论文标题
馈送前向神经网络发动机的物理信息组装,以预测交联聚合物中的非弹性
A Physics-informed Assembly of Feed-Forward Neural Network Engines to Predict Inelasticity in Cross-Linked Polymers
论文作者
论文摘要
在固体力学中,数据驱动的方法被广泛认为是可以克服构成模型的经典问题,例如限制假设,复杂性和对训练数据的高度依赖性。但是,由于数据空间的高度尺寸,丢失的数据的显着尺寸和有限的收敛性,因此在材料建模中实施了机器学习方法。这项工作提出了一个框架,以从聚合物科学,统计物理学和连续机械师中聘请概念,以提供减少订单的超受限机学习技术,以克服许多现有的困难。使用顺序减少订购,我们将3D应力 - 应变张量映射问题简化为有限数量的超限制的1D映射问题。接下来,我们介绍了多个复制神经网络代理的组装,以系统地将这些映射问题分类为几类,所有这些问题都是几种不同的代理类型的复制。通过通过简化的分散实验数据捕获所有加载模式,提议的混合材料提供了新一代的机器学习方法,这些方法简单地在训练数据量,训练速度和准确性中甚至在复杂的负载方案中都优于大多数本构法律。此外,它避免了常规基于AI的模型的低解释性。
In solid mechanics, Data-driven approaches are widely considered as the new paradigm that can overcome the classic problems of constitutive models such as limiting hypothesis, complexity, and high dependence on training data. However, implementation of machine-learned approaches in material modeling has been modest due to the high-dimensionality of the data space, significant size of missing data, and limited convergence. This work proposes a framework to hire concepts from polymer science, statistical physics, and continuum mechanics to provide super-constrained machine-learning techniques of reduced-order to overcome many of the existing difficulties. Using a sequential order-reduction, we have simplified the 3D stress-strain tensor mapping problem into a limited number of super-constrained 1D mapping problems. Next, we introduce an assembly of multiple replicated Neural Network agents to systematically classify those mapping problems into a few categories, all of which are replications of a few distinct agent types. By capturing all loading modes through a simplified set of disperse experimental data, the proposed hybrid assembly of agents provides a new generation of machine learned approaches that simply outperforms most constitutive laws in training data volume, training speed, and accuracy even in complicated loading scenarios. Also, it avoids low interpretability of conventional AI-based models.