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

ZHANG Xiaoqing; WANG Jialin; YI Zhijian; ZHANG Tuo; WANG Min

doi:10.21656/1000-0887.450161

Volume 45 Issue 12

Dec. 2024

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Article Navigation > Applied Mathematics and Mechanics > 2024 > 45(12): 1541-1554

ZHANG Xiaoqing, WANG Jialin, YI Zhijian, ZHANG Tuo, WANG Min. 3D Numerical Simulation of Concrete Cracking Based on Specified Stress Method[J]. Applied Mathematics and Mechanics, 2024, 45(12): 1541-1554. doi: 10.21656/1000-0887.450161

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

doi: 10.21656/1000-0887.450161

School of Civil Engineering, Chongqing Jiaotong University, Chongqing 400074, P.R.China

Received Date: 2024-05-31
Rev Recd Date: 2024-07-04
Publish Date: 2024-12-01

Abstract

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 examples, where the theoretical results were compared with the ABAQUS XFEM calculations. Beyond conventional 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 algorithm, 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 finite element software to conduct more refined crack calculations with the 2nd-order elements.
- specified stress methods,
- finite element,
- concrete cracking,
- 3D numerical simulation

(Contributed by YI Zhijian, M.AMM Editorial Board)

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References(39)

References

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