Mathematical Sciences: Some Studies in Nondestructive Evaluation of Prestressed Media

主要的研究人员将研究如何将具有初应力的线弹性的一般理论用作无损评估应力的新技术的基础。特别是，他将研究某些边值问题的适定性，弹性理论在粘弹性介质中的扩展，瑞利波作为应力评估器的使用，以及某些波在肺实质无损评估中的使用。弹性和粘弹性介质中应力的无损评估是一个具有深远技术影响的重要研究领域。例如，肺实质的无损评估可以促进各种形式的肺部疾病的诊断和治疗。

The principal investigator will study how the general theory of linear elasticity with initial stress can be used as the basis for new techniques in the nondestructive evaluation of stress. In particular, he will study the well-posedness of certain boundary value problems, an extension of the elastic theory to visco-elastic media, the use of Rayleigh waves as stress-evaluators, and the use of certain waves in the nondestructive evaluation of lung parenchyma. The nondestructive evaluation of stress in elastic and visco-elastic media is an important area of research that has far-reaching technological ramifications. As an illustration, the nondestructive evaluation of lung parenchyma could lead to advances in the diagnosis and treatment of various forms of lung disease.