{"id":18383,"date":"2025-07-19T15:25:15","date_gmt":"2025-07-19T13:25:15","guid":{"rendered":"https:\/\/www2.mie.uth.gr\/?page_id=18383"},"modified":"2025-10-25T20:37:26","modified_gmt":"2025-10-25T17:37:26","slug":"%ce%bc%cf%852200-introduction-to-plasticity-core-elective-materials-track","status":"publish","type":"page","link":"https:\/\/mie.uth.gr\/?page_id=18383&lang=en","title":{"rendered":"\u039c\u03a50601\u00a0Introduction to Plasticity (Compulsory Course 2)"},"content":{"rendered":"\t\t
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\u039c\u03a50601 INTRODUCTION TO PLASTICITY (COMPULSORY COURSE 2)<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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\u039c\u03a50601 INTRODUCTION TO PLASTICITY (COMPULSORY COURSE 2)<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t
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Course Category<\/strong>
Course Type<\/strong>
Secretary Code<\/strong>
Semester<\/strong>
Duration<\/strong>
ECTS Units
Sector<\/strong>
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Undergraduate
Compulsory Core 2
\u039c\u03a50601
7th (Winter)
5 hours\/week
6
Mechanics, Materials and Manufacturing Processes
Agoras Michalis<\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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Course Category: <\/strong>Undergraduate
Course Type: <\/strong>Compulsory Course 2
\u039a\u03c9\u03b4\u03b9\u03ba\u03cc\u03c2 \u0393\u03c1\u03b1\u03bc\u03bc\u03b1\u03c4\u03b5\u03af\u03b1\u03c2:\u00a0<\/strong>\u039c\u03a52200
Semester: <\/strong>7th (Winter)
Duration: <\/strong>5 hours\/week
ECTS Units:\u00a0<\/strong>6
Sector:<\/strong> Mechanics Materials and Manufacturing Processes
Instructor: <\/strong>Agoras Michalis<\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t

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<\/i>Aim<\/span><\/div>

Objective of the course is to introduce the student to the basic concepts of mechanical behavior of metals in the plastic range.\u00a0 After completing the course, the student should be able to carry out basic calculations of plasticity of mechanical engineering components.<\/span><\/p><\/div>\n\t\t\t\t\t<\/div>

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<\/i>Syllabus<\/span><\/div>

Introduction: <\/strong><\/span>Micromechanisms of plastic deformation in metals, polymers and geomaterials.
Yield criteria:<\/strong><\/span> The general form of the yield criterion in isotropic materials. Yield criteria independent of hydrostatic stress. Geometric interpretation of the yield criterion in principal stress space, the \u03c0\u2010plane.
The plastic flow rule:<\/strong> <\/span>Description of hardening. The postulates of Drucker and Il\u2019iushin, plastic work.\u00a0 Convexity of the yield surface. The normality rule (\u201cassociated\u201d flow rule). The Prandtl\u2010Reuss equations.
Solution of elastoplastic problems:<\/strong><\/span> Beam bending, torsion, unloading and calculation of residual stresses.\u00a0 Hollow cylinder under internal pressure. Combination of tension and torsion, dependence of solution on the loading path.
Limit analysis:<\/strong><\/span> Statically admissible stress fields and kinematically admissible velocity fields. Stress and\u00a0 velocity discontinuities. The theorems of limit analysis. Examples. Application to plane\u2010strain problems, the \u201ctrapezoidal\u201d stress field.
Slip line fields:<\/strong><\/span> The general method of solution of a system of first order quasi\u2010linear equations of two
variables. Plane deformation of a rigid perfectly plastic continuum. The hyperbolicity of the governing equations and the calculation of the \u201ccharacteristics\u201d (slip lines). Discontinuous stresses and velocities. Properties of the slip lines. Examples of simple slip line fields. Numerical methods for the determination of slip line fields.
Applications to metal forming:<\/span><\/strong> Analysis of extrusion, drawing and rolling.<\/p><\/div>\n\t\t\t\t\t<\/div>

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<\/i>Literature<\/span><\/div>

Suggested bibliography:<\/span> <\/strong>
\u2022 N. Aravas, \u00abTheory of Plasticity\u00bb, Class Notes, University of Thessaly Press.
\u2022 J. Lubliner, \u00abPlasticity Theory\u00bb, Macmillan Publishing Company, 1990.
\u2022 R. Hill, \u00abThe Mathematical Theory of Plasticity\u00bb, Oxford University Press, 1998.
\u2022 L. M. Kachanov, \u00abFoundations of the Theory of Plasticity\u00bb, Dover Publications, 2004.
\u2022 W. Johnson and P. B. Mellor, \u00abEngineering Plasticity\u00bb, Ellis Horwood, 1983<\/p><\/div>\n\t\t\t\t\t<\/div>

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<\/i>Teaching Language<\/span><\/div>

Greek<\/p><\/div>\n\t\t\t\t\t<\/div>

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<\/i>Teaching Method<\/span><\/div>

Lectures<\/p><\/div>\n\t\t\t\t\t<\/div>

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<\/i>Student Performance Evaluation<\/span><\/div>

\u00a0<\/p>
Final Exams:<\/strong><\/td>100%<\/td><\/tr><\/tbody><\/table><\/div>\n\t\t\t\t\t<\/div>
\n\t\t\t\t\t
<\/i>Workload (in hours)<\/span><\/div>
Activity<\/strong><\/td>Semester workload<\/strong><\/td><\/tr>
Lectures<\/td>60<\/td><\/tr>
Laboratory Exercises<\/td>30<\/td><\/tr>
Study<\/td>60<\/td><\/tr>
Course Total<\/strong><\/td>150<\/strong><\/td><\/tr><\/tbody><\/table>

\u00a0<\/h3>

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