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

当固体材料受到应力时，如果受到足够长的时间的应力，它们会变形，部分是由于可逆的弹性变形，部分是由于不可逆的粘性蠕变。这种行为被称为粘弹性。我们建议开发计算机模拟软件，该软件可以表示粘弹性蠕变在三维实体中发展时的内部应力和应变分布，该三维实体具有空间变化的特性和外表面的任意受力。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。通过将这些计算与卫星测量结果进行比较，我们希望提高监测大型断层系统地震危险性的能力。因为这样的计算对计算机时间要求很高，我们将开发一些方法，使这些计算能够在使用数百个并行处理单元的计算机系统上高效地完成，并允许计算继续进行大负荷(200%量级)。我们还将把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，在这些过程中，由于外部施加的应力导致大应变，例如在金属和玻璃中。

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.