http://mech.spbstu.ru/?title=Methods_for_Solving_Elasticity_Problems&feed=atom&action=history Methods for Solving Elasticity Problems - Revision history 2024-03-28T11:00:40Z Revision history for this page on the wiki MediaWiki 1.27.3 http://mech.spbstu.ru/?title=Methods_for_Solving_Elasticity_Problems&diff=145564&oldid=prev Шубина Варвара Юрьевна at 11:39, 15 February 2021 2021-02-15T11:39:14Z <p></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;' lang='en'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Older revision</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Revision as of 11:39, 15 February 2021</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">Students who have completed </del>the <del class="diffchange diffchange-inline">course should be able </del>to <del class="diffchange diffchange-inline">use analytical methods </del>of <del class="diffchange diffchange-inline">mathematical physics</del>, <del class="diffchange diffchange-inline">offer </del>models for <del class="diffchange diffchange-inline">solving problems </del>in <del class="diffchange diffchange-inline">the professional field </del>and <del class="diffchange diffchange-inline">justify the necessity and restrictions of their application</del>.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">Theory of Elasticity: Kinematics of solid: The concept of </ins>the <ins class="diffchange diffchange-inline">continuum media and the Lagrange and Euler approaches </ins>to <ins class="diffchange diffchange-inline">the description of its movement; Material derivative of vector and tensor; Strain measures and tensors; Infinitesimal strain tensor and vector of small rotation. Dynamics of solid: Conservation of mass law; Classification of forces acting on the material body; Integral laws of the dynamics; Cauchy’s formula for the stress vector; Stress tensor; Differential equations of the deformable body dynamics. Thermodynamics of solid: First law of thermodynamics in integral and differential forms; Second law of thermodynamics in form of Clausius-Duhem inequality; Universal dissipative inequality; Third law of thermodynamics. Constitutive equations theory elements: Influential parameters, thermomechanical processes and constitutive equations; Material objectivity principle; Isotropic materials; Constitutive equations of isotropic thermoelastic material; Constitutive equations of viscous material; Constitutive equations of ideal plastic material. Constitutive equations in linear mechanics </ins>of <ins class="diffchange diffchange-inline">solid: Classical constitutive equations of form changing processes: elastic material</ins>, <ins class="diffchange diffchange-inline">viscous material, plastic material; Rheological </ins>models <ins class="diffchange diffchange-inline">principle; Kelvin-Voigth material; Maxwell material; Standard linear viscous-elastic material; Ideal elastic-plastic material; Elastic- plastic material with linear hardening; Viscous-elastic-plastic material of Bingham. Basic equations of linear elasticity theory: Closed system of equations and boundary conditions </ins>for <ins class="diffchange diffchange-inline">coupled thermal- elastic problem; Various forms of Hook’s law; Theory of elasticity equations </ins>in <ins class="diffchange diffchange-inline">displacements; Theory of elasticity equations in terms of stresses; Beltrami-Mitchell equations; Theory of elasticity equations </ins>and <ins class="diffchange diffchange-inline">boundary conditions in Pobedria form</ins>.</div></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>back to [[IMDP| International MSc program &quot;Mechanics and Mathematical Modeling&quot;]]</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>back to [[IMDP| International MSc program &quot;Mechanics and Mathematical Modeling&quot;]]</div></td></tr> </table> Шубина Варвара Юрьевна http://mech.spbstu.ru/?title=Methods_for_Solving_Elasticity_Problems&diff=104724&oldid=prev Фролова Ксения at 11:28, 10 April 2019 2019-04-10T11:28:23Z <p></p> <table class="diff diff-contentalign-left" data-mw="interface"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr style='vertical-align: top;' lang='en'> <td colspan='2' style="background-color: white; color:black; text-align: center;">← Older revision</td> <td colspan='2' style="background-color: white; color:black; text-align: center;">Revision as of 11:28, 10 April 2019</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Students who have completed the course should be able to use analytical methods of mathematical physics, offer models for solving problems in the professional field and justify the necessity and restrictions of their application.</div></td><td class='diff-marker'>&#160;</td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>Students who have completed the course should be able to use analytical methods of mathematical physics, offer models for solving problems in the professional field and justify the necessity and restrictions of their application.</div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2">&#160;</td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">back to [[IMDP| International MSc program &quot;Mechanics and Mathematical Modeling&quot;]]</ins></div></td></tr> <!-- diff cache key wikidb-mech_:diff:version:1.11a:oldid:104723:newid:104724 --> </table> Фролова Ксения http://mech.spbstu.ru/?title=Methods_for_Solving_Elasticity_Problems&diff=104723&oldid=prev Фролова Ксения: Created page with "Students who have completed the course should be able to use analytical methods of mathematical physics, offer models for solving problems in the professional field and justif..." 2019-04-10T11:27:22Z <p>Created page with &quot;Students who have completed the course should be able to use analytical methods of mathematical physics, offer models for solving problems in the professional field and justif...&quot;</p> <p><b>New page</b></p><div>Students who have completed the course should be able to use analytical methods of mathematical physics, offer models for solving problems in the professional field and justify the necessity and restrictions of their application.</div> Фролова Ксения