Piezoresistivity in Mechanical APDLimechanica.org/files/Piezoresistivity in Mechanical APDL.pdf=...

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Page 1: Piezoresistivity in Mechanical APDLimechanica.org/files/Piezoresistivity in Mechanical APDL.pdf= piezoresistive strain matrix, as supplied in Mechanical ANSYS PDL; X Y Z XY YZ XZ X

Piezoresistivity in Mechanical APDL

In piezoresistive materials, stress or strain cause a change of electric resistivity:

(1)

where:

= electric resistivity of a loaded material =

ZZ

YZYY

XZXYXX

symm

= electric resistivity of an unloaded material

=

=identity matrix =

=relative change in resistivity =

rrrrrr

Z

YZY

XZXYX

sym

calculated as

(2)

where

=vector matrix components = T;

= piezoresistive strain matrix, as supplied in Mechanical ANSYS PDL;

X Y Z XY YZ XZ X Y Z XY YZ XZ

Page 2: Piezoresistivity in Mechanical APDLimechanica.org/files/Piezoresistivity in Mechanical APDL.pdf= piezoresistive strain matrix, as supplied in Mechanical ANSYS PDL; X Y Z XY YZ XZ X

{εel} = the elastic strain vector.