利用混凝土双轴强度试验的概率反问题研究

Inverse Problem of Probability of Concrete Biaxial Strength Test

摘要:

基于概率密度演化理论和混凝土随机损伤力学，从概率密度的角度，建立了一类随机建模准则。以混凝土双轴强度试验为背景，利用遗传算法，提出了一类概率反问题求解方法。利用混凝土双轴试验数据及提出的求解方法，对混凝土弹塑性随机损伤本构模型中的断裂应变统计参数进行识别，获得了本构模型的基本参数。研究表明，据此识别的模型参数能从概率密度与统计矩两个层面准确地反映混凝土强度的随机性。该研究为概率反问题的求解提供一种可行的途径。

关键词:混凝土;概率反问题;本构关系;随机损伤力学;概率密度演化

Abstract:

On basis of the probability density evolution theory and stochastic damage mechanics of concrete， a class of stochastic modeling principle is established from the perspective of probability density. In the context of concrete biaxial strength tests， a method is proposed to solve the inverse problem of probability based on the genetic algorithm. Utilizing the test data and the proposed method， the statistical parameters of fracture strain in the elastoplastic stochastic damage model for concrete are identified， and the basic parameters of the model are obtained. It is demonstrated that the identified parameters can faithfully capture the randomness of concrete strength at both probability density and statistical moment levels. The study of this paper aims to provide a new road for solving the inverse problem of probability.

Key words:concrete;the inverse problem of probability;constitutive relationship;stochastic damage mechanics;probability density evolution