@article{D. K. Sharma_Himani Mittal_Sita Ram Sharma_Inder Parkash_2017, title={Effect of Deformation on Semi–infinite Viscothermoelastic Cylinder Based on Five Theories of Generalized Thermoelasticity}, volume={6}, url={https://mjis.chitkara.edu.in/index.php/mjis/article/view/25}, DOI={10.15415/mjis.2017.61003}, abstractNote={<p><span style="left: 189.33px; top: 536.723px; font-size: 18.3333px; font-family: serif; transform: scaleX(1.06175);">We </span><span style="left: 235.203px; top: 536.723px; font-size: 18.3333px; font-family: serif; transform: scaleX(1.00021);">consider</span><span style="left: 317.74333333333334px; top: 536.7233333333334px; font-size: 18.333333333333332px; font-family: serif;">a </span><span style="left: 346.31px; top: 536.723px; font-size: 18.3333px; font-family: serif; transform: scaleX(1.00013);">dynamical </span><span style="left: 443.113px; top: 536.723px; font-size: 18.3333px; font-family: serif; transform: scaleX(1.00008);">problem </span><span style="left: 524.645px; top: 536.723px; font-size: 18.3333px; font-family: serif; transform: scaleX(1.00047);">for </span><span style="left: 566.45px; top: 536.723px; font-size: 18.3333px; font-family: serif; transform: scaleX(1.00002);">semi-infinite </span><span style="left: 90px; top: 557.755px; font-size: 18.3333px; font-family: serif; transform: scaleX(1.01698);">viscothermoelastic semi infinite cylinder loaded mechanically and thermally </span><span style="left: 90px; top: 579.373px; font-size: 18.3333px; font-family: serif; transform: scaleX(0.962579);">and investigated the behaviour of variations of displacements, temperatures </span><span style="left: 90px; top: 600.992px; font-size: 18.3333px; font-family: serif; transform: scaleX(1.00435);">and stresses. The problem has been investigated with the help of five theories </span><span style="left: 90px; top: 622.61px; font-size: 18.3333px; font-family: serif; transform: scaleX(1.03094);">of the generalized viscothermoelasticity by using the Kelvin – Voigt model. </span><span style="left: 90px; top: 644.228px; font-size: 18.3333px; font-family: serif; transform: scaleX(1.01);">Laplace transformations and Hankel transformations are applied to equations </span><span style="left: 90px; top: 665.847px; font-size: 18.3333px; font-family: serif; transform: scaleX(0.96142);">of constituent relations, equations of motion and heat conduction to obtain </span><span style="left: 90px; top: 687.465px; font-size: 18.3333px; font-family: serif; transform: scaleX(0.977352);">exact </span><span style="left: 136.75px; top: 687.465px; font-size: 18.3333px; font-family: serif; transform: scaleX(0.983853);">equations in transformed domain. Hankel transformed equations are </span><span style="left: 90px; top: 709.083px; font-size: 18.3333px; font-family: serif; transform: scaleX(1.00186);">inverted analytically and for the inversion of Laplace transformation we </span><span style="left: 90px; top: 730.702px; font-size: 18.3333px; font-family: serif; transform: scaleX(1.03656);">apply numerical technique to obtain field functions. In order to obtain field </span><span style="left: 90px; top: 752.32px; font-size: 18.3333px; font-family: serif; transform: scaleX(0.958877);">functions i.e. displacements, temperature and stresses numerically we apply </span><span style="left: 90px; top: 773.938px; font-size: 18.3333px; font-family: serif; transform: scaleX(0.957622);">MATLAB software tools. Numerically analyzed results for the temperature, </span><span style="left: 90px; top: 795.557px; font-size: 18.3333px; font-family: serif; transform: scaleX(1.0034);">displacements and stresses are shown graphically.</span></p>}, number={1}, journal={Mathematical Journal of Interdisciplinary Sciences}, author={D. K. Sharma and Himani Mittal and Sita Ram Sharma and Inder Parkash}, year={2017}, month={Sep.}, pages={17–35} }