Adaptive IGA and applications to nonlocal gradient enhanced damage modelling

Basappa, Umesh (2016) Adaptive IGA and applications to nonlocal gradient enhanced damage modelling. PhD thesis, Indian Institute of Technology, Hyderabad.

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Abstract

The inelastic behavior of materials are related to the irreversible mechanisms that occur at various length scales. These include: nucleation of micro-defects and coalescence of micro-defects into macro-cracks. The experimental observations also have shown the existence of strain localization in various materials. Further, the localization phenomena induces a non-homogeneous deformation resulting in a softening response of the material. Moreover, with the advancements in the technology there is an increasing interest in the mechanical behavior of meso-, micro- and nano-scale materials for example MEMS, NEMS and nano-composite. The experimental observations on these materials revealed that a substantial increase in the strength is achieved by decreasing the size. In other words, the materials exhibits size effect.

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