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基于指定应力方法的混凝土开裂的三维数值模拟

张晓庆 王家林 易志坚 张拓 王敏

应用数学和力学2024,Vol.45Issue(12):1541-1554,14.
应用数学和力学2024,Vol.45Issue(12):1541-1554,14.DOI:10.21656/1000-0887.450161

基于指定应力方法的混凝土开裂的三维数值模拟

3D Numerical Simulation of Concrete Cracking Based on Specified Stress Method

张晓庆 1王家林 1易志坚 1张拓 1王敏1

作者信息

  • 1. 重庆交通大学土木工程学院,重庆 400074
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摘要

Abstract

Based on the specified stress method,a new spatial finite element formulation for concrete cracking was derived according to the linear elasticity theory.This formulation was used to create a calculation program with the C++language.The accuracy of the proposed cracking algorithm was validated through 3 numerical ex-amples,where the theoretical results were compared with the ABAQUS XFEM calculations.Beyond convention-al cracking algorithms,the proposed cracking algorithm has the advantage that once the stress at the cracking integration point is specified as zero(in the cracking state),it will remain zero in subsequent calculations.There is no need for an iterative process to adjust it to zero,which means significant reduction of the number of iterations and the amount of data processing required in each iteration.In comparison to the ABAQUS XFEM al-gorithm,which is limited to the 1st-order elements,the proposed cracking algorithm can utilize the 2nd-order elements for crack calculation,and allows for a more accurate determination of the cracked regions and states under the same computational conditions.This work provides a new approach and algorithm for commercial fi-nite element software to conduct more refined crack calculations with the 2nd-order elements.

关键词

指定应力方法/有限元/混凝土开裂/三维数值模拟

Key words

specified stress methods/finite element/concrete cracking/3D numerical simulation

分类

力学

引用本文复制引用

张晓庆,王家林,易志坚,张拓,王敏..基于指定应力方法的混凝土开裂的三维数值模拟[J].应用数学和力学,2024,45(12):1541-1554,14.

应用数学和力学

OA北大核心CSTPCD

1000-0887

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