Kx. Hu et al., ELECTRO-THERMO-MECHANICAL RESPONSES OF CONDUCTIVE ADHESIVE MATERIALS, IEEE transactions on components, packaging, and manufacturing technology. Part A, 20(4), 1997, pp. 470-477
Micromechanics models which aim to provide an understanding of conduct
ive adhesive materials from the level of micro-particles (less than 30
mm) are presented in this paper, The pressure-induced conducting mech
anisms are investigated, A deformation analysis reveals a logarithmic
pressure-resistance relationship and is capable of addressing the cond
ucting phenomena for both rigid and deformable particle systems within
a contact mechanics framework. This logarithmic relationship also pro
vides analytical support for findings reported in the literature of co
nductive adhesive research. It is observed that electrical contacts ar
e made by squashing conducting particles for a deformable particle sys
tem while the particle penetration creates a crater in metallization t
o make contacts for a rigid particle system, The current analysis prov
ides simple closed-form solutions for the elastic deformation of singl
e-particle contacts and based on the assumption that the contact force
s are evenly distributed in a conductive him, the pressure-resistance
responses are correlated to the particle volume fraction, The high vol
ume fraction, while ensuring that there are a sufficient number of par
ticles to make contacts, may limit the particle deformation due to ove
rall increased stiffness, resulting in the increased resistance on a p
er particle basis, The current analysis also offers insight into desig
n considerations whereby limited amount of deformation (low processing
temperature) and sufficiently low electrical resistance are to be sim
ultaneously satisfied, For the mechanical performance, the uniaxial no
nlinear stress-strain relationship is obtained for conductive adhesive
systems in terms of polymer and particle material properties, The Mor
i-Tanaka's method is utilized to account for particle-particle and par
ticle-matrix interactions, The behavior in thermal expansion within th
e elastoplastic deformation range is also obtained in a similar fashio
n, In all these calculations, only a very simplified finite element an
alysis for the problem of a particle embedded into an infinitely exten
ded matrix material needs to be carried out.