasks: 0
Review and grading of lab reports: 0
Review and grading of seminar papers: 5
Review and grading of the project: 0
Test: 3
Test: 0
Final exam: 7

Activity during lectures: 10
Test/test: 20
Laboratory practice: 0
Calculation tasks: 20
Seminar paper: 20
Project: 0
Final exam: 30
Requirement for taking the exam (required number of points): 30

Handouts from Faculty website.