TY - JOUR
T1 - Finite elements for modeling frequency-dependent material damping using internal state variables
AU - Lesieutre, George A.
PY - 1992
Y1 - 1992
N2 - New developments in a method of modeling frequency-dependent material damping and modulus in structural dynamics analysis are reported. The fundamental feature of the general method is the introduction of augmenting thermodynamic fields (ATF) to interact with the mechanical displacement field of continuum mechanics. These ATF are directly motivated by the ``internal state variables'' of materials science. The coupled partial differential equations that govern the dynamic behavior of a uniaxial rod are numerically solved within the computational framework of the finite element method, resulting in ``ATF-damped'' finite elements. Previous work in the development of this modeling technique is characterized by the use of a single augmenting field, with application to lightly-damped rods, beams, and truss structures. New developments include: (1) demonstration of the ability to model the behavior of high-damping materials; and (2) the use of multiple augmenting fields to model materials whose behavior departs significantly from that of standard anelastic solids.
AB - New developments in a method of modeling frequency-dependent material damping and modulus in structural dynamics analysis are reported. The fundamental feature of the general method is the introduction of augmenting thermodynamic fields (ATF) to interact with the mechanical displacement field of continuum mechanics. These ATF are directly motivated by the ``internal state variables'' of materials science. The coupled partial differential equations that govern the dynamic behavior of a uniaxial rod are numerically solved within the computational framework of the finite element method, resulting in ``ATF-damped'' finite elements. Previous work in the development of this modeling technique is characterized by the use of a single augmenting field, with application to lightly-damped rods, beams, and truss structures. New developments include: (1) demonstration of the ability to model the behavior of high-damping materials; and (2) the use of multiple augmenting fields to model materials whose behavior departs significantly from that of standard anelastic solids.
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M3 - Article
AN - SCOPUS:0027072440
SN - 1040-3094
SP - 344
EP - 357
JO - ASTM Special Technical Publication
JF - ASTM Special Technical Publication
IS - 1169
ER -