英汉双语弹性力学2.ppt

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1、Chapter2TheBasicTheoryofthePlaneProblemElasticity1第二章平面问题的基本理论2TheBasicTheoryofthePlaneProblemChapter2TheBasictheoryofthePlaneProblem§2-11Stressfunction.Inversesolutionmethodandsemi-inversemethod§2-1Planestressproblemandplanestrainproblem§2-2Differentialequationofequilibrium§2-3Thestresso

2、ntheincline.Principalstress§2-4Geometricalequation.Thedisplacementoftherigidbody§2-5Physicalequation§2-6Boundaryconditions§2-7Saint-Venant’sprinciple§2-8Solvingtheplaneproblemaccordingtothedisplacement§2-9Solvingtheplaneproblemaccordingtothestress.Compatibleequation§2-10Thesimplificationu

3、nderthecircumstancesofordinaryphysicalforceExerciseLesson3平面问题的基本理论第二章平面问题的基本理论§2-11应力函数逆解法与半逆解法§2-1平面应力问题与平面应变问题§2-2平衡微分方程§2-3斜面上的应力主应力§2-4几何方程刚体位移§2-5物理方程§2-6边界条件§2-7圣维南原理§2-8按位移求解平面问题§2-9按应力求解平面问题。相容方程§2-10常体力情况下的简化习题课41.Planestressproblem§2-1PlanestressproblemandplanestrainproblemInac

4、tualproblem,itisstrictlysayingthatanyelasticbodywhoseexternalforceforsufferingisaspacesystemofforcesisgenerallythespaceobject.However,whenboththeshapeandforcecircumstanceoftheelasticbodyforinvestigatinghavetheirowncertaincharacteristics.Aslongastheabstractionofthemechanicsishandledtogethe

5、rwithappropriatesimplification,itcanbeconcludedastheelasticityplaneproblem.Theplaneproblemisdividedintotheplanestressproblemandplanestrainproblem.Equalthicknesslamellabearsthesurfaceforcethatparallelswithplatefaceanddon’tchangealongthethickness.Atthesametime,sodoesthevolumetricforce.σz=0τ

6、zx=0τzy=0Fig.2－1TheBasicTheoryofthePlaneProblem5一、平面应力问题§2-1平面应力问题与平面应变问题在实际问题中，任何一个弹性体严格地说都是空间物体，它所受的外力一般都是空间力系。但是，当所考察的弹性体的形状和受力情况具有一定特点时，只要经过适当的简化和力学的抽象处理，就可以归结为弹性力学平面问题。平面问题分为平面应力问题和平面应变问题。等厚度薄板，板边承受平行于板面并且不沿厚度变化的面力，同时体力也平行于板面并且不沿厚度变化。σz=0τzx=0τzy=0图2－1平面问题的基本理论6TheBasicTheoryofthePla

7、neProblemxyCharacteristics：1)Thedimensionoflengthandbreadthisfarlargerthanthatofthickness.2)Theforcealongtheplatefaceforsufferingisthefaceforceinparallelwithplateface,andalongthethicknesseven,thevolumetricforceisinparallelwithplateforceanddoesn’tchangealongthethickn