北京航空航天大学学报
北京航空航天大學學報
북경항공항천대학학보
2001年
3期
328-331
,共4页
生物力学%应变能%本构关系
生物力學%應變能%本構關繫
생물역학%응변능%본구관계
用多项式表示高度非线性的本构关系时,多项式中往往含有很多高阶项,而要获得与这些高阶项对应的材料常数,存在许多困难.为降低多项式的次数,应在多项式中加入修正项.对Taylor展开式进行修正的方法,以及在曲线拟合过程中需要使用的技巧有许多值得探讨之处.
用多項式錶示高度非線性的本構關繫時,多項式中往往含有很多高階項,而要穫得與這些高階項對應的材料常數,存在許多睏難.為降低多項式的次數,應在多項式中加入脩正項.對Taylor展開式進行脩正的方法,以及在麯線擬閤過程中需要使用的技巧有許多值得探討之處.
용다항식표시고도비선성적본구관계시,다항식중왕왕함유흔다고계항,이요획득여저사고계항대응적재료상수,존재허다곤난.위강저다항식적차수,응재다항식중가입수정항.대Taylor전개식진행수정적방법,이급재곡선의합과정중수요사용적기교유허다치득탐토지처.
The first part of this paper proposed and verified new constitutive laws describing nonlinear stress-strain relation of blood vessel. It can be used for large deformation calculation of blood vessels in the biomechanics regime. The correlation between the proposed formula and experimental data is excellent and better than that of the existing exponential expressions. But when the material is high nonlinear, the Taylor expansion may have too many terms. It's very difficult to get the material constants corresponding to those terms. So a correct term is added in this part to decrease the number of the terms.