Thesis

### Strain-limiting viscoelasticity

Abstract:

This thesis is concerned with PDEs that have a strain-limiting constitutive relation, originating in the framework of continuum mechanics and implicit constitutive the- ory. The work presented here is broadly split into two halves. In the first half, we consider the balance of linear momentum

u_{tt} = div(T) + f in (0,T)×Ω=:Q, (1)

where Ω ⊂ R^d is a domain under the action of some external body force f and u : Q → R^d denotes the displacement with Cauchy stress tensor T : Q...

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Division:
MPLS
Department:
Mathematical Institute
Role:
Author

#### Contributors

Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
Deposit date:
2022-09-01