330-0910/02 – Mechanics of Continuum (MK)
Gurantor department | Department of Applied Mechanics | Credits | 10 |
Subject guarantor | prof. Ing. Karel Frydrýšek, Ph.D., FEng. | Subject version guarantor | prof. Ing. Karel Frydrýšek, Ph.D., FEng. |
Study level | postgraduate | Requirement | Choice-compulsory |
Year | | Semester | winter + summer |
| | Study language | English |
Year of introduction | 2015/2016 | Year of cancellation | |
Intended for the faculties | FS | Intended for study types | Doctoral |
Subject aims expressed by acquired skills and competences
Students get to know the theoretical and application approaches for solutions of the biomechanical tasks (process of data, model creation, numerical modelling, experiments). The focus is on the area of a multidisciplinary solution of rigid and deformable bodies, boundary and initial conditions, loadings and material behaviours tasks.
Teaching methods
Lectures
Individual consultations
Experimental work in labs
Project work
Summary
This subject introduces students to Mechanics of continuum (theory, practice, modelling, experiments and applications). Applications are focused mainly on engineering interdisciplinary problems of statics, kinematics, dynamics, mathematical theory of elasticity and plasticity, fatigue, material science, composites, stress-strain states and limit states, analytical, numerical and experimental approaches including nonlinearities. Acquired knowledge are needed for success scientific work, research, development and innovations in industry.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
Příprava zadané problematiky v písemné formě.
E-learning
Other requirements
The student prepare individual account on selected topic
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Specifically, the following issues are discussed : stress and strain tensor ,
transformation tensor components , the main components of a tensor, determining the principal planes ,
invariants of the stress tensor and deformation. Mohr's circle for stress and strain .
Physical linear equations elastomechaniky orthotropic material , isotropic
material , plane strain condition , plane stress state , energy principles ,
work and potential energy , complementary energy principle of virtual work ,
boundary conditions. Equilibrium equations, compatibility conditions , equilibrium equations
feeds in folders , folders solutions through feeds . some problems
planar and spatial elastomechaniky . Torsion bars with constant circular
section, bending of prismatic bars , center of shear , bending stress plates,
torsion of prismatic rods of non-circular cross-section , membrane analogy , the function
voltage , the voltage distribution in the rotationally symmetrical bodies , the circular cylinder,
rotating ring strain of rotationally symmetric plates , thermal stresses.
Fundamentals of mechanics of materials komozitních . Types of material , homogeneous,
heterogeneous , anisotropic and isotropic , anisotropic , orthotropic material
material response , cutting composite materials , lamina , laminate , basic
lamina properties , degree of anisotropy of elastic behavior unidirectional lamina,
dependence of stress and strain , relations between the elastic constants and physical
constants , transformation tensor components of stress and strain , elastic behavior
multidirectional composite laminate layers constitutive equation , force and torque
resultant laminate layer symmetric laminate.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
Předmět neobsahuje žádné hodnocení.