TY - JOUR
T1 - Influence of the Radial Inertia Effect on the Propagation Law of Stress Waves in Thin-Walled Tubes
AU - Cui , Shitang
AU - Zhang , Yongliang
JO - Advances in Applied Mathematics and Mechanics
VL - 5
SP - 1216
EP - 1232
PY - 2023
DA - 2023/06
SN - 15
DO - http://doi.org/10.4208/aamm.OA-2022-0247
UR - https://global-sci.org/intro/article_detail/aamm/21774.html
KW - Radial inertia effect, thin-walled tube, stress waves, finite difference method, characteristic theory.
AB - <p style="text-align: justify;">This investigation focused on the influence of the radial inertia effect on the
propagation behavior of stress waves in thin-walled tubes subjected to combined longitudinal and torsional impact loads. Generalized characteristics theory was used to
analyze the main features of the characteristic wave speeds and simple wave solutions
in thin-walled tubes. The incremental elastic-plastic constitutive relations described
by the rate-independent plasticity were adopted, and the finite difference method
was used to investigate the evolution and propagation behaviors of combined elastic-plastic stress waves in thin-walled tubes when the radial inertial effect was considered.
The numerical results were compared with those obtained when the radial inertia effect was not considered. The results showed that the speed of the coupled stress wave
increased when the radial inertia effect was considered. The hardening modulus of the
material in the plastic stage had a greater impact on the coupled slow waves than on
the coupled fast waves.</p>