简介:Whenstudyingtheregularpolygonalinclusionin1997,NozakiandTayadiscoverednumericallysomeremarkablepropertiesofEshelbytensor:EshelbytensoratthecenterandtheaveragedEshelbytensorovertheinclusiondomainareequaltothatofacircularinclusionandindependentoftheorientationoftheinclusion.ThenKawashitaandNozakijustifiedthepropertiesmathematically.Inthepresentpaper,someotherpropertiesofaregularpolygonalinclusionarediscovered.WefindthatforanN-foldregularpolygonalinclusionexceptforasquare,thearithmeticmeanofEshelbytensorsatNrotationalsymmetricalpointsintheinclusionisalsoequaltotheEshelbytensorforacircularinclusionandindependentoftheorientationoftheinclusion.Furthermore,intwocorollaries,wepointoutthatEshelbytensoratthecenter,theaveragedEshelbytensorovertheinclusiondomain,andthelineintegralaverageofEshelbytensorsalonganyconcentriccircleoftheinclusionareallidenticalwiththearithmeticmean.
简介:ThispaperpresentsaclosedformsolutionandnumericalanalysisforEshelby’sellipticinclusioninaninfiniteplate.Thecomplexvariablemethodandtheconformalmappingtechniqueareused.Thecontinuityconditionsforthetractionanddisplacementalongtheinterfaceinthephysicalplanearereducedtothesimilarconditionsalongtheunitcircleofthemappingplane.Thepropertiesofthecomplexpotentialsdefinedinthefiniteellipticregionareanalyzed.Fromthecontinuityconditions,onecanseparateandobtaintherelevantcomplexpotentialsdefinedintheinclusionandthematrix.Fromtheobtainedcomplexpotentials,thedependenceoftherealstrainsandstressesintheinclusionfromtheassumedeigenstrainsisevaluated.Inaddition,thestressdistributionontheinterfacealongthematrixsideisevaluated.Theresultsareobtainedinthepaperforthefirsttime.
简介:pearlitic钢与随机的取向由众多的pearlitic殖民地组成,并且每个殖民地由铁酸盐和渗碳体的许多平行薄片组成。这种材料的组成的行为可以包含两固有的anisotropy,塑料变丑导致anisotropy。对为这种双阶段的材料的周期的粘性的描述被一个基于微观结构的组成的模型的使用为一个pearlitic殖民地,和山为椭圆体的包括合并各向异性的Eshelby张肌的前後一致的计划建议。相应数字算法被开发。pearlitic钢BS11和单相的冷抽的铜的回答使遭到了到一相称性地周期的装载被分析。分析结果与试验性的同意很好。与用各向同性的Eshelby张肌的结果相比,各向同性的近似能以一个简单得多的方法提供可接受的全面回答,这被显示出。
简介:老师说:“豆豆,你来回答这个问题:秦始皇灭六国的先后顺序是什么?”豆豆回答:“韩赵魏楚燕齐。”老师说:“不错,和同学们说说你是怎么背的吧。”豆豆说:“喊赵薇去演戏。”
简介:标准名称:ASTMD5772–15StandardTestMethodforCloudPointofPetroleumProducts(LinearCoolingRateMethod)ASTMD5772–15石油产品浊点的标准试验方法(线性冷却速率法)说明:对于石油产品和生物柴油,浊点是某些用途时能有效使用的最低温度指标。太多的蜡晶