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Showing 1 to 5 of 5 for “"Heaviside function"”.
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Discontinuous modelling of strain localisation and failure
… approach developed involves the addition of the Heaviside function to the underlying finite element interpolation basis. This method is based on the partition of unity concept, and allows the Heaviside function to be added locally to a finite element mesh to simulate a propagating displacement …
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A novel discrete damage zone model and enhancement of the extended finite element method for fracture mechanics problems
… mechanics: (I) A new crack tip enrichment function in the extended finite element method (XFEM), and (II) a discrete damage zone model for quasi-static and fatigue delamination in composites. The first method improves XFEM when applied to general nonlinear materials when crack tip …
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A sharp interface isogeometric strategy for moving boundary problems
… cracks. The crack face is enriched with the Heaviside function which captures the displacement discontinuity. Meanwhile, the crack tips are enriched with asymptotic displacement functions to reproduce the tip singularity. The enriching degrees of freedom associated with the crack tips are …
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Adjoint-based optimization for hyperbolic balance laws in the presence of discontinuities
… problem when the interface is represented by a Heaviside marker function. We will study the two main discontinuous wave patterns that appear in hyperbolic balance laws: contact discontinuities and shocks. These two have very different characteristics in the forward problem and we will see that …
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A study of a piezoelectric energy harvesting system using magnetorheological fluids
This thesis reports the study of a piezoelectric energy harvesting system using a thin layer of magnetorheological fluid as a soft impact mechanism to enhance the frequency of the energy generator. Currently, the major bottleneck of vibration energy harvesting is the dynamic nature of vibrations in …