This article develops a unipolar thermoelastic constitutive relation f
or twisted cord-reinforced elastomeric composites. Depending on the co
rd twist about the axial direction, the associated torsional moment an
d extensional forces may be strongly coupled. Such coupling leads to s
imultaneous extensional and torsional thermal expansion. The generalit
y of the scheme of formulation is such that large deformation/strain s
ituations can be handled. This is achieved through the use of second P
iola Klrchhoff stress and moment stress tensors and their associated k
inematic measures. Note that such pairings are cord, i.e., particle fo
llowing. In this context the provide for a consistent ongoing update o
f local and global configurational orientations.