Generalized solutions of transient thermal shock problem with bounded boundaries

作者： | Y. Z. Wang, D. Liu, Q. Wang, J. Z. Zhou |

作者单位： |
^{1}Jiangsu University |

刊名： | Meccanica, 2017, Vol.52 (8), pp.1935-1945 |

来源数据库： | Springer Journal |

DOI： | 10.1007/s11012-016-0527-7 |

关键词： | Generalized thermoelasticity; Asymptotic solutions; Transient thermal shock; Bounded boundary conditions; Thin plate; |

英文摘要： | In this work, the generalized thermoelastic solutions with bounded boundaries for the transient shock problem are proposed by an asymptotic method. The governing equations are taken in the context of the generalized thermoelasticity with one relaxation time (L–S theory). The general solutions for any set of boundary conditions are obtained in the physical domain by the Laplace transform techniques. The corresponding asymptotic solutions for a thin plate with finite thickness, subjected to different sudden temperature rises in its two boundaries, are obtained by means of the limit theorem of Laplace transform. In the context of these asymptotic solutions, two specific problems with different boundary conditions have been conducted. The distributions of displacement, temperature and... |

原始语种摘要： | In this work, the generalized thermoelastic solutions with bounded boundaries for the transient shock problem are proposed by an asymptotic method. The governing equations are taken in the context of the generalized thermoelasticity with one relaxation time (L–S theory). The general solutions for any set of boundary conditions are obtained in the physical domain by the Laplace transform techniques. The corresponding asymptotic solutions for a thin plate with finite thickness, subjected to different sudden temperature rises in its two boundaries, are obtained by means of the limit theorem of Laplace transform. In the context of these asymptotic solutions, two specific problems with different boundary conditions have been conducted. The distributions of displacement, temperature and... |