Periodic Surfaces That are Extremal for Energy Functionals Containing Curvature Functions

1993 ◽  
pp. 69-98 ◽  
Author(s):  
Johannes C. C. Nitsche
Keyword(s):  
Energy Functionals ◽  
Periodic Surfaces

Design of High-Performance Antenna Systems with Quasi-Periodic Surfaces

2018 ◽  
Author(s):  
Min Zhou ◽  
E. Jørgensen ◽  
N. Vesterdal ◽  
O. Borries ◽  
S.B. Sørensen ◽  
...  
Keyword(s):  
High Performance ◽  
Periodic Surfaces ◽  
Antenna Systems

Dynamics and Trackability of Stylus Systems

1996 ◽  
Vol 210 (2) ◽  
pp. 159-165 ◽  
Author(s):  
D J Whitehouse ◽  
W L Wang
Keyword(s):  
Measuring Instruments ◽  
Complex Surfaces ◽  
Optimum Parameters ◽  
Periodic Surfaces

Surface measuring instruments have been used for fifty years and their applications have been widespread. However, new demands are being made such as increased speed of measurement and also the capability of measuring more complex surfaces. This paper examines ways in which the design of the pick-up element can be optimized. It also deals in detail with the optimum parameters needed to measure a wide variety of random as well as periodic surfaces.

Development of Modelling Methods for Materials to be Used as Bone Substitutes

2007 ◽  
Vol 361-363 ◽  
pp. 903-906 ◽  
Author(s):  
R. Gabbrielli ◽  
I.G. Turner ◽  
Chris R. Bowen
Keyword(s):  
Mechanical Strength ◽  
Volume Fraction ◽  
Bone Substitutes ◽  
Gradient Material ◽  
Periodic Surfaces ◽  
Triply Periodic ◽  
Functional Gradient Material ◽  
Spatial Periodicity ◽  
Bearing Materials ◽  
Modelling Methods

The demand in the medical industry for load bearing materials is ever increasing. The techniques currently used for the manufacture of such materials are not optimized in terms of porosity and mechanical strength. This study adopts a microstructural shape design approach to the production of open porous materials, which utilizes spatial periodicity as a simple way to generate the models. A set of triply periodic surfaces expressed via trigonometric functions in the implicit form are presented. A geometric description of the topology of the microstructure is necessary when macroscopic properties such as mechanical strength, stiffness and isotropy are required to be optimised for a given value of volume fraction. A distinction between the families of structures produced is made on the basis of topology. The models generated have been used successfully to manufacture both a range of structures with different volume fractions of pores and samples of functional gradient material using rapid prototyping.

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