This description relates to the full year version of the module. Only the topics and content that is taught in Term 1 will be covered in this module.

Overview:

This module develops further understanding of the static behaviour of elastic bodies as well as the new area of plasticity.

Students are introduced to fundamental aspects of the theory of elasticity and how the results can be related to engineering applications. This includes classical problems relating to plane stress and strain, end loading problems relating to both torsion and shear, and an introduction to the theory and applications of Finite Element Analysis. Although the emphasis is on theory, real-world applications are used as motivating and practice examples. Where practical, these examples are linked to current or recent research within the department.

The second half of the module covers plasticity theory, extending elastic stress-strain relationships to explore plastic effects and yield criteria. Problems relating to rigid perfectly plastic and elastoplastic materials are explored and often compared with experimental or numerical results. Limit analysis is introduced both from the perspective of theory and design of components and structures.

Topics covered:

Theory of Elasticity
	Torsion
	Introduction to the Finite Element Method
	Constitutive Relationships and Yield Criteria
	Limit Analysis
Learning outcomes:

Upon completion of this module students will be able to:

Demonstrate knowledge and understanding of the essential facts, concepts, theories and principles underlying elasticity and plasticity theory, and how the two fields are underpinned by mathematics and physics.
	Have an appreciation of the wider multidisciplinary context of the underlying theory, including applications of both elasticity and plasticity to engineering design such as design against failure due to stress concentrators and design against plastic collapse in structures.
	Apply appropriate quantitative science, engineering and mathematical tools to the analysis of problems arising in elastic and plastic material behaviour, with emphasis on the application of the Finite Element Method.
	Demonstrate creative and innovative ability in the synthesis of theoretical solutions, and linking them to the design of real-world structures.
	Comprehend the broad picture of the application of elasticity and plasticity theory, and use this to inform an appropriate level of detail in the theoretical descriptions.
	Develop transferable skills including problem solving, communication and effective sourcing of background resources and materials required for self-learning.