ELASTICITY(弹性力学)常用专业名词中英文对照-修改

1、第 1 页ELASTICITY(弹弹性性力力学学)常常用用专专业业名名词词中中英英文文对对照照中中文文英英文文英英文文中中文文艾利应力函数Airy stress functionAiry stress function艾利应力函数板plateanti-sysmetric tensor反对称张量板边bounday of plateapplied elasticity应用弹性力学板的抗弯强度flexural rigidity of plateaxisymmetry轴对称板的内力internal force of platebase vector基矢量板的中面middle plane of plat

2、ebasic assumptions ofelasticity弹性力学基本假定贝尔特拉米-米歇尔方程Beltrami-Michell equationbasic equation for thebending of thin plate薄板弯曲的基本方程 贝蒂互换定理Betti reciprocal theoremBeltrami consistencyequation贝尔特拉米相容方程变温temperature changeBeltrami-Michell equation贝尔特拉米-米歇尔方程表层波surface waveBetti reciprocal theorem贝蒂互换定理半逆解法

3、semi-inverse methodbody force体力薄板thin plateboundary condition边界条件薄板弯曲的基本方程 basic equation for thebending of thin platebounday of plate板边薄膜比拟membrage analogyBoussinesq problem布西内斯克问题布西内斯克问题Boussinesq problemBoussinesq solution布西内斯克解答布西内斯克解答Boussinesq solutionBoussinesq solution布西内斯克解答布西内斯克-伽辽金通解Bouss

4、inesq-Galerkingeneral solutionBoussinesq-Galerkingeneral solution布西内斯克-伽辽金通解半空间体semi-infinite bodybulk modulus体积模量半平面体semi-infinite planeCastigliano formula卡斯蒂利亚诺公式贝尔特拉米相容方程Beltrami consistencyequationCauchy equation柯西方程边界条件boundary conditionCerruti problem塞路蒂问题变分法（能量法）variational method,energymetho

5、dcharacteristic equation ofstress state应力状态特征方程薄板内力internal forces of thin platecoefficient of lateralpressure侧压力系数薄板弹性曲面elatic surface of thin platecomplex potential复位势薄板弹性曲面微分方程differential equation ofelastic surface of thin platecondition of single-valuedisplacement位移单值条件薄板弯曲刚度flexural rigidity o

6、f thinplateconsistency equation相容方程布西内斯克解答Boussinesq solutioncontact problem接触问题产熵entropy prodctioncontinuity连续性沉陷settlementcontinuous hypothesis连续性假设侧压力系数coefficient of lateralpressurecoordinate curves坐标曲线差分法finite-difference methordcoordinate surface坐标曲面第 2 页差分公式finite-difference fromulatecoupling

7、耦合重三角级数double triangle seriescurvilinear coordinates曲线坐标大挠度问题large deflection problemdeflection挠度单位张量unit tensordeformation形变单元分析element analysisdensity of comlementarystrain energy应变余能密度单元刚度矩阵element stiffness matrixdensity of internal energy内能密度等容波equivoluminal wavediaplacement位移等容的位移场equivolumina

8、ldisplacement fielddiaplacement components位移分量叠加原理superposition principlediaplacement method位移解法度量张量metric tensordiaplacement method位移法对称张量symmetric tensordiaplacement shapefunction位移的形函数单连体simply connected bodydiaplacement variationalequation位移变分方程单三角级数解single triangle seriesdifferential equation o

9、felastic surface 弹性曲面的微分方程单元节点载荷列阵elemental nodal loadmatrixdifferential equation ofelastic surface of thin plate薄板弹性曲面微分方程单元劲度矩阵elemental stiffness matrixdifferential equation ofequilibrium平衡微分方程多连体multiply connected bodydifferential equation ofequilibrium in terms ofdisplacement以位移表示的平衡微分方程二阶张量sec

10、ond order tensordilatation wave膨胀波反对称张量anti-sysmetric tensordiscretization离散化符拉芒解答Flamant solutondiscretization structure离散化结构反射reflectiondisplacement boundarycondition位移边界条件傅里叶变换Fourier transformdisplacement model位移模式傅里叶积分Fourier integraldistrotion wave畸变波复位势complex potentialdouble triangle series重

11、三角级数格林公式Green formuladummy index哑指标各向同性假设isotropic hypothesiselastic body弹性体供熵entropy supplyelastic constants弹性常数广义变分原理generanized variatianalprincipleelastic matrix弹性矩阵广义胡克定律generanized Hooke lawelastic principle direction弹性主方向刚体位移rigid body displacementelastic symmetric plane弹性对称面各向同性isotropyelast

12、ic wave弹性波哈密顿变分原理Hamiton varitionalprincipleelasticity弹性 哈密顿作用量Hamiton actionelasticity弹性力学赫林格-赖斯纳变分原理Hellinger-Reissnervariational principleelatic surface of thin plate薄板弹性曲面第 3 页亥姆霍兹定理Helmholtz theoremelement analysis单元分析横观各向同性弹性体transverse isotropic elasticbodyelement stiffness matrix单元刚度矩阵横波tran

13、sverse waveelemental nodal loadmatrix单元节点载荷列阵厚板thick plateelemental stiffness matrix单元劲度矩阵胡海昌-鹫津久一郎变分原理Hu Haichang-Washizuvariational principleenergy method能量法混合边值问题mixed boundary-valueproblementropy prodction产熵胡克定律Hooke lawentropy supply供熵混合边界条件mixed boundary conditionequation of stresscompatibilit

14、y应力协调方程畸变波distrotion waveequivalent shear forcetorsional moment扭矩等效剪力基尔霍夫假设Kirchhoff hypothesisequivoluminaldisplacement field等容的位移场基矢量base vectorequivoluminal wave等容波几何方程geometrical equationEuler method欧拉法几何可能的位移geometrically possibledisplacementEuler strain components欧拉应变分量几何可能的应变geometrically pos

15、siblestriainexternal force 外力几何线性的假设geometrically linearhypothesisfinite element有限元伽辽金法Galerkin methodfinite element method有限单元法伽辽金矢量Galerkin vectorfinite-difference fromulate差分公式结点nodefinite-difference methord差分法结点荷载nodal loadfirst law ofthermodynamics热力学第一定律结点力nodal forcefirst(second,third)kindbou

16、ndary-value problemof elasticity弹性力学的第一（第二、第三）类边值条件结点位移nodal displacementFlamant soluton符拉芒解答解的唯一性定理theorem of uniquenesssolutionflexural rigidity of plate板的抗弯强度静力可能的应力statically possible stressflexural rigidity of thinplate薄板弯曲刚度均匀性假设homogeneous hypothesisFourier integral傅里叶积分局部编码local codingFourie

17、r transform傅里叶变换基尔斯解答Kirsch solutionfree energy density自由能密度极小势能原理princile of minimumpotential energyfree index自由指标接触问题contact problemGalerkin method伽辽金法均匀性homogeneityGalerkin vector伽辽金矢量第 4 页卡斯蒂利亚诺公式Castigliano formulageneranized Hooke law广义胡克定律开尔文问题Kelvin problemgeneranized variatianalprinciple广义变

18、分原理扭转刚度torsional rigiditygeometrical equation几何方程柯西方程Cauchy equationgeometrically linearhypothesis几何线性的假设克罗内克符号Kroneckerdelta symbolgeometrically possibledisplacement几何可能的位移空间轴对称问题spatial axisymmetryproblemgeometrically possiblestriain几何可能的应变孔口应力集中stress concentration ofholesglobal analysis整体分析拉梅解答L

19、ame slution global analysis整体分析离散化结构discretization structureglobal coding总体编码理想弹性体perfect elastic bodyglobal equivalent nodalload vector整体等效结点荷载列阵连续性continuityglobal nodal displacementvector整体结点位移列阵拉格朗日法Lagrange methodglobal stiffness matrix总刚度矩阵拉格朗日函数Lagrange functionglobal stiffness matrix整体劲度矩阵拉格

20、朗日应变函数Lagrange straincomponentsGreen formula格林公式拉梅常数Lam constantsHamiton action哈密顿作用量拉梅系数Lam coefficientHamiton varitionalprinciple哈密顿变分原理拉梅方程Lam equationheat-conduction equation热传导方程拉梅应变势Lam strain potentialHellinger-Reissnervariational principle赫林格-赖斯纳变分原理莱维方程Lvy equationHelmholtz theorem亥姆霍兹定理勒夫应

21、变函数Love strain functionhomogeneity均匀性离散化discretizationhomogeneous hypothesis均匀性假设连续性假设continuous hypothesisHooke law胡克定律梁的纯弯曲pure bending of beamHookes law of volume体应变胡克定律莱维解Lvy solutionHu Haichang-Washizuvariational principle胡海昌-鹫津久一郎变分原理面力surface forceinfinitesimal deformationhypothesis小变形假设膜板mem

22、brane plateinternal force内力米歇尔相容方程Michell consistencyequationinternal force of plate板的内力挠度deflectioninternal forces of thin plate薄板内力内力internal forceinverse method逆解法能量法energy methodirrotational displacementfield无旋的位移场逆解法inverse methodirrotational wave无旋波第 5 页扭矩等效剪力equivalent shear forcetorsional mo

23、mentisotropic hypothesis各向同性假设扭转torsionisotropy各向同性纳维解Navier solutionKelvin problem开尔文问题内能密度density of internal energyKirchhoff hypothesis基尔霍夫假设纽勃-巴博考维奇通解Neuber-Papkovichgeneral solutionKirsch solution基尔斯解答欧拉法Euler methodKroneckerdelta symbol克罗内克符号欧拉应变分量Euler strain componentsLagrange function拉格朗日函数

24、耦合couplingLagrange method拉格朗日法膨胀波dilatation waveLagrange straincomponents拉格朗日应变函数平衡微分方程differential equation ofequilibriumLam coefficient拉梅系数平面波plane waveLam constants拉梅常数平面应力问题plane stress problemLam equation拉梅方程平面应变问题plane strain problemLame slution 拉梅解答泊松比Poisson ratioLam strain potential拉梅应变势普朗特

25、比拟Prandtl analogylarge deflection problem大挠度问题普朗特应力函数Prandtl stress functionLvy equation莱维方程切变模量shear modulusLvy solution莱维解切应变shear strainlinear elasticity线性弹性力学切应力shear stresslinear expansioncoefficient线膨胀系数切应力互等定理reciprocal theorem ofshear stresslinear thermal elasticity线性热弹性力学切应力线shear stress li

26、neslocal coding局部编码求和约定summation conventionlongitudinal wave纵波球面波spherical waveLove strain function勒夫应变函数曲线坐标curvilinear coordinatesmathematical elasticity数学弹性力学热力学第一定律first law ofthermodynamicsmembrage analogy薄膜比拟热力学第二定律second law ofthermodynamicsmembrane plate膜板热弹性应变势thermal elastic strainpotentia

27、lmetric tensor度量张量热应力thermal stressMichell consistencyequation米歇尔相容方程热传导方程heat-conduction equationmiddle plane of plate板的中面瑞利波Rayleigh wavemixed boundary condition混合边界条件瑞利-里茨法Rayleigh-Ritz methodmixed boundary-valueproblem混合边值问题三阶张量third order tensor multiply connected body多连体塞路蒂问题Cerruti problemNav

28、ier solution纳维解圣维南扭转函数Saint-Venant torsionfunctionNeuber-Papkovichgeneral solution纽勃-巴博考维奇通解第 6 页圣维南方程Saint-Venant equationno initial stress hypothesis无初始应力的假设圣维南原理Saint-Venant principlenodal displacement结点位移数学弹性力学mathematical elasticitynodal force结点力弹性 elasticitynodal load结点荷载弹性波elastic wavenode结点弹

29、性常数elastic constantsnormal strain线应变弹性对称面elastic symmetric planenormal strain正应变弹性力学的平面问题plane problem of elasticitynormal stress正应力弹性力学的第一（第二、第三）类边值条件first(second,third)kindboundary-value problemof elasticityorthotropic elastic body正交各向异性弹性体弹性曲面的微分方程differential equation ofelastic surface perfect e

30、lastic body理想弹性体弹性体elastic bodyperfect elasticity完全弹性弹性体的虚功原理principle of virtual workfor elastic solidperfectly elastic body完全弹性体弹性主方向elastic principle directionperfectly elastichypothesis完全弹性的假设弹性矩阵elastic matrixpermulation tensor置换张量体力body forcephysical equation物理方程体应变胡克定律Hookes law of volumephys

31、ically liner hypothesis物理线性的假设弹性力学elasticityplane problem of elasticity弹性力学的平面问题弹性力学基本假定basic assumptions ofelasticityplane strain problem平面应变问题体积模量bulk modulusplane stress problem平面应力问题体积应力volumetric strainplane wave平面波体应变volumetric strainplate板完全弹性的假设perfectly elastichypothesisPoisson ratio泊松比完全弹性

32、体perfectly elastic bodypotential energy ofexternal force 外力势能位移边界条件displacement boundaryconditionpotential functiondecomposition ofdisplacement field位移场的势函数分解式位移变分方程diaplacement variationalequationPrandtl analogy普朗特比拟位移场的势函数分解式potential functiondecomposition ofdisplacement fieldPrandtl stress functi

33、on普朗特应力函数位移分量diaplacement componentspressure tunnel压力隧道位移解法diaplacement methodprincile of minimumpotential energy极小势能原理位移的形函数diaplacement shapefunctionprincipal plane主平面第 7 页无初始应力的假设no initial stress hypothesisprincipal shear stress主切应力无旋波irrotational waveprincipal strain主应变无旋的位移场irrotational displa

34、cementfieldprincipal stress主应力物理线性的假设physically liner hypothesisprinciple direction of strain应变主方向外力external force principle direction ofstress应力主方向外力功work of external force principle of least work最小功原理外力势能potential energy ofexternal force principle of minimumcomplementary energy最小余能原理完全弹性perfect el

35、asticityprinciple of minimumpotential energy最小势能原理位移diaplacementprinciple of virtual workfor elastic solid弹性体的虚功原理位移单值条件condition of single-valuedisplacementprinciple plane of stress应力主面位移法diaplacement methodpure bending of beam梁的纯弯曲位移模式displacement modelquadratic surface of strain应变二次曲面物理方程physical

36、 equationquadratic surface of stress应力二次曲面线膨胀系数linear expansioncoefficientRayleigh wave瑞利波线性弹性力学linear elasticityRayleigh-Ritz method瑞利-里茨法线性热弹性力学linear thermal elasticityreciprocal theorem ofshear stress切应力互等定理相对位移张量relative displacementtensorreflection反射小变形假设infinitesimal deformationhypothesisrefr

37、action折射小挠度问题small deflection matrixrelative displacementtensor相对位移张量形函数矩阵shape function matrixrigid body displacement刚体位移虚位移virtual displacementrotation components转动分量虚位移方程virtual displacementequationrotation vector转动矢量虚应变virtual strainSaint-Venant equation圣维南方程虚应力virtual stress Saint-Venant princi

38、ple圣维南原理虚应力方程virtual stress equationSaint-Venant torsionfunction圣维南扭转函数线应变normal strainsecond law ofthermodynamics热力学第二定律相容方程consistency equationsecond order tensor二阶张量形变deformationsemi-infinite body半空间体形变势能strain erergysemi-infinite plane半平面体形函数shape functionsemi-inverse method半逆解法虚功方程virtual work

39、equationsettlement沉陷第 8 页哑指标dummy indexshape function形函数杨氏模量Young modulusshape function matrix形函数矩阵一点的应变状态state of strain at a pointshear modulus切变模量一点的应力状态state of stress at a pointshear strain切应变以位移表示的平衡微分方程differential equation ofequilibrium in terms ofdisplacementshear stress切应力应变二次曲面quadratic s

40、urface of strainshear stress lines切应力线应变分量strain componentssimply connected body单连体应变能密度strain energy densitysingle triangle series单三角级数解应变矩阵strain matrixsmall deflection matrix小挠度问题应变协调方程strain compatibilityequationspatial axisymmetryproblem空间轴对称问题应变余能密度density of comlementarystrain energyspherical

41、 wave球面波应变张量strain tensorstate of strain at a point一点的应变状态应变张量不变量strain tensor invariantstate of stress at a point一点的应力状态应变主方向principle direction of strainstatically possible stress静力可能的应力应力变分方程stress variational equationstrain compatibilityequation应变协调方程应力边界条件stress boundary conditionstrain compone

42、nts应变分量应力二次曲面quadratic surface of stressstrain energy density应变能密度应力分量stress componentsstrain erergy形变势能应力环量stress circulationstrain matrix应变矩阵应力解法stress methodstrain tensor应变张量应力矩阵stress matrixstrain tensor invariant应变张量不变量应力协调方程equation of stresscompatibilitystress boundary condition应力边界条件应力张量stre

43、ss tensorstress circulation应力环量应力张量不变量stress tensor invariantstress components应力分量应力主方向principle direction ofstressstress concentration ofholes孔口应力集中应力状态特征方程characteristic equation ofstress statestress matrix应力矩阵应用弹性力学applied elasticitystress method应力解法有限元finite elementstress method 应力法圆柱体扭转torsion

44、of circular barstress tensor应力张量压力隧道pressure tunnelstress tensor invariant应力张量不变量应力法stress method stress variational equation应力变分方程应力主面principle plane of stresssummation convention求和约定有限单元法finite element methodsuperposition principle叠加原理折射refractionsurface force面力整体等效结点荷载列阵global equivalent nodalloa

45、d vectorsurface wave表层波整体结点位移列阵global nodal displacementvectorsymmetric tensor对称张量第 9 页整体分析global analysistemperature change变温正应变normal straintheorem of uniquenesssolution解的唯一性定理正应力normal stressthermal elastic strainpotential热弹性应变势正交各向异性弹性体orthotropic elastic bodythermal stress热应力置换张量permulation ten

46、sorthick plate厚板主应变principal strainthin plate薄板主应力principal stressthird order tensor 三阶张量主平面principal planetorsion扭转主切应力principal shear stresstorsion of circular bar圆柱体扭转转动矢量rotation vectortorsional rigidity扭转刚度转动分量rotation componentstotal complementaryenergy总余能自由能密度free energy densitytotal potentia

47、l energy总势能自由指标free indextransverse isotropic elasticbody横观各向同性弹性体纵波longitudinal wavetransverse wave横波总刚度矩阵global stiffness matrixunit tensor单位张量总势能total potential energyvariational method,energymethod变分法（能量法）总余能total complementaryenergyvirtual displacement虚位移总体编码global codingvirtual displacementequ

48、ation虚位移方程最小功原理principle of least workvirtual strain虚应变最小势能原理principle of minimumpotential energyvirtual stress 虚应力最小余能原理principle of minimumcomplementary energyvirtual stress equation虚应力方程坐标曲面coordinate surfacevirtual work equation虚功方程坐标曲线coordinate curvesvolumetric strain体积应力整体分析global analysisvol

49、umetric strain体应变整体劲度矩阵global stiffness matrixwork of external force 外力功轴对称axisymmetryYoung modulus杨氏模量英文中文Airy stress function艾利应力函数1anti-sysmetric tensor反对称张量49applied elasticity应用弹性力学245axisymmetry轴对称280base vector基矢量75basic assumptions ofelasticity弹性力学基本假定176basic equation for thebending of thin

50、 plate薄板弯曲的基本方程 13Beltrami consistencyequation贝尔特拉米相容方程20Beltrami-Michell equation贝尔特拉米-米歇尔方程7Betti reciprocal theorem贝蒂互换定理8body force体力173boundary condition边界条件21bounday of plate板边3Boussinesq problem布西内斯克问题15Boussinesq solution布西内斯克解答16Boussinesq solution布西内斯克解答27Boussinesq-Galerkingeneral solutio

51、n布西内斯克-伽辽金通解17bulk modulus体积模量177Castigliano formula卡斯蒂利亚诺公式94Cauchy equation柯西方程97Cerruti problem塞路蒂问题157characteristic equation ofstress state应力状态特征方程244coefficient of lateralpressure侧压力系数30complex potential复位势54condition of single-valuedisplacement位移单值条件197consistency equation相容方程214contact probl

52、em接触问题92continuity连续性104continuous hypothesis连续性假设115coordinate curves坐标曲线277coordinate surface坐标曲面276coupling耦合132curvilinear coordinates曲线坐标148deflection挠度121deformation形变215density of comlementarystrain energy应变余能密度229density of internal energy内能密度128diaplacement位移196diaplacement components位移分量18

53、5diaplacement method位移解法186diaplacement method位移法198diaplacement shapefunction位移的形函数187diaplacement variationalequation位移变分方程183differential equation ofelastic surface 弹性曲面的微分方程168differential equation ofelastic surface of thin plate薄板弹性曲面微分方程25differential equation ofequilibrium平衡微分方程134differentia

54、l equation ofequilibrium in terms ofdisplacement以位移表示的平衡微分方程223dilatation wave膨胀波133discretization离散化114discretization structure离散化结构102displacement boundarycondition位移边界条件182displacement model位移模式199distrotion wave畸变波73double triangle series重三角级数33dummy index哑指标219elastic body弹性体169elastic constant

55、s弹性常数164elastic matrix弹性矩阵172elastic principle direction弹性主方向171elastic symmetric plane弹性对称面165elastic wave弹性波163elasticity弹性 162elasticity弹性力学175elatic surface of thin plate薄板弹性曲面24element analysis单元分析36element stiffness matrix单元刚度矩阵37elemental nodal load matrix单元节点载荷列阵45elemental stiffness matrix单

56、元劲度矩阵46energy method能量法123entropy prodction产熵28entropy supply供熵57equation of stresscompatibility应力协调方程240equivalent shear forcetorsional moment扭矩等效剪力125equivoluminal displacementfield等容的位移场39equivoluminal wave等容波38Euler method欧拉法130Euler strain components欧拉应变分量131external force 外力192finite element有限

57、元246finite element method有限单元法251finite-difference fromulate差分公式32finite-difference methord差分法31first law of thermodynamics热力学第一定律149first(second,third)kindboundary-value problem ofelasticity弹性力学的第一（第二、第三）类边值条件167Flamant soluton符拉芒解答50flexural rigidity of plate板的抗弯强度4flexural rigidity of thin plate薄

58、板弯曲刚度26Fourier integral傅里叶积分53Fourier transform傅里叶变换52free energy density自由能密度266free index自由指标267Galerkin method伽辽金法80Galerkin vector伽辽金矢量81generanized Hooke law广义胡克定律59generanized variatianalprinciple广义变分原理58geometrical equation几何方程76geometrically linearhypothesis几何线性的假设79geometrically possibledis

59、placement几何可能的位移77geometrically possiblestriain几何可能的应变78global analysis整体分析255global analysis整体分析278global coding总体编码272global equivalent nodalload vector整体等效结点荷载列阵253global nodal displacementvector整体结点位移列阵254global stiffness matrix总刚度矩阵269global stiffness matrix整体劲度矩阵279Green formula格林公式55Hamiton a

60、ction哈密顿作用量63Hamiton varitional principle哈密顿变分原理62heat-conduction equation热传导方程153Hellinger-Reissnervariational principle赫林格-赖斯纳变分原理64Helmholtz theorem亥姆霍兹定理65homogeneity均匀性93homogeneous hypothesis均匀性假设88Hooke law胡克定律71Hookes law of volume体应变胡克定律174Hu Haichang-Washizuvariational principle胡海昌-鹫津久一郎变分