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| MECA0001-1 | Deformable Solid Mechanics (Basics) | ||||||||
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| Duration : | 30h Th, 30h Pr | ||||||||
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| Holder(s) : | Serge Cescotto | ||||||||
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| Course contents : | The course is in 3 parts : Notions of tensor calculus (8h) Tensors calculus is an additional mathematical tool with respect to vector calculus. It is a basic tool in solid mechanics. Basic knowledge in solid mechanics (36h) Global and local balance equations, notions of stress and strain, constitutive equations of a material and Hookes law, strain energy and links to thermodynamics, virtual works, (links with algebra and mathematical analysis courses are made at this stage: differential and integral calculus, partial differential equations, calculus of variations, demonstration of unicity of a solution, eigenvalues and eigenvectors of a matrix, ; with thermodynamics: use of 1st and 2nd principles and Gibbs theorem; with physics: notions of force, pressure, velocity, resulting forces, moments, couples, work, power, ) Applications to practical cases (16h) Tanks and pipes under pressure, contact between two solids, torsion of prismatic rods, tension and bending of beams, corner-shape pieces, stress concentration, Session Subject Theory Exercises (hours) (hours) SM1 Elements of tensor calculus 2 2 SM2 Elements of tensor calculus 2 2 SM3 Statics: equilibrium of solids 2 2 SM4 Statics: stress tensor, infinitesimal equilibrium equations,... 2 2 SM5 Statics: Mohrs circle 2 2 SM6 Kinetics: displacements and strains, large strain tensors 2 2 SM7 Kinetics: Cauchy strain tensor, Saint-Venants compatibility equations 2 2 SM8 Virtual work principle 2 2 SM9 Hookes law 2 2 SM10 Hookes law 2 2 SM11 Fundamental equations of linear elasticity 2 2 SM12 3D elastic problems: Kelvin, Boussinesq, Hertz 2 2 SM13 Saint-Venants theory of torsion 2 2 SM14 2D elastic problems, Airy stress functions, applications in Cartesian coordinates 2 2 SM15 2D elastic problems, Airy stress functions, applications in polar coordinates 2 2 TOTAL (hours) 30 30 | ||||||||
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| Course objective : | This course establishes a link between general courses of mathematics, physics, thermodynamics... and a particular field of the engineering: the mechanics of solid. It strides towards a double objective: To teach the students how to make use of notions studied in these general courses in broaching a new subject, implying to mix these notions and to develop the aptitude of synthesis and application To give to the students the basics in solid mechanics and to teach them how to apply these ones to some practical cases of linear elasticity. For engineering students who shall specialize in civil engineering, geology, mechanics, aeronautics, applied physics, this course will be of basic use for series of more specialized courses, such as mechanics of materials, theory of structures, knowledge of materials, For the others, this course is an education to scientific approach for engineers, while providing basic terminology that will be useful for discussions with specialists. | ||||||||
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| Prerequisites : | Course of « Physique Générale » , course of « Analyse Mathématique » | ||||||||
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| Workshops : | Exercices sessions (2 h/week immediately after theory lessons). All sessions take place at Sart Tilman campus. | ||||||||
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| Organization : | 2 h of theory followed by 2 h of exercises 1st semester Ex-cathedra courses. Questions especially after the lesson or during pauses Active participation during exercises sessions | ||||||||
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| Written notes : | Classbooks avalaible by AEES. - reference books : NONE - obligatory reading : NONE - advised reading: NONE | ||||||||
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| Assessment : | Written open questions Written exam for theory and exercises Intermediate test (no exemption) Authorized tools during exams : - theory : nothing - exercises : any book | ||||||||
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| Contacts : | Teacher : Prof. S. CESCOTTO, phone: 366 92 46 Secretary : Mrs TURCO, phone: 366 92 60 Assistants : 5 to 7 assistants (changing every year) Monitoring student : None | ||||||||
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ULg : Students and Studies Administration - Academic Affairs
Contact : Monique Marcourt, direction A.E.E.
Date of data : 8/04/2005
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