本文是主要是理論研究316L不銹鋼薄壁圓管承受循環負載時所呈現的黏塑性力學行為及皺曲損壞。316L不銹鋼薄壁圓管的尺寸為：外徑（D）＝ 36 mm、壁厚（t）＝ 0.6 mm，外徑及壁厚比（D/t比）＝ 60。黏塑性力學行為是不同控制的曲度率下彎矩、曲度及橢圓化的相互關係，而黏塑性皺曲損壞為不同控制的曲度率下控制曲度量與循環至皺曲圈數的關係。對於黏塑性力學行為的理論分析，本研究採用內涵時間黏塑性理論，配合虛功原理以推導所需要的平衡方程式，並且利用一組傅立葉級數來近似薄壁圓管截面上每一點的位移。從相對應的材料參數中求得不同曲度率下彎矩、曲度和橢圓化之間的關係。至於黏塑性皺曲損壞的理論分析，本研究修改1998年Pan and Her所提出的理論模式，使得該模式可用來描述316L不銹鋼薄壁圓管承受不同控制曲度率循環彎曲負載時，控制曲度量與循環至皺曲圈數的關係。在和李慶峰所做的實驗結果比較後顯示，理論確實能合理的描述實驗的結果。

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1.S.Kyriakides and P.K.Shaw,“Response and Stability of Elastoplastic Circular Pipe under Combined Bending and External Pressure,”Int.J.Solids Struct.,
Vol.18,No.11,pp.957-973,1982

2.P.K.Shaw and S.Kyriakides,“Inelastic Analysis of Thin-Walled Tubes under Cyclic Bending,”Int.J.Solids Struct.,Vol.21,No.11, pp.1073-1100,1985

3.S.Kyriakides and P.K.Shaw,“Inelastic Buckling of Tubes under Cyclic Bending,”ASME,J. of Pressure Vessel Tech.,Vol.109,pp.169-178,1987

4.E.Cornoa and S.Kyriakides,“On the Collapse of Inelastic Tubes under Combined Bending and Pressure,”Int.J.Solids Struct.,Vol.24,No.5,pp.505-535,1988

5.W.F.Pan and K.T.Leu,“Endochronic Analysis for Viscoplastic Collapse of Thin-Walled Tube under Combined Bending and External Pressure,
”JSME,Int.J.,Series A,Vol.40,No.2,pp.189-199,1997

6.E. E.Cornoa and S.Kyriakides,“An Expermental Investigation of the Degradation and Buckling of Circular Tubes under Cyclic Bending and external Pressure,
”Thin-Walled Structures,Vol12,pp.229-263,1991

7.S.Kyriakides and G.T.Ju,“Bifurcation And Localization Instabilities In Cylindrical Shells Under Bending-I. Experiment,”Int.J.Solids Struct, Vol.29, No.9, pp. 1117- 1142,1992

8.E.Cornoa and S.P.Vaze, “Buckling of Elastic-Plastic Square Tubes under Bending,”Int.J.Mech.Sci.,Vol.38,No.7,pp.753- 775,1996

9.W.F.Pan, T.R.Wang and C.M.Hsu,“A Curvature-Ovalization Measurement Apparatus for Circular Tubes under Cyclic Bending,”Experimental Mechanics,
Int.J.,Vol.38,No.2,pp.99-102,1998

10. W.F.Pan and Y.S.Her,“Viscoplastic Collapse of Thin-Walled Tubes under
Cyclic Bending,”ASME,J. of Engineering Materials and Tech.,Vol.120,
pp.287-290,1998

11. W.F.Pan and C.H.Fan,“An Experimental Stady on the Effect of Curvature-Rate at Preloading Stage on Subsequent Creep or Relaxation of Thin-Walled Tubes under Pure Bending,”JSME Int.J.,Series A,Vol.41,No.4,pp.525-531,1998

12. W.F.Pan, T.H.Lee and W.C.Yeh,“Endochronic Analysis for Finite Elasto-Plastic Deformation and Application to Metal Tubes under Torsion and Metal Rectangular Block under Biaxial Compression,”Int.J. of plasticity,Vol.12, No.10, pp.1287- 1316,1997

13. W.F.Pan and C.H.Chern,“Endochronic Desvription of Viscoplastic Behavior of Materials under Multiaxial Loading,”Int.J.of Solids Structures,Vol.34. No.17, pp.2131- 2160,1997

14. W.F.Pan and W.J.Chiang“Endochronic Simulation for Multiaxial Creep,”
JSME,Series A,Vol.41,No.2,pp.204-210,1998

15. W.F.Pan, W.J.Chiang and C.K.Wang,“Endochronic Analysis for Rate-dependent Elasto-Plastic Deformation,”Int.J.of Solids and Structures,Vol.36,
993215-3237,1999

16.K.C.Valanis, “A Theory of Viscoplasticity without a Yield Surface,PartI：General Theory；PartII：Application to Mechanical Behavior of Mental, ”Arch. Mech.,23,pp.517-551,1971

17.H.C.Wu and M.C.Yip, “Strain-Rate and Strain-Rate History Effects on the Dynamic Behavior of Metallic Materials, ”Int.J. of Soilds and Structures,
Vol.16,pp.515-536,1980

18. Don O.Brush and Bo O.Almroth,“Buckling of bars,plates and shells,”虹橋,Chap.4,pp.120-125,1975

19. K.C.Valanis,“Fundamental Consequences of a New Intrinsic Time Measure Plasticity as a Limit of the Endochronic Theory,”Arch. Mechanics,pp.171-191,1980

20. 洪健中,“應用內涵時間理論描述鈦合金管在循環彎曲負載下粘塑性之材料行為,”國立成功大學碩士論文, 2000

21. 張高華,“薄壁管在不對稱循環彎曲負載下力學行為之理論研究,”國立成功大學碩士論文, 2001