DOI Prefix : 10.9780 | Journal DOI : 10.9780/22307850
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Volume : IV, Issue : V, June - 2014

QUASI-STATIC TRANSIENT THERMAL STRESSES IN A NEUMANN’S THIN RECTANGULAR PLATE WITH INTERNAL MOVING HEAT SOURCE

D. T. Solanke , -

DOI : 10.9780/22307850, By : Laxmi Book Publication

Abstract :

In this paper authors considered transient non -homogeneous thermoelastic problem with Neumann’s boundary condition in thin rectangular plate of isotropic material, occupying region R: 0 ,0 ,0 x a y b z c       where ,, b a c b  c is very small as compared to b . Initial temperature of the plate is ( , , ) f x y z and plate is placed in an ambient temperature zero. The plate is subjected to the activity of moving point heat source at point ( , , ) x y z    moving with constant velocity vector 1 2 3 u u i u j u k    where 1 2 3 ,, u u u are the component of velocity vector along ,, x y z axes respectively. The heat conduction equation containing heat generation term is solved by applying integral transform technique and Green’s theorem is adopted in deriving the solution of heat conduction equation. The solution is obtained in a ser ies form of trigonometric function and the the rmal stresses are derived.

Keywords :


Article :


Cite This Article :

D. T. Solanke , -(2014). QUASI-STATIC TRANSIENT THERMAL STRESSES IN A NEUMANN’S THIN RECTANGULAR PLATE WITH INTERNAL MOVING HEAT SOURCE. Indian Streams Research Journal, Vol. IV, Issue. V, DOI : 10.9780/22307850, http://isrj.org/UploadedData/4872.pdf

References :

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  2. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  3. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Dirichlet’s thin Solid cylinder with internal moving heat source (IOSR-JM) Volume 10,Issue 2 ver.1 (Mar-Apr.2014 PP 51-55.
  4. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Dirichlet’s thin Solid cylinder with internal moving heat source (IOSR-JM) Volume 10,Issue 2 ver.1 (Mar-Apr.2014 PP 51-55.
  5. Internal Moving Heat Source Internatioal journal of Physics and Mathematics ISSN:2277-2111 2014 vol.4 (1) January - March pp 188-192
  6. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  7. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  8. Internal Moving Heat Source Internatioal journal of Physics and Mathematics ISSN:2277-2111 2014 vol.4 (1) January - March pp 188-192
  9. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Neumann’s thin Solid cylinder with internal moving heat source (AJER) Volume-03, Issue-03, pp-75-79
  10. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Robin ’s thin Solid cylinder with internal moving heat source AJCEM 3 :2 March-April (2014) pp 8-11
  11. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Neumann’s thin Solid cylinder with internal moving heat source (AJER) Volume-03, Issue-03, pp-75-79
  12. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Robin ’s thin Solid cylinder with internal moving heat source AJCEM 3 :2 March-April (2014) pp 8-11
  13. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Dirichlet’s thin Solid cylinder with internal moving heat source (IOSR-JM) Volume 10,Issue 2 ver.1 (Mar-Apr.2014 PP 51-55.
  14. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  15. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Dirichlet’s thin Solid cylinder with internal moving heat source (IOSR-JM) Volume 10,Issue 2 ver.1 (Mar-Apr.2014 PP 51-55.
  16. Internal Moving Heat Source Internatioal journal of Physics and Mathematics ISSN:2277-2111 2014 vol.4 (1) January - March pp 188-192
  17. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Neumann’s thin Solid cylinder with internal moving heat source (AJER) Volume-03, Issue-03, pp-75-79
  18. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Robin ’s thin Solid cylinder with internal moving heat source AJCEM 3 :2 March-April (2014) pp 8-11
  19. Internal Moving Heat Source Internatioal journal of Physics and Mathematics ISSN:2277-2111 2014 vol.4 (1) January - March pp 188-192
  20. Internal Moving Heat Source Internatioal journal of Physics and Mathematics ISSN:2277-2111 2014 vol.4 (1) January - March pp 188-192
  21. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Neumann’s thin Solid cylinder with internal moving heat source (AJER) Volume-03, Issue-03, pp-75-79
  22. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Robin ’s thin Solid cylinder with internal moving heat source AJCEM 3 :2 March-April (2014) pp 8-11
  23. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  24. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  25. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  26. Internal Moving Heat Source Internatioal journal of Physics and Mathematics ISSN:2277-2111 2014 vol.4 (1) January - March pp 188-192
  27. Internal Moving Heat Source Internatioal journal of Physics and Mathematics ISSN:2277-2111 2014 vol.4 (1) January - March pp 188-192
  28. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Robin ’s thin Solid cylinder with internal moving heat source AJCEM 3 :2 March-April (2014) pp 8-11
  29. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Dirichlet’s thin Solid cylinder with internal moving heat source (IOSR-JM) Volume 10,Issue 2 ver.1 (Mar-Apr.2014 PP 51-55.
  30. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Neumann’s thin Solid cylinder with internal moving heat source (AJER) Volume-03, Issue-03, pp-75-79
  31. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Robin ’s thin Solid cylinder with internal moving heat source AJCEM 3 :2 March-April (2014) pp 8-11
  32. Internal Moving Heat Source Internatioal journal of Physics and Mathematics ISSN:2277-2111 2014 vol.4 (1) January - March pp 188-192
  33. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  34. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Neumann’s thin Solid cylinder with internal moving heat source (AJER) Volume-03, Issue-03, pp-75-79
  35. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Robin ’s thin Solid cylinder with internal moving heat source AJCEM 3 :2 March-April (2014) pp 8-11
  36. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Neumann’s thin Solid cylinder with internal moving heat source (AJER) Volume-03, Issue-03, pp-75-79
  37. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Neumann’s thin Solid cylinder with internal moving heat source (AJER) Volume-03, Issue-03, pp-75-79
  38. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Robin ’s thin Solid cylinder with internal moving heat source AJCEM 3 :2 March-April (2014) pp 8-11
  39. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Robin ’s thin Solid cylinder with internal moving heat source AJCEM 3 :2 March-April (2014) pp 8-11
  40. Internal Moving Heat Source Internatioal journal of Physics and Mathematics ISSN:2277-2111 2014 vol.4 (1) January - March pp 188-192
  41. Internal Moving Heat Source Internatioal journal of Physics and Mathematics ISSN:2277-2111 2014 vol.4 (1) January - March pp 188-192
  42. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Neumann’s thin Solid cylinder with internal moving heat source (AJER) Volume-03, Issue-03, pp-75-79
  43. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Dirichlet’s thin Solid cylinder with internal moving heat source (IOSR-JM) Volume 10,Issue 2 ver.1 (Mar-Apr.2014 PP 51-55.
  44. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Dirichlet’s thin Solid cylinder with internal moving heat source (IOSR-JM) Volume 10,Issue 2 ver.1 (Mar-Apr.2014 PP 51-55.
  45. Internal Moving Heat Source Internatioal journal of Physics and Mathematics ISSN:2277-2111 2014 vol.4 (1) January - March pp 188-192
  46. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Dirichlet’s thin Solid cylinder with internal moving heat source (IOSR-JM) Volume 10,Issue 2 ver.1 (Mar-Apr.2014 PP 51-55.
  47. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  48. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Robin ’s thin Solid cylinder with internal moving heat source AJCEM 3 :2 March-April (2014) pp 8-11
  49. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Neumann’s thin Solid cylinder with internal moving heat source (AJER) Volume-03, Issue-03, pp-75-79
  50. Internal Moving Heat Source Internatioal journal of Physics and Mathematics ISSN:2277-2111 2014 vol.4 (1) January - March pp 188-192
  51. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Dirichlet’s thin Solid cylinder with internal moving heat source (IOSR-JM) Volume 10,Issue 2 ver.1 (Mar-Apr.2014 PP 51-55.
  52. Internal Moving Heat Source Internatioal journal of Physics and Mathematics ISSN:2277-2111 2014 vol.4 (1) January - March pp 188-192
  53. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Dirichlet’s thin Solid cylinder with internal moving heat source (IOSR-JM) Volume 10,Issue 2 ver.1 (Mar-Apr.2014 PP 51-55.
  54. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Neumann’s thin Solid cylinder with internal moving heat source (AJER) Volume-03, Issue-03, pp-75-79
  55. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Neumann’s thin Solid cylinder with internal moving heat source (AJER) Volume-03, Issue-03, pp-75-79
  56. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Robin ’s thin Solid cylinder with internal moving heat source AJCEM 3 :2 March-April (2014) pp 8-11
  57. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Dirichlet’s thin Solid cylinder with internal moving heat source (IOSR-JM) Volume 10,Issue 2 ver.1 (Mar-Apr.2014 PP 51-55.
  58. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Dirichlet’s thin Solid cylinder with internal moving heat source (IOSR-JM) Volume 10,Issue 2 ver.1 (Mar-Apr.2014 PP 51-55.
  59. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  60. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Dirichlet’s thin Solid cylinder with internal moving heat source (IOSR-JM) Volume 10,Issue 2 ver.1 (Mar-Apr.2014 PP 51-55.
  61. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Neumann’s thin Solid cylinder with internal moving heat source (AJER) Volume-03, Issue-03, pp-75-79
  62. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Dirichlet’s thin Solid cylinder with internal moving heat source (IOSR-JM) Volume 10,Issue 2 ver.1 (Mar-Apr.2014 PP 51-55.
  63. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Dirichlet’s thin Solid cylinder with internal moving heat source (IOSR-JM) Volume 10,Issue 2 ver.1 (Mar-Apr.2014 PP 51-55.
  64. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  65. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  66. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Robin ’s thin Solid cylinder with internal moving heat source AJCEM 3 :2 March-April (2014) pp 8-11
  67. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  68. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Robin ’s thin Solid cylinder with internal moving heat source AJCEM 3 :2 March-April (2014) pp 8-11
  69. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  70. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Neumann’s thin Solid cylinder with internal moving heat source (AJER) Volume-03, Issue-03, pp-75-79
  71. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  72. Internal Moving Heat Source Internatioal journal of Physics and Mathematics ISSN:2277-2111 2014 vol.4 (1) January - March pp 188-192
  73. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  74. Internal Moving Heat Source Internatioal journal of Physics and Mathematics ISSN:2277-2111 2014 vol.4 (1) January - March pp 188-192
  75. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  76. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Dirichlet’s thin Solid cylinder with internal moving heat source (IOSR-JM) Volume 10,Issue 2 ver.1 (Mar-Apr.2014 PP 51-55.
  77. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  78. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Dirichlet’s thin Solid cylinder with internal moving heat source (IOSR-JM) Volume 10,Issue 2 ver.1 (Mar-Apr.2014 PP 51-55.
  79. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Robin ’s thin Solid cylinder with internal moving heat source AJCEM 3 :2 March-April (2014) pp 8-11
  80. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  81. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Neumann’s thin Solid cylinder with internal moving heat source (AJER) Volume-03, Issue-03, pp-75-79
  82. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Robin ’s thin Solid cylinder with internal moving heat source AJCEM 3 :2 March-April (2014) pp 8-11
  83. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Neumann’s thin Solid cylinder with internal moving heat source (AJER) Volume-03, Issue-03, pp-75-79
  84. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  85. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  86. Internal Moving Heat Source Internatioal journal of Physics and Mathematics ISSN:2277-2111 2014 vol.4 (1) January - March pp 188-192
  87. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Dirichlet’s thin Solid cylinder with internal moving heat source (IOSR-JM) Volume 10,Issue 2 ver.1 (Mar-Apr.2014 PP 51-55.
  88. Internal Moving Heat Source Internatioal journal of Physics and Mathematics ISSN:2277-2111 2014 vol.4 (1) January - March pp 188-192
  89. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  90. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  91. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  92. Internal Moving Heat Source Internatioal journal of Physics and Mathematics ISSN:2277-2111 2014 vol.4 (1) January - March pp 188-192
  93. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Robin ’s thin Solid cylinder with internal moving heat source AJCEM 3 :2 March-April (2014) pp 8-11
  94. Internal Moving Heat Source Internatioal journal of Physics and Mathematics ISSN:2277-2111 2014 vol.4 (1) January - March pp 188-192
  95. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Dirichlet’s thin Solid cylinder with internal moving heat source (IOSR-JM) Volume 10,Issue 2 ver.1 (Mar-Apr.2014 PP 51-55.
  96. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  97. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Robin ’s thin Solid cylinder with internal moving heat source AJCEM 3 :2 March-April (2014) pp 8-11
  98. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Neumann’s thin Solid cylinder with internal moving heat source (AJER) Volume-03, Issue-03, pp-75-79
  99. Internal Moving Heat Source Internatioal journal of Physics and Mathematics ISSN:2277-2111 2014 vol.4 (1) January - March pp 188-192
  100. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Neumann’s thin Solid cylinder with internal moving heat source (AJER) Volume-03, Issue-03, pp-75-79
  101. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Dirichlet’s thin Solid cylinder with internal moving heat source (IOSR-JM) Volume 10,Issue 2 ver.1 (Mar-Apr.2014 PP 51-55.
  102. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  103. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Dirichlet’s thin Solid cylinder with internal moving heat source (IOSR-JM) Volume 10,Issue 2 ver.1 (Mar-Apr.2014 PP 51-55.
  104. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  105. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Dirichlet’s thin Solid cylinder with internal moving heat source (IOSR-JM) Volume 10,Issue 2 ver.1 (Mar-Apr.2014 PP 51-55.
  106. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  107. Internal Moving Heat Source Internatioal journal of Physics and Mathematics ISSN:2277-2111 2014 vol.4 (1) January - March pp 188-192
  108. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Neumann’s thin Solid cylinder with internal moving heat source (AJER) Volume-03, Issue-03, pp-75-79
  109. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Neumann’s thin Solid cylinder with internal moving heat source (AJER) Volume-03, Issue-03, pp-75-79
  110. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Neumann’s thin Solid cylinder with internal moving heat source (AJER) Volume-03, Issue-03, pp-75-79
  111. Internal Moving Heat Source Internatioal journal of Physics and Mathematics ISSN:2277-2111 2014 vol.4 (1) January - March pp 188-192
  112. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  113. D. T. Solanke, M. H. Durge Quasi-Static Transient Thermal Stresses in a Dirichlet’s thin Hollow Cylinder with
  114. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Dirichlet’s thin Solid cylinder with internal moving heat source (IOSR-JM) Volume 10,Issue 2 ver.1 (Mar-Apr.2014 PP 51-55.
  115. D. T. Solanke, M. H. Durge Quasi-Static transient Thermal Stresses in a Robin ’s thin Solid cylinder with internal moving heat source AJCEM 3 :2 March-April (2014) pp 8-11

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