Affiliation:
1. Department of Mathematics , Kurukshetra University , Kurukshetra , Haryana , India
2. Department of Mathematics & Statistics , Himachal Pradesh University , Shimla , Himachal Pradesh , India
Abstract
Abstract
The present investigation is concerned with vibration phenomenon of a homogeneous, isotropic thermoelastic microbeam with double porosity (TDP) structure induced by pulsed laser heating, in the context of Lord– Shulman theory of thermoelasticity with one relaxation time. Laplace transform technique has been applied to obtain the expressions for lateral deflection, axial stress, axial displacement, volume fraction field, and temperature distribution. The resulting quantities are recovered in the physical domain by a numerical inversion technique. Variations of axial displacement, axial stress, lateral deflection, volume fraction field, and temperature distribution with axial distance are depicted graphically to show the effect of porosity and laser intensity parameter. Some particular cases are also deduced.
Reference25 articles.
1. Biot, M.A.: General theory of three-dimensional consolidation, Journal of Applied Physics, 12, 155-164, 1941.
2. Barenblatt, G.I ., Zheltov, I.P., Kochina, I.N.: Basic concept in the theory of seepage of homogeneous liquids in fissured rocks (strata), Journal of Applied Mathematics and Mechanics, 24, 1286-1303, 1960.10.1016/0021-8928(60)90107-6
3. Aifantis, E.C.: Introducing a multiporous medium, Developments in Mechanics, 8, 209-211, 1977.
4. Aifantis, E.C.: On the response of fissured rock, Developments in Mechanics, 10, 249-253, 1979.
5. Aifantis, E.C.: On the problem of diffusion in solids, Acta Mechanica, 37, 265-296, 1980.10.1007/BF01202949
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献