Orthogonal second‐order space‐filling designs with insights from simulation experiments to support test planning

2018 ◽  
Vol 35 (3) ◽  
pp. 854-867 ◽  
Author(s):  
Paul J. Sanchez ◽  
Susan M. Sanchez
Keyword(s):  
Second Order ◽  
Space Filling ◽  
Simulation Experiments ◽  
Test Planning

scholarly journals Multispeed Lattice Boltzmann Model with Space-Filling Lattice for Transcritical Shallow Water Flows

2017 ◽  
Vol 2017 ◽  
pp. 1-5 ◽  
Author(s):  
Y. Peng ◽  
J. P. Meng ◽  
J. M. Zhang
Keyword(s):  
Shallow Water ◽  
Lattice Boltzmann ◽  
Lattice Models ◽  
Second Order ◽  
Lattice Boltzmann Model ◽  
Space Filling ◽  
Order Accuracy ◽  
Water Flows ◽  
Recent Success ◽  
Shallow Water Flows

Inspired by the recent success of applying multispeed lattice Boltzmann models with a non-space-filling lattice for simulating transcritical shallow water flows, the capabilities of their space-filling counterpart are investigated in this work. Firstly, two lattice models with five integer discrete velocities are derived by using the method of matching hydrodynamics moments and then tested with two typical 1D problems including the dam-break flow over flat bed and the steady flow over bump. In simulations, the derived space-filling multispeed models, together with the stream-collision scheme, demonstrate better capability in simulating flows with finite Froude number. However, the performance is worse than the non-space-filling model solved by finite difference scheme. The stream-collision scheme with second-order accuracy may be the reason since a numerical scheme with second-order accuracy is prone to numerical oscillations at discontinuities, which is worthwhile for further study.

scholarly journals Mechanical Properties of PolyJet 3D-Printed Composites Inspired by Space-Filling Peano Curves

Polymers ◽  
2021 ◽  
Vol 13 (20) ◽  
pp. 3516
Author(s):  
Changlang Wu ◽  
Truong Tho Do ◽  
Phuong Tran
Keyword(s):  
Mechanical Properties ◽  
Tensile Strength ◽  
Volume Fraction ◽  
General Rule ◽  
Second Order ◽  
Compression Tests ◽  
Space Filling ◽  
First Order ◽  
Loading Direction ◽  
3D Printed

This paper proposes a design of novel composite materials inspired by the Peano curve and manufactured using PolyJet 3D printing technology with Agilus30 (flexible phase) and VeroMagentaV (rigid phase) materials. Mechanical properties were evaluated through tensile and compression tests. The general rule of mixture (ROM) for composites was employed to approximate the tensile properties of the hybrid materials and compare them to the experimental results. The effect of reinforcement alignments and different hierarchies are discussed. The results indicated that the 5% inclusion of the Peano reinforcement in tensile samples contributed to the improvement in the elastic modulus by up to 6 MPa, but provided no obvious enhancement in ultimate tensile strength. Additionally, compressive strengths between 2 MPa and 6 MPa were observed for compression cubes with first-order reinforcement, while lower values around 2 MPa were found for samples with second-order reinforcement. That is to say, the first-order reinforcement has been demonstrated more effectively than the second-order reinforcement, given the same reinforcement volume fraction of 10% in compression cubes. Different second-order designs exhibited slightly different mechanical properties based on the ratio of reinforcement parallel to the loading direction.

Disappearance Voltage Determinations Using a Convergent Beam

1971 ◽  
Vol 29 ◽  
pp. 184-185
Author(s):  
W. L. Bell
Keyword(s):  
Second Order ◽  
Objective Method ◽  
Uniform Thickness ◽  
Rocking Curve ◽  
Crystal Perfection ◽  
Kikuchi Line ◽  
Central Maximum ◽  
Diffraction Patterns ◽  
Convergent Beam ◽  
Beam Technique

Disappearance voltages for second order reflections can be determined experimentally in a variety of ways. The more subjective methods, such as Kikuchi line disappearance and bend contour imaging, involve comparing a series of diffraction patterns or micrographs taken at intervals throughout the disappearance range and selecting that voltage which gives the strongest disappearance effect. The estimated accuracies of these methods are both to within 10 kV, or about 2-4%, of the true disappearance voltage, which is quite sufficient for using these voltages in further calculations. However, it is the necessity of determining this information by comparisons of exposed plates rather than while operating the microscope that detracts from the immediate usefulness of these methods if there is reason to perform experiments at an unknown disappearance voltage.The convergent beam technique for determining the disappearance voltage has been found to be a highly objective method when it is applicable, i.e. when reasonable crystal perfection exists and an area of uniform thickness can be found. The criterion for determining this voltage is that the central maximum disappear from the rocking curve for the second order spot.

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