Parallelised Algorithms for Computing Viscoelastic Deformation in 3D Non-linear Media

计算 3D 非线性介质中粘弹性变形的并行算法

• 批准号: EP/D03728X/1
• 负责人: Gregory Houseman
• 金额: $ 17.73万
• 依托单位: University of Leeds
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2006
• 资助国家: 英国
• 起止时间: 2006 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FD03728X%2F1
• 关键词: Parallelised; Algorithms; Computing; Viscoelastic; Deformation

When solid materials are stressed they deform, partly by reversible elastic deformation and partly by irreversible viscous creep if stressed for a long enough period of time. This behaviour is referred to as viscoelastic. We propose to develop computer modelling software that can represent the internal distribution of stress and strain as viscoelastic creep develops in a 3D solid with spatially varying properties and arbitrary forcing on the external surfaces. We will apply this method firstly to improve our understanding of how slip on a major fault system causes stress to develop and relax in the surrounding rock. By comparing such calculations with measurements from satellites we hope to improve the capability of monitoring earthquake hazards on large fault systems. Because such calculations are so demanding of computer time, we will develop methods that enable these calculations to be done efficiently on computer systems that use hundreds of processing elements in parallel and allow the calculations to be continued to large strains (of order 200%). We will also apply our finite deformation modelling software to problems in polymer processing, and demonstrate that it is potentially applicable to other manufacturing processes in which large strains are induced by externally applied stresses, e.g. in metals and glasses.

当固体材料受到应力时，它们变形，部分通过可逆的弹性变形，部分通过不可逆的粘性蠕变，如果应力持续足够长的时间。这种行为被称为粘弹性。我们建议开发的计算机建模软件，可以代表内部的应力和应变分布的粘弹性蠕变发展在一个三维固体空间变化的属性和任意强迫的外表面。我们将首先应用这种方法来提高我们对主要断层系统上的滑动如何导致围岩中的应力发展和松弛的理解。通过将这些计算结果与卫星测量结果进行比较，我们希望提高监测大断层系统地震灾害的能力。由于这样的计算是如此要求计算机时间，我们将开发的方法，使这些计算能够在计算机系统上，使用数百个并行处理元件，并允许计算继续到大应变（200%的顺序）有效地完成。我们还将我们的有限变形建模软件应用于聚合物加工中的问题，并证明它可能适用于其他制造过程，其中大应变是由外部施加的应力引起的，例如金属和玻璃。