Discontinuous deformation analysis

MODELLING GROUNDWATER PRESSURE AND THERMAL LOADING IN THREE-DIMENSIONAL DISCONTINUOUS DEFORMATION ANALYSIS... 

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Figure 1 shows a representative force deformation characteristic as obtained from the measurements of a capsule made from PAH/PSS in water. The dried thickness of the capsule was 25 nm and the radius 7.9 microns. For deformations on the order of 1-3 times the shell wall thickness, a linear force deformation characteristic is found. For higher deformations discontinuities in the force deformation characteristic are observed, which are separating quasi-linear sections. The position of these discontinuities as well as their shapes scattered a lot between different shells and the shells showed plasticity in this deformation regime. We avoided this regime in the measurements and obtained the results exclusively from a detailed analysis of the linear regime. Based on classical thin shell theory [20], one would expect a linear force deformation characteristic for deformations up to a few times the wall thickness (fit indicated as dotted line). The onset of buckling should lead to a deviation from the linear dependency, like dis-... 

Based on the assumption that the deformation governs the fracture and realising an analysis of the deformations to fracture of the two components, the matrix and fibre, three distinct cases are found. Figure 3.452. The most frequent case corresponds to the situation when the matrix fracture deformation is lower that than of fibre in this case, a multiple fracture of matrix occurs before of the sudden fibres fracture. The stress-strain curve presents a discontinuity, at the deformation level, in the moment of matrix failure. Figure 3.452a. The final fracture takes place at / > / ... 

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