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| Stress Wave Propagations in Viscoelastic Specimen during SHPB Tests |
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Abstract The governing partial differential equations describing one-dimensional stress wave propagations within a viscoelastic specimen in a Split Hopkinson Pressure Bar (SHPB) test are established. Coupled boundary conditions at both ends of the specimen are derived by using the characteristic equations in the incident bar and the transmitting bar. Laplace transform of the governing equations turns the group of PDEs into an ordinary differential equation, which is solved analytically with the transformed BCs. The inverse Laplace transform of the solution gives the time histories of stress at arbitrary site. A modified Fixed Talbot (FT) algorithm is proposed to do the inverse transform numerically. Results calculated by using this algorithm agree very well with the results obtained by finite difference simulation of the same problem. This proves the efficiency and accuracy of the developed technique. Using this technique, parametric investigations are conducted to study the influences on the transmitting stress waves of specimen length and material parameters.
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Received: 04 December 2008
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| [1] |
. Experimental study of granite under combined dynamic and quasi-static compression-shear loading[J]. , 2014, 35(2): 115-123. |
| [2] |
. Dynamic Green’s function for three-dimensional concentrated loads in the interior of viscoelastic layered half-space—Modified Stiffness Matrix Method[J]. , 2013, 34(6): 579-589. |
| [3] |
. THE INERTIA EFFECT OF THE COMPRESSIBLE CONCRETE MATERIAL TESTS IN SHPB SYSTEM[J]. , 2013, 34(5): 515-520. |
| [4] |
;;Youhe Zhou. ANALYSIS ON THE AEROELASTIC DYNAMIC STABILITY OF A ROTATING SANDWICH ANNULAR PLATE WITH VISCOELASTIC CORE LAYER[J]. , 2013, 34(4): 325-332. |
| [5] |
Zhi Han;. A piecewise temperal expanding algorithm to solve viscoelastic problems with large deformation[J]. , 2013, 34(4): 380-387. |
| [6] |
. Frequency Responses of a Partial Sealed Tunnel with Fractional Derivative Viscoelastic Lining[J]. , 2012, 33(6): 637-643. |
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2010, Vol. 31 
