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The Hugoniot elastic limit (HEL) of ceramics is explained as the limit of elastic response and the onset of failure under dynamic uniaxial strain loading, which is an important parameter for understanding the dynamic properties of ceramic materials. Previous experimental impact studies showed an interesting phenomenon that the HEL decreases with the increase of sample thickness, which is termed the elastic precursor decay. This phenomenon has not been explained by a suitable mechanism to date. Recently it has become apparent that mechanical response of polycrystalline ceramics is governed by mechanism operating at a grain level. So the objective of the present work is to develop a mechanism that can illustrate this phenomenon on a mesoscale. In this paper, the plate impact experiments of alumina with varying thickness values are conducted by using one-stage light gas gun. The histories of the rear free surface velocity of the samples are recorded by a Velocity Interferometer System for Any Reflector (VISAR). The HELs of alumina samples with different thickness values are obtained from turning point of elastic phase to inelastic phase in the temporal curves of free surface velocity. It is confirmed that the HEL of alumina decreases with increasing the sample thickness obviously, namely elastic precursor decay phenomenon. It is considered that this phenomenon is related to the failure mechanism of shocked alumina at a grain level. Thus, the mesoscopic model of alumina, including alumina grain phase and glass binder phase, is developed according to the microstructure properties of tested sample observed experimentally. Mesoscale simulations are presented to study the mesoscale failure properties of alumina at various impact velocities. The results show that inelastic responses, such as microcracking, grain plasticity, are observed in microstructure of alumina even when the peak-shock stress is less than the magnitude of HEL. As is well known, the evolution process of cracking or plasticity is the energy dissipation process essentially, which will reduce the amplitude of elastic wave. Furthermore, the properties of elastic precursor wave propagation in microstructure of alumina are also captured in the present simulations. Since the acoustic impedance of glass binder phase is much lower than that of alumina grain phase, complex reflection and transmission of elastic wave will occur at grain boundaries. Due to a large number of randomly oriented crystals, the wave front, well defined at the continuum, is dispersed to lateral or reverse directions at these length-scales, which can also decay the elastic precursor amplitude in the initial propagating direction. Therefore, the results suggest that energy dissipation caused by the failure process should occur below HEL and energy dispersion due to reflection and transmission of elastic wave at grain boundaries should play a dominant role in the phenomenon of elastic precursor decay.
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Keywords:
- shock compression /
- alumina /
- elastic precursor decay /
- meso-mechanical response
[1] Gust W H, Royce E B 1971 J. Appl. Phys. 42 276
[2] Rosenberg Z, Brar N S, Bless S J 1988 J. Phys. Colloq. 49 707
[3] Bourne N K, Rosenberg Z, Field J E, Crouch I G 1994 J. Phys. IV 4 269
[4] Staehler J M, Predebon W W, Pletka B J 1994 High Pressure Science and Technology (New York: American Institute of Physics) p745
[5] Murray N H, Bourne N K, Rosenberg Z 1998 J. Appl. Phys. 84 4866
[6] Cagnoux J, Longy F 1988 Shock Waves in Condensed Matter(California: Elsevier Science Publisher BV) p293
[7] Grady D E 1998 Mech. Mater. 29 181
[8] Marom H, Sherman D, Rosenberg Z 2000 J. Appl. Phys. 88 5666
[9] Bourne N K, Rosenberg Z, Crouch I G, Field J E 1994 Proc. R.Soc. London, Ser. A 446 309
[10] Liu Z F, Feng X W, Zhang K, Yan S J 2010 Gongneng Cailiao 41 2087 (in Chinese) [刘占芳, 冯晓伟, 张凯, 颜世军 2010 功能材料 41 2087]
[11] Feng X W, Liu Z F, Chen G, Yao G W 2012 Adv. Appl. Ceram. 110 335
[12] Ning J, Ren H, Li P 2008 Acta Mech. Sin. 24 305
[13] Chen M W, McCauley J W, Dandekar D P, Bourne N K 2006 Nat. Mater. 5 614
[14] Kuang Z B, Gu H C, Li Z H 1998 Mechanical Behavior of Materials (Beijing: Science Press) pp299-308 (in Chinese) [匡震邦, 顾海澄, 李中华 1998 材料的力学行为 (北京: 高等教育出版社) 第299-308页]
[15] Bourne N K 2006 J. Appl. Phys. 99 023502
[16] Chang J Z, Liu Z F, Li Y H, Li Y L, Li J P 2007 J. Mater. Sci. Eng. 25 616 (in Chinese) [常敬臻, 刘占芳, 李英华, 李英雷, 李建鹏 2007 材料科学与工程学报 25 616]
[17] Zhang X, Hao H, Ma G 2015 Int. J. Impact Eng. 77 108
[18] Louro L, Meyers M A 1989 J. Mater. Sci. 24 2516
[19] Krishnan K, Sockalingam S, Bansal S, Rajan S D 2010 Compos. Part B 41 583
[20] Espinosa H D, Raiser G, Clifton R J, Ortiz M 1992 J. Hard Mater. 3 285
[21] Sun Z F, He H L, Li P, Li Q Z 2012 Acta Phys. Sin. 61 096201 (in Chinese) [孙占峰, 贺红亮, 李平, 李庆忠 2012 61 096201]
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[1] Gust W H, Royce E B 1971 J. Appl. Phys. 42 276
[2] Rosenberg Z, Brar N S, Bless S J 1988 J. Phys. Colloq. 49 707
[3] Bourne N K, Rosenberg Z, Field J E, Crouch I G 1994 J. Phys. IV 4 269
[4] Staehler J M, Predebon W W, Pletka B J 1994 High Pressure Science and Technology (New York: American Institute of Physics) p745
[5] Murray N H, Bourne N K, Rosenberg Z 1998 J. Appl. Phys. 84 4866
[6] Cagnoux J, Longy F 1988 Shock Waves in Condensed Matter(California: Elsevier Science Publisher BV) p293
[7] Grady D E 1998 Mech. Mater. 29 181
[8] Marom H, Sherman D, Rosenberg Z 2000 J. Appl. Phys. 88 5666
[9] Bourne N K, Rosenberg Z, Crouch I G, Field J E 1994 Proc. R.Soc. London, Ser. A 446 309
[10] Liu Z F, Feng X W, Zhang K, Yan S J 2010 Gongneng Cailiao 41 2087 (in Chinese) [刘占芳, 冯晓伟, 张凯, 颜世军 2010 功能材料 41 2087]
[11] Feng X W, Liu Z F, Chen G, Yao G W 2012 Adv. Appl. Ceram. 110 335
[12] Ning J, Ren H, Li P 2008 Acta Mech. Sin. 24 305
[13] Chen M W, McCauley J W, Dandekar D P, Bourne N K 2006 Nat. Mater. 5 614
[14] Kuang Z B, Gu H C, Li Z H 1998 Mechanical Behavior of Materials (Beijing: Science Press) pp299-308 (in Chinese) [匡震邦, 顾海澄, 李中华 1998 材料的力学行为 (北京: 高等教育出版社) 第299-308页]
[15] Bourne N K 2006 J. Appl. Phys. 99 023502
[16] Chang J Z, Liu Z F, Li Y H, Li Y L, Li J P 2007 J. Mater. Sci. Eng. 25 616 (in Chinese) [常敬臻, 刘占芳, 李英华, 李英雷, 李建鹏 2007 材料科学与工程学报 25 616]
[17] Zhang X, Hao H, Ma G 2015 Int. J. Impact Eng. 77 108
[18] Louro L, Meyers M A 1989 J. Mater. Sci. 24 2516
[19] Krishnan K, Sockalingam S, Bansal S, Rajan S D 2010 Compos. Part B 41 583
[20] Espinosa H D, Raiser G, Clifton R J, Ortiz M 1992 J. Hard Mater. 3 285
[21] Sun Z F, He H L, Li P, Li Q Z 2012 Acta Phys. Sin. 61 096201 (in Chinese) [孙占峰, 贺红亮, 李平, 李庆忠 2012 61 096201]
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