On the initiation of boudinage and folding instabilities in layered elasto-visco-plastic solids - Insights from natural microstructures and numerical simulations

The present understanding of the initiation of boudinage and folding structures is based on viscosity contrasts and stress exponents, considering an intrinsically unstable state of the layer. The criterion of localization is believed to be prescribed by geometry-material interactions, which are often encountered in natural structures. An alternative localization phenomenon has been established for ductile materials, in which instability emerges for critical material parameters and loading rates from homogeneous conditions. In this thesis, conditions are sought under which this type of instability prevails and whether localization in geological materials necessarily requires a trigger by geometric imperfections. The relevance of critical deformation conditions, material parameters and the spatial configuration of instabilities are discussed in a geological context. In order to analyze boudinage geometries, a numerical eigenmode analysis is introduced. This method allows determining natural frequencies and wavelengths of a structure and inducing perturbations on these frequencies. In the subsequent coupled thermo-mechanical simulations, using a grain size evolution and end-member flow laws, localization emerges when material softening through grain size sensitive viscous creep sets in. Pinch-and-swell structures evolve along slip lines through a positive feedback between the matrix response and material bifurcations inside the layer, independent from the mesh-discretization length scale. Since boudinage and folding are considered to express the same general instability, both structures should arise independently of the sign of the loading conditions and for identical material parameters. To this end, the link between material to energy instabilities is approached by means of bifurcation analyses of the field equations and finite element simulations of the coupled system of equations. Boudinage and folding structures develop at the same critical energy threshold, where dissipative work by temperature-sensitive creep overcomes the diffusive capacity of the layer. This finding provides basis for a unified theory for strain localization in layered ductile materials. The numerical simulations are compared to natural pinch-and-swell microstructures, tracing the adaption of grain sizes, textures and creep mechanisms in calcite veins. The switch from dislocation to diffusion creep relates to strain-rate weakening, which is induced by dissipated heat from grain size reduction, and marks the onset of continuous necking. The time-dependent sequence uncovers multiple steady states at different time intervals. Microstructurally and mechanically stable conditions are finally expressed in the pinch-and-swell end members. The major outcome of this study is that boudinage and folding can be described as the same coupled energy-mechanical bifurcation, or as one critical energy attractor. This finding allows the derivation of critical deformation conditions and fundamental material parameters directly from localized structures in the field.

Particel size distribution and microstructures of sediments from ODP Leg 205 sites (Table 1)

Ocean Drilling Program Legs 170 and 205 offshore Costa Rica provide structural observations which support a new model for the geometry and deformation response to the seismic cycle of the frontal sedimentary prism and decollement. The model is based on drillcore, thin section, and electron microscope observations. The decollement damage zone is a few tens of meters in width, it develops mainly within the frontal prism. A clear cm-thick fault core is observed 1.6 km from the trench. The lower boundary of the fault core is coincident with the lithological boundary between the frontal prism and the hemipelagic and pelagic sediment of the Cocos plate. Breccia clast distributions in the upper portion of the decollement damage zone were studied through fractal analysis. This analysis shows that the fractal dimension changes with brecciated fragment size, implying that deformation was not accommodated by self-similar fracturing. A higher fractal dimensionality correlates with smaller particle size, which indicates that different or additional grain-size reduction processes operated during shearing. The co-existence of two distinct fracturing processes is also confirmed by microscopic analysis in which extension fracturing in the upper part of the damage zone farthest from the fault core is frequent, while both extension and shear fracturing occur approaching the fault core. The coexistence of extensional and shear fracturing seems to be best explained by fluid pressure variations in response to variations of the compressional regime during the seismic cycle. During the co-seismic event, sub-horizontal compression and fluid pressure increase, triggering shear fracturing and fluid expulsion. Fractures migrate upward with fluids, contributing to the asymmetric shape of the decollement, while slip propagates. In the inter-seismic interval the frontal prismrelaxes and fluid pressure drops. The frontal prismgoes into diffuse extension during the intervalwhen plate convergence is accommodated by creep along the ductile fault core. The fault core is typically a barrier to deformation, which is explained by its weak, but impermeable, nature. The localized development of a damage zone beneath the fault core is characterized by shear fracturing that appears as the result of local strengthening of the detachment.

Sediment microstructures of ODP Leg 105 holes

Possible genetic relationships between syn- and post-depositional processes and sediment microstructure were investigated. Samples from cores at Sites 646 and 647 of Ocean Drilling Program (ODP) Leg 105 included examples of bottom current deposition (contourites), turbidity current deposition, consolidation, and diagenesis. Examination of nearly 200 micrographs of 14 samples from Site 646 and 13 samples from Site 647 leads to the conclusion that sedimentation processes do not appear to have an obvious influence on fabric. The effects of post-depositional processes, such as bioturbation, coring disturbance, and even remolding, appear to be less significant than one might expect as a result of the relatively coarse grain size of the sediments studied. Consolidation resulting from increased overburden stress results in increased particle alignment and compression of fabric elements with depth. The transition from open, random fabric in shallow samples to preferred orientation at depth represents the only change in these sediments that can be ascribed directly to a specific depositional or post-depositional process. Mineralogical variations, owing to changes in weathering processes and growth of authigenic/diagenetic minerals, also have a pronounced effect on sediment fabric.

An evaluation of existing motor vehicle diagnostic inspection concepts. Volume III: characteristics of periodic vehicle inspection programs. (Results of Task 2). Final Task 2 report.

National Highway Traffic Safety Administration, Washington, D.C.

Impact of discontinuing Idaho's periodic motor vehicle inspection program (a before and after outage rate study).

Mode of access: Internet.

Periodic motor vehicle inspection; a bibliography.

Mode of access: Internet.

An introduction to the theory of multiply periodic functions /

Spine title: Multiply periodic functions.

Analysis and design of the log-periodic dipole antenna.

At head of title: Antenna Laboratory.

On the identification of multi-output linear time-invariant and periodic dynamic systems /

Includes bibliographies (p. 27-29).

Logarithmically periodic resonant-v arrays /

"Contract AF33(616)-6079 Project No. 9-(13-6278) Task 40572. Sponsored by: Wright Air Development Center"

Scheduling periodic-time-critical jobs on single processor and multiprocessor computing systems /

Vita.

Non-planar logarithmically periodic antenna structures /

"Contract AF33(616)-3220 Project No. 6(7-4600) Task 40572 Wright Air Development"

Log periodic dipole arrays /

"Contract No. AF33(616)-6079 Project No. 9-(13-6278) Task 40572. Sponsored by: Wright Air Development Center"

Statistical properties of fast Fourier transform coefficients computed from real-valued, covariance-stationary, periodic random sequences /

"July 1976."

Periodic inspection of jetties at Manasquan Inlet, New Jersey : armor unit monitoring for period 1994-1998 /

Includes bibliographical references: (p. 60).