MECHANICS AND MATHEMATICAL MODELLING

Master programme "SOLID MECHANICS"

Mission Statement
Department of Mathematical Modelling in Mechanics aims to carry out research of world-class excellence in each of a number of groups whose interests span broad and important areas of applied mathematics and mechanics.
In so doing it collaborates with strong groups nationally and internationally, and participates in numerous interdisciplinary projects and programmes. It recognizes the crucial importance of research students in research programmes of training through working on demanding research problems under direction of leading mathematical scientists in various areas of Solid mechanics.

Programme of the entrance exam
Admissions
Under most circumstances, applicants to the Master Programm are expected to hold undegraduated degrees in Solid Mechanics or in natural science. Please see the departments Web site at www.samsu.ru for detailed information on admission to graduate study. Specific questions can be addressed at lst@ssu.samara.ru

Laboratory topics. FEM and its application to Solid Mechanics problems. Simulia Abaqus Student Edition
Basic possibilities of Simulia ABAQUS
ABAQUS Tutorial: A Recangular Plate with a central circular hole in 2D plane stress
ABAQUS XFEM Tutorial: 2D Edge Crack
ABAQUS XFEM Tutorial: 2D Edge Crack with Inclusion
ABAQUS XFEM Tutorial: 3D Edge Crack
ABAQUS XFEM Tutorial: 3D Penny Crack
The tutorial is intended to serve as a quick introduction to the software for the students and gives the detailed descriptions of many problems and their finite element method solutions. Abaqus is a suite of powerful engineering simulation programs based on the finite element method, sold by Dassault Systemes as part of their SIMULIA Product Life-cycle Management (PLM) software tools. Abaqus contains an extensive library of elements that can model virtually any geometry. You may import geometry from a many different CAD software packages. Using Abaqus, you should be able to use various different material models to simulate the behavior of most typical engineering materials including metals, rubber, polymers, composites, reinforced concrete, crushable and resilient foams, and geotechnical materials such as soils and rock.

Laboratory topics. Interference-Optical Methods of Solid Mechanics
Photoelasticity
Photoelasticity is useful as a design tool, to understand complex phenomenological issues, and as an excellent teaching aid for stress analysis. It can be used to study models made of transparent plastics, prototypes made of different materials, and also directly on end products such as glass components. With developments in rapid prototyping and novel methods for fringe plotting from finite element results, the technique is ideally suited for hybrid analysis of complex problems.

Demonstrated lectures
An Intermediate Asymptotic Solution of the Coupled Creep-Damage Crack Problem in Similarity Variable
Nonlinear eigenvalue problems arising from nonlinear fracture mechanics analysis
The asymptotic study of fatigue crack growth based on continuum damage mechanics
Our first master students (2011)
SOLID MECHANICS in SAMARA STATE UNIVERSITY

Samara State University is an important university in the international research and educational network in many directions of natural sciences. It is rich of traditions and future oriented in equal measure. Based on scientific bachelor’s programmes, it is concentrated on research-oriented masters’s and PhD programmes. Samara State University has had its own faculty of mechanics and mathematics since 1969. Solid Mechanics subjects have been offered ever since it has been possible to study in Samara State University. Study programmes at Samara State University comprise bachelor programmes, master programmes and PhD programmes. One of the master program is Solid Mechanics. Solid Mechanics master programme is realized by Department of Mathematical Modelling in Mechanics. Department of Mathematical Modelling in Mechanics offers desirable, high-quality research and training opportunities. Solid Mechanics master programme provides high-level education for those wishing to improve their knowledge base in Solid Mechanics and to gain additional capability beyond the bachelor programme. This is the programme suitable for bachelor-level engineers and some others planning to pursue professional careers in classical universities, technical universities, industry, consulting and government service. Certain basic undergraduate coursework is considered essential for all students intending to earn the Master degree in Solid Mechanics: • Geometry • Calculus and Differential Equations • Probability and statistics • Mathematical Physics • Asymptotical Theory and Perturbation Methods • Continuum Mechanics • Elasticity Theory

Our areas of research and education include:

• Nonlinear Fracture Mechanics

• Damage Mechanics

• Inverse Problems

• Finite Element Methods (Mechanical ANSYS, Simulia ABAQUS)

• Computational Mechanics

• Material Science

• Plasticity Theory

• Creep Mechanics

• Composite Materials

• Nanomechanics and nanostructures

• Numerical methods and their applications in mechanics

• Experimental methods in mechanics

• Photoelasticity

• Self-similarity and exact solutions of partial differential equations

Our master of science programme is intended to serve a variety of people and purpose. In place of rigity structures programmes, candidates are encouraged to develop their own programmes in accord with their interests and in consultaion with their advisors. Most M.S. candidates are actively involved in research that culminates in the writing of a thesis.

The Department’s interests lie in equal measure in both fundamental and applied research as well as in the education of topclass professionals for science, industry and commerce. Samara State University guarantees a high standard of quality of master education in Solid Mechanics. The present configuration of the master programme is in accordance with the standards of the Bologna Process. The master programme aims at a lively academic discourse among students and teaching staff in the relevant field and guarantee an optimum supervision of students.

Contacts Samara State University Samara 443011 Akad. Pavlov str., 1 E-mail: stepanovalv@samsu.ru

       Our publications

Video Materials: Creating and Analyzing a Simple Model in ABAQUS/CAE

Creating and Analyzing a Simple 3D Model in ABAQUS/CAE

Disk with a Hole under Contracting Concenrated Forces

Courses and their contents

   Applied Solid Mechanics

   Plasticity Theory

   Creep Theory

   Damage Mechanics

   Mechanics of Brittle Fracture

   Corrosion

   Theoretical Physics (Statistic physics)

   Computer Technology in Science and Education

   Finite Element Method and Its Applications to Solid Mechanics

   Application of a Suite of Engineering Simulation Programs ABAQUS to Solid Mechanics Problemds

   The Finite Element Method and applications in Engineering using ANSYS

   Experimental Methods in Mechanics

   Photoelasticity

   Composite Materials

   Asymptotical Methods and Perturbation Theory

   Inverse Problems

   Similarity Solutions of Partial Differential Equations and Mechanics

   Modern Problems in Mechanics

   Nonlinear Dynamics, Chaos and Fractals

Tutorials and Course Materials

   Simulia ABAQUS Tutorials

   Photoelasticity

Master Dissertation

In typical case of Master Programme the student presents a written report detailing the findings and conclusions, relating these to the mechanical and physical and/or mathematical problems being studied and extending the theory beyod that found in the associated lecture courses. The Master Thesis gives the opportunity to engage in independent study, to develop ability at solving mathematical problems in modern environment and cultivate the written presentation skills. The skills learnt are valuable for all students: those entering industry, continuing with research or seeking other empoyment opportunities.
Lectures        Course Contents (Review)        Course Materials        Schedule 2013/2014        Contacts