330-0537/01 – Mechanics of Plastics and Composites (MKaP)

Gurantor departmentDepartment of Applied MechanicsCredits4
Subject guarantorprof. Ing. Karel Frydrýšek, Ph.D.Subject version guarantorprof. Ing. Karel Frydrýšek, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Study languageCzech
Year of introduction2020/2021Year of cancellation
Intended for the facultiesFSIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
FRY72 prof. Ing. Karel Frydrýšek, Ph.D.
POL0400 doc. Ing. Stanislav Polzer, Ph.D.
VIT0102 Ing. Radek Vitásek
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Graded credit 2+2
Part-time Graded credit 16+0

Subject aims expressed by acquired skills and competences

Student will gain theoretical and practial knowledge regarding mechanical description and behavior of the plastics, hyperelastic ans composite materials. He will be able to assess effect of the temperature on the mechanical properties of plastic materials, analyse experiments under finite deformations and model hyperelastic and viscoelastic materials by various constitutive models. Student will also gain knowledge about mechanical behavior and simulations of the long fiber composite materials and sandwich beams.

Teaching methods

Individual consultations


This topic aims to present a basic introduction to mechanics of non metalic materials. Specificaly, the phenomena which does not exist or are negligible in metalic materials. First part of the lectures is aimed at mechanics of plastics with aim at simulation of glass temperature. Second part of the lectures will aim at introducing the basics of the theory of hyper and visco elasticity together with presentation of some of the common constitutive models used in this area. Last part of lectures will focus on mechanics of long fiber composites.

Compulsory literature:

[1] Nonlinear Solid Mechanics: A Continuum Approach for Engineering. Gerhard Holzapfel. John Wiley & sons ltd, Chichester, England. [2] Mechanics Of Composite Materials. Robert Jones. CRC Press 2018.

Recommended literature:

[1] Hyperelasticity Primer, Robert M. Hacket. Springer, 2018. Berlin, Germany [2] Computational Mechanics of Composite Materials Marcin M Kaminski. Springer, Germany, Berlin 2005.

Way of continuous check of knowledge in the course of semester

Klasifikovaný zápočet: test-teoretické otázky, výpočet 4 příkladů.


Other requirements

Active participation on the exercises. Student is excused 2 times. Student must attend to write a test and defend his/her project except for serious health related reasons. This must be proved by the doctor´s written and signed notice. In such cases the test and/or project defense will take place in new date. If student fails to attendt the test or the project defense he/she will receive 0 points from them. This subject expects advanced knowledge about strength of materials, laws of elasticity (ability to apply generalized Hook´s law, theory of membranes and thick walled tubes).


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

Lectures: 1. plastic materials-structure, manufacturing, applications, mechanical properties, effect of temperature 2. finite deformations, deformation, strain and stress tensors 3. hyperelastic materials-structure, manufacturing, properties, applications 4. experimental testing of the hyperelastic materials 5. consitutive models-Neo Hookean, Mooney-Rivlin, Aruda-Boyce 6. viscoelastic behavior-Voight, Kelvin model, 7. composites-structures-long fiber and short fiber composites, manufacturing, applications 8. composites-limit states-strength of fibers, matrix and composite, rule of mixture 9. composites-limit state of delamination 10. composites-elastic constanty of transversally isotropic material-ELT, muLT, ETT´ 11. composites-elastic constanty of transversally isotropic material-muTT´, GLT, 12. composites-homogenization (lonf fibers, short fibers, particle composites. 13. composites-experimental estimation of elastic constants 14. sandwich structures-structure, application, manufacturing, simulations, limit states Exercise: 1. plastic materials-analysis of replacement of steel part by plastic one, definition of the credit project 2. analysis of uniaxial tensile test in finite deformations. Estimation of strains and stresses 3. FEA of rubber part 4. analysis of biaxial test in finite deformations Estimation of strains and stresses 5. Fitting of constitutive models to experimental data, prediction of different deformation mode 6. Analysis of creep and relaxation tests, fitting of viscoelastic models 7. test1 8. composites-calculations of constants of transversally isotropic material-ELT, muLT,ETT´ 9. composites-calculations of constants of transversally isotropic material -muTT´, GLT, 10 composites –homogenization 11. composites –stress strain analysis of laminated composite 12. composites –FEA including limit states 13. sandwich structures-FEA of sandwich beam 14. student presentation of the credit project

Conditions for subject completion

Part-time form (validity from: 2021/2022 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Graded credit Graded credit 100  51 3
Mandatory attendence participation: Klasifikovaný zápočet

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Conditions for subject completion and attendance at the exercises within ISP:

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Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2023/2024 (N0715A270033) Applied Mechanics MPT P Czech Ostrava 1 Compulsory study plan
2023/2024 (N0715A270033) Applied Mechanics MPT K Czech Ostrava 1 Compulsory study plan
2022/2023 (N0715A270033) Applied Mechanics MPT K Czech Ostrava 1 Compulsory study plan
2022/2023 (N0715A270033) Applied Mechanics MPT P Czech Ostrava 1 Compulsory study plan
2021/2022 (N0715A270033) Applied Mechanics MPT P Czech Ostrava 1 Compulsory study plan
2021/2022 (N0715A270033) Applied Mechanics MPT K Czech Ostrava 1 Compulsory study plan
2020/2021 (N0715A270033) Applied Mechanics MPT P Czech Ostrava 1 Compulsory study plan
2020/2021 (N0715A270033) Applied Mechanics MPT K Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction

2021/2022 Summer