Constitutive Behaviour of Brittle Layered Rocks Using a 3D Anisotropic Hoek and Brown Model

2010 ◽

Vol 368 (1910) ◽

pp. 53-93 ◽

Cited By ~ 15

Author(s):

Bruce E. Hobbs ◽

Alison Ord

Keyword(s):

Entropy Production ◽

Maximum Entropy ◽

Melt Inclusions ◽

Selection Process ◽

Finite Thickness ◽

Control Valve ◽

Entropy Production Rate ◽

Constitutive Behaviour ◽

Maximum Entropy Production ◽

Physical Height

A model for the formation of granitoid systems is developed involving melt production spatially below a rising isotherm that defines melt initiation. Production of the melt volumes necessary to form granitoid complexes within 10 4 –10 7 years demands control of the isotherm velocity by melt advection. This velocity is one control on the melt flux generated spatially just above the melt isotherm, which is the control valve for the behaviour of the complete granitoid system. Melt transport occurs in conduits initiated as sheets or tubes comprising melt inclusions arising from Gurson–Tvergaard constitutive behaviour. Such conduits appear as leucosomes parallel to lineations and foliations, and ductile and brittle dykes. The melt flux generated at the melt isotherm controls the position of the melt solidus isotherm and hence the physical height of the Transport/Emplacement Zone. A conduit width-selection process, driven by changes in melt viscosity and constitutive behaviour, operates within the Transport Zone to progressively increase the width of apertures upwards. Melt can also be driven horizontally by gradients in topography; these horizontal fluxes can be similar in magnitude to vertical fluxes. Fluxes induced by deformation can compete with both buoyancy and topographic-driven flow over all length scales and results locally in transient ‘ponds’ of melt. Pluton emplacement is controlled by the transition in constitutive behaviour of the melt/magma from elastic–viscous at high temperatures to elastic–plastic–viscous approaching the melt solidus enabling finite thickness plutons to develop. The system involves coupled feedback processes that grow at the expense of heat supplied to the system and compete with melt advection. The result is that limits are placed on the size and time scale of the system. Optimal characteristics of the system coincide with a state of maximum entropy production rate.

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Micro-Mechanical Modelling of the Constitutive Behaviour of NiTi Shape Memory Alloys

PAMM ◽

10.1002/pamm.200410117 ◽

2004 ◽

Vol 4 (1) ◽

pp. 272-273 ◽

Cited By ~ 1

Author(s):

Wenge Zhang ◽

Klaus Hackl ◽

Ulrich Hoppe

Keyword(s):

Shape Memory Alloys ◽

Shape Memory ◽

Constitutive Behaviour ◽

Mechanical Modelling ◽

Niti Shape Memory Alloys

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Impact of random soil properties on stressstrain response

Canadian Geotechnical Journal ◽

10.1139/t03-083 ◽

2004 ◽

Vol 41 (2) ◽

pp. 351-355 ◽

Cited By ~ 3

Author(s):

Dieter Stolle ◽

Peijun Guo ◽

Gabriel Sedran

Keyword(s):

Soil Properties ◽

Constitutive Modelling ◽

Soil Parameters ◽

Strain Response ◽

Constitutive Behaviour ◽

Stress Strain ◽

Deterministic Analysis ◽

Model Predictions ◽

Random Variability ◽

The Impact

This paper analyzes the impact of natural random variation of soil properties on the constitutive modelling of geomaterial behaviour. A theoretical framework for accommodating variation in soil properties is presented. The framework is then used to examine the consequence of parameter variability on stressstrain relations. An important observation is that average soil parameters from a series of tests on small specimens, in which density of the specimens varies randomly, do not necessarily reflect the average constitutive behaviour of soil. Model predictions are shown to be consistent with the experimental data.Key words: random variability, deterministic analysis, soil parameters, constitutive model.

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Characterisation of the tensile constitutive behaviour of fibre-reinforced concrete: A new configuration for the Wedge Splitting Test

Construction and Building Materials ◽

10.1016/j.conbuildmat.2018.10.101 ◽

2018 ◽

Vol 192 ◽

pp. 731-741 ◽

Cited By ~ 6

Author(s):

Luis Segura-Castillo ◽

Renata Monte ◽

Antonio D. de Figueiredo

Keyword(s):

Reinforced Concrete ◽

Fibre Reinforced Concrete ◽

Constitutive Behaviour ◽

Wedge Splitting Test ◽

Splitting Test ◽

Wedge Splitting

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The inflation of viscoelastic balloons and hollow viscera

Proceedings of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rspa.2018.0102 ◽

2018 ◽

Vol 474 (2218) ◽

pp. 20180102 ◽

Cited By ~ 8

Author(s):

Riccardo De Pascalis ◽

William J. Parnell ◽

I. David Abrahams ◽

Tom Shearer ◽

Donna M. Daly ◽

...

Keyword(s):

Peak Pressure ◽

Fundamental Problem ◽

Numerical Technique ◽

Constitutive Behaviour ◽

Viscoelastic Shell ◽

Nonlinear Volterra Integral Equation ◽

Nonlinear Viscoelastic ◽

Wide Range ◽

Nonlinear Elastic ◽

First Time

For the first time, the problem of the inflation of a nonlinear viscoelastic thick-walled spherical shell is considered. Specifically, the wall has quasilinear viscoelastic constitutive behaviour, which is of fundamental importance in a wide range of applications, particularly in the context of biological systems such as hollow viscera, including the lungs and bladder. Experiments are performed to demonstrate the efficacy of the model in fitting relaxation tests associated with the volumetric inflation of murine bladders . While the associated nonlinear elastic problem of inflation of a balloon has been studied extensively, there is a paucity of studies considering the equivalent nonlinear viscoelastic case. We show that, in contrast to the elastic scenario, the peak pressure associated with the inflation of a neo-Hookean balloon is not independent of the shear modulus of the medium. Moreover, a novel numerical technique is described in order to solve the nonlinear Volterra integral equation in space and time originating from the fundamental problem of inflation and deflation of a thick-walled nonlinear viscoelastic shell under imposed pressure.

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