基于尺寸效应的类岩石材料点荷载指标与单轴抗压强度对应关系研究.docx

基于尺寸效应的类岩石材料点荷载指标与单轴抗压强度对应关系研究
摘要
本文旨在研究基于尺寸效应的类岩石材料点荷载指标与单轴抗压强度的对应关系。通过对不同尺寸的岩石样本进行单轴抗压实验和点荷载实验，得到实验数据，并利用统计分析方法进行数据处理。结果表明，随着岩石样本尺寸的减小，单轴抗压强度和点荷载指标呈现出逐渐增大的趋势，并出现了尺寸效应。通过建立适当的数学模型，实现了点荷载指标与单轴抗压强度之间的对应关系的精确描述。本研究对于优化类岩石材料的力学性能设计和岩石工程实践具有一定的参考意义。
关键词：尺寸效应；类岩石材料；点荷载指标；单轴抗压强度；数学模型
Abstract
Thepurposeofthisstudyistoinvestigatethecorrespondencebetweenpointloadindexanduniaxialcompressivestrengthofrock-likematerialsbasedonsizeeffect.Single-axiscompressionandpointloadtestswereconductedonrocksamplesofdifferentsizestoobtainexperimentaldata,whichwerefurtherprocessedbystatisticalanalysismethods.Theresultsshowedthatasthesizeofrocksamplesdecreased,theuniaxialcompressivestrengthandpointloadindexgraduallyincreased,andsizeeffectappeared.Byestablishingappropriatemathematicalmodel,anaccuratedescriptionofthecorrespondencebetweenpointloadindexanduniaxialcompressivestrengthwasachieved.Thisstudyhascertainreferencesignificanceforoptimizingthemechanicalperformancedesignofrock-likematerialsandrockengineeringpractice.
Keywords:sizeeffect;rock-likematerial;pointloadindex;uniaxialcompressivestrength;mathematicalmodel
1.Introduction
Rock-likematerialsarewidelyusedinrockengineeringpracticeduetotheirexcellentmechanicalpropertiesanddurability[1-3].Inordertooptimizethemechanicalperformancedesignofrock-likematerials,itisnecessarytostudytheirmechanicalpropertiesandthecorrespondinginfluencingfactorsindepth.
Sizeeffectisanimportantfactoraffectingthemechanicalpropertiesofrock-likematerials.Asthesizeofrocksamplesdecreases,theratioofsurfaceareatovolumeincreases,resultinginanincreaseinsurfaceenergy[4-6].Thiscancausechangesintheinternalstructureandmechanicalpropertiesofrock-likematerials,leadingtosizeeffect.
Uniaxialcompressivestrengthisoftenusedasanimportantindextoevaluatethemechanicalpropertiesofrock-likematerials[7,8].However,itisdifficulttomeasuretheuniaxialcompressivestrengthofrock-likematerialsonsite,whichlimitsitspracticalapplicationtosomeextent.Pointloadtestisasimpleandconvenientmethodtodeterminethem