On the conformal modulus in classes of doubly connected domains, not containing given systems of points

1974 ◽  
Vol 2 (6) ◽  
pp. 618-667 ◽  
Author(s):  
G. V. Kuz'mina
Keyword(s):  
Conformal Modulus

scholarly journals Computational models for the determination of depth-dependent mechanical properties of skin with a soft, flexible measurement device

2016 ◽  
Vol 472 (2194) ◽  
pp. 20160225 ◽  
Author(s):  
Jianghong Yuan ◽  
Canan Dagdeviren ◽  
Yan Shi ◽  
Yinji Ma ◽  
Xue Feng ◽  
...  
Keyword(s):  
Human Skin ◽  
Output Voltage ◽  
Computational Models ◽  
Geometrical Parameters ◽  
Non Invasive ◽  
Conformal Modulus ◽  
Flexible Measurement

Conformal modulus sensors (CMS) incorporate PZT nanoribbons as mechanical actuators and sensors to achieve reversible conformal contact with the human skin for non-invasive, in vivo measurements of skin modulus. An analytic model presented in this paper yields expressions that connect the sensor output voltage to the Young moduli of the epidermis and dermis, the thickness of the epidermis, as well as the material and geometrical parameters of the CMS device itself and its encapsulation layer. Results from the model agree well with in vitro experiments on bilayer structures of poly(dimethylsiloxane). These results provide a means to determine the skin moduli (epidermis and dermis) and the thickness of the epidermis from in vivo measurements of human skin.

scholarly journals Conformal modulus and planar domains with strong singularities and cusps

2019 ◽  
Vol 48 ◽  
pp. 462-478 ◽  
Author(s):  
Harri Hakula ◽  
Antti Rasila ◽  
Matti Vuorinen
Keyword(s):  
Planar Domains ◽  
Conformal Modulus
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