Stress And Strain Analysis At The Tip Field Of A V-notched In Concrete Material

V-notched problems of concrete material are frequently encountered in practical engineering,and they seriously influenced the carrying capacity of the concrete component.As we all know,the tip of the V-notched has singularity,and it is likely to become crack initial point.So researching the stress-strain field problems on the V-notched problems of the concrete material has very important significance.Based on these,the main research items in this dissertation were as follows:Firstly,the static crack problem in concrete material was detailedly studied under the plane strain condition.A new constitutive equations for pressure-sensitive dilatant materials were also established based on the elastic-plastic theory.At the same time,the asymptotic governing equations were deduced as well with the help of the fundamental equations and the rational analysis on the singularity of crack tip fields.Secondly,according to the boundary conditions with variational V-notched opening angleβ,the tip field of a V-notched were analyzed by using the shooting method.Stress and strain singularity which were relative to V-notched opening angleβand power hardening index n were also obtained.Meanwhile the changing laws of the stress and strain fields which changed with three coefficients, including V-notched opening angleβ,power hardening index n and pressure sensitivity dilatants coefficientαwere gained as well.Finally,the tip stress and strain fields on the V-notched of the pressure-sensitive dilatant materials were compared with that in the former document.The results indicated that the conclusions given in this paper were reasonable.The results here may provide the theoretical references for the production and application of the concrete material.