精确的动态行为的有限元模拟:构成模型和深度学习的分析
Yiwei Zhang1,2, Chengcheng Guo2, Yahui Huang2
1Hainan Institute, Wuhan University of Technology, Sanya 572000, China.
Materials (Basel, Switzerland)
|April 9, 2024
概括
高精度模拟分析金属的动态行为. ZA构成模型和深度学习显著提高了Hugoniot弹性极限应力预测的准确性.
科学领域:
- 材料科学 材料科学 材料科学
- 计算力学 计算力学 计算力学
- 应用物理 应用物理
背景情况:
- 实验捕捉动态金属行为是具有挑战性的.
- 高精度的数值模拟对于分析动态特征至关重要.
- 构造模型和深度学习可以提高模拟的准确性.
研究的目的:
- 在动态金属行为分析中提高计算精度.
- 评估不同构成模型对有限元 (FE) 模拟的影响.
- 采用深度学习 (DL) 来分析模拟结果.
主要方法:
- 利用有限元素 (FE) 模型来模拟金属的动态行为.
- 分析了各种构成模型对模拟准确性的影响.
- 采用深度学习 (DL) 模型进行结果分析和预测.
- 研究了准静态收益强度和弹性波传播之间的关系.
主要成果:
- FE模拟有效地捕获了金属的弹性-塑性反应.
- ZA构成模型显示了最高的准确性,在502 m/s的Hugoniot弹性极限 (HEL) 应力时,预测得到了26.0%的改进.
- 温度效应会影响弹性-塑性反应中的应力描述.
- 准静态收益率强度参数与弹性波传播速度相关.
- DL模型实现了对HEL应力的高预测精度 (R平方=0.998,MAE=0.0062).
结论:
- 在模拟金属动态反应方面,ZA模型的精度很高.
- 构成模型的选择会影响模拟的准确性,特别是在温度和产量强度方面.
- 深度学习为分析和预测HEL压力提供了强大的方法.
- 这项研究为在模拟中选择合适的构成模型提供了有价值的指导.
相关概念视频
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
53
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
53
Typical Model Studies
358
Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.
358
Modeling and Similitude
266
Scaled modeling is a fundamental technique in engineering, enabling the study of large and complex systems by creating smaller, manageable replicas that recreate critical characteristics of the original. In hydrology and civil infrastructure, for example, scaled models of dams help analyze water flow, turbulence, and pressure. This method allows for accurate predictions of real-world behavior within a controlled environment, significantly reducing the cost and time involved in full-scale...
266
Dynamic Modulus of Elasticity of Concrete
321
The dynamic modulus of elasticity assesses how a concrete structure deforms under impact or dynamic loads. It is typically higher than the static modulus of elasticity, measured under slow, steady loading conditions.
The sonic test is a common method to determine the dynamic modulus. In this test, a concrete beam, sized either 6 x 6 x 30 inches or 4 x 4 x 20 inches, is clamped at its center. Vibrations are initiated at one end of the beam by an electromagnetic exciter unit powered by...
The sonic test is a common method to determine the dynamic modulus. In this test, a concrete beam, sized either 6 x 6 x 30 inches or 4 x 4 x 20 inches, is clamped at its center. Vibrations are initiated at one end of the beam by an electromagnetic exciter unit powered by...
321


