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陈长海 , 侯海量 , 朱锡 , 等 . 破片式战斗部空中爆炸下冲击波与破片的耦合作用 [J ] . 高压物理学报 , 2018 , 32 ( 1 ): 148 - 156 .

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夏冰寒 , 王金相 , 周楠 , 等 . 柱状装药预制破片缩比战斗部爆炸冲击波和破片的作用时序 [J ] . 高压物理学报 , 2020 , 34 ( 1 ): 95 - 101 .

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廖南 , 洪建 , 方秦 , 等 . 带壳装药爆炸冲击波与破片荷载规律的数值模拟研究 [J ] . 防护工程 , 2022 , 44 ( 6 ): 7 - 14 .

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LINZ P D , FUNG T C , CHIK L , et al. Response mechanisms of reinforced concrete panels to the combined effect of close-in blast and fragments: an integrated experimental and numerical analysi [J ] . International Journal of Protective Structures , 2021 , 12 ( 1 ): 49 - 72 . DOI: 10.1177/2041419620923129 http://doi.org/10.1177/2041419620923129 http://journals.sagepub.com/doi/10.1177/2041419620923129 http://journals.sagepub.com/doi/10.1177/2041419620923129 The effect of cased explosives on reinforced concrete components is important for the design of protective structures, since the interaction between the fragments and blast waves can modify or even amplify the damage caused. This work deals with the development of finite element analysis techniques to simulate the combined loading and to understand this interaction. In this work, an experiment conducted with a cased explosive and further tests from the literature were used together to develop and stepwise validate finite element analysis models of the different loading phases. The casing fragment velocities and spatial distribution were derived from explosive expansion simulations of the hull using the smooth particle hydrodynamics method together with a momentum conserving penalty contact. The blast loading applied on the concrete plate was based on established empirical formulae, acting at the same times as the fragments. Comparing the final damage with the experimental records revealed good agreement for most damage patterns. The model was used to identify the different damage evolution stages, such as shock-induced shear plug formation and subsequent structural dynamic bending with the associated damage. In addition, differential model variants with fragment and blast loading in isolation were simulated to resolve the response and damage of each loading component. The blast load caused predominantly bending deformations and damage, while the fragments caused similar cratering as seen in the combined case. However, the final combined damage was larger than that caused by each phenomenon. In the given situation, the fragments created most damage, but the established modelling approach opens the perspective to study these effects also for other ratios of explosive to casing weight and scaled distances, where the contributions might differ. Establishing a valid modelling approach is thus an important step towards more insight into the interaction of these complex loading types and damage effects.

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马福临 , 杨娜娜 , 赵天佑 , 等 . 冲击波-破片群联合作用下舰船复合材料结构近场动力学损伤模拟 [J ] . 爆炸与冲击 , 2022 , 42 ( 3 ): 89 - 100 .

MA F L , YANG N N , ZHAO T Y , et al. Peridynamic damage simulation of ship composite structures subjected to combined action of shock wave and fragments [J ] . Explosion and Shock Waves , 2022 , 42 ( 3 ): 89 - 100 . (in Chinese)

程远胜 , 谢杰克 , 李哲 , 等 . 冲击波和破片群联合作用下高强聚乙烯/泡沫铝夹芯复合结构毁伤响应特性 [J ] . 兵工学报 , 2021 , 42 ( 8 ): 1753 - 1762 . DOI: 10.3969/j.issn.1000-1093.2021.08.020 http://doi.org/10.3969/j.issn.1000-1093.2021.08.020 为提高舰船在冲击波和破片群联合作用下抗毁伤能力，提出一种新型高强聚乙烯/泡沫铝夹芯复合结构，旨在采用TNT炸药和预制破片的方式开展其在联合作用下毁伤响应的数值研究。基于有限元软件LS-DYNA，模拟结构在冲击波和破片群联合作用下的动态响应过程，与典型工况的实验结果对比验证数值模型的可靠性。在此基础上，分析特征点的速度与加速度响应以及能量吸收特性，获得结构的毁伤响应特征，进一步探讨面板厚度配置对结构失效模式和塑性变形的影响。结果表明：夹芯复合结构加速度时程曲线中破片和上面板中心点加速度均存在两个明显的峰值，分别是由于破片撞击强度较大的上面板和高强聚乙烯芯层所引起；上面板和泡沫铝在复合结构整体塑性耗散功中占主导；等质量条件下，上下面板等厚的配置在上面板对于破片的速度衰减能力减弱不大情况下，下面板具有足够强的抗弯能力，使得下面板塑性变形最小，具有最优的抗联合毁伤性能。

CHENG Y S , XIE J K , LI Z , et al. Damage response characteristics of UHMWPE/aluminum foam composite sandwich panel subjected to combined blast and Fragment Loadings [J ] . Acta Armamentarii , 2021 , 42 ( 8 ): 1753 - 1762 . (in Chinese)

李茂 , 高圣智 , 侯海量 , 等 . 空爆冲击波与破片群联合作用下聚脲涂覆陶瓷复合装甲结构毁伤特性 [J ] . 爆炸与冲击 , 2020 , 40 ( 11 ): 51 - 63 .

LI M , GAO S Z , HOU H L , et al. Damage characteristics of polyurea coated ceramic/steel composite armor structures sumected to combined loadings of blast and high-velocity fragments [J ] . Explosion and Shock Waves , 2020 , 40 ( 11 ): 51 - 63 . (in Chinese)

王孟鑫 , 陈睿颖 , 王金相 . 破片与冲击波联合作用下多孔泡沫铝夹芯复合材料板的防护性能 [J ] . 兵工学报 , 2021 , 42 ( 5 ): 1041 - 1052 . DOI: 10.3969/j.issn.1000-1093.2021.05.017 http://doi.org/10.3969/j.issn.1000-1093.2021.05.017 多孔泡沫铝钛合金板不仅克服了传统防护结构质量大、运输不便等缺点，还具有耐疲劳、比强度高等优点，对抗爆防护材料轻质化、高效化具有十分重要的意义。采用有限元仿真分析软件LS-DYNA，对夹芯复合材料板在冲击波与破片联合作用下的失效模式和防护性能展开了数值模拟，对比分析了不同排列方式下泡沫铝夹芯结构对背板变形程度的影响。结果表明：在40 cm爆距下，破片会先于冲击波对靶板进行作用，且破片载荷强度远大于冲击波载荷强度；当厚度方向的结构按照“1 mm厚钛合金面板+10 mm厚泡沫铝+10 mm厚泡沫铝+10 mm厚纤维+1 mm厚钛合金背板”排列时，背板变形位移最小，结构总内能最高，分别为13.9 mm和52.7 kJ，此工况可以更有效地降低结构整体变形程度，吸收面板变形所产生的能量。

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李典 , 侯海量 , 戴文喜 , 等 . 爆炸冲击波和破片联合作用下玻璃纤维夹芯复合结构毁伤特性实验研究 [J ] . 兵工学报 , 2017 , 38 ( 5 ): 877 - 885 . DOI: 10.3969/j.issn.1000-1093.2017.05.006 http://doi.org/10.3969/j.issn.1000-1093.2017.05.006 为研究爆炸冲击波和破片联合作用下复合夹芯结构的防护能力和毁伤机理，采用TNT和预制破片开展了冲击波和破片联合作用下玻璃纤维夹芯结构的联合毁伤实验。研究玻璃纤维复合夹芯结构的毁伤特性，将其防护能力与芳纶、高强聚乙烯复合夹芯结构进行了量化对比，并分析了冲击波和破片联合作用下复合夹芯结构前面板、芯层、后面板的破坏模式及相应破坏机理。结果表明：选用复合夹芯结构抗冲击波和破片联合毁伤时，同等防护能力所需E玻璃纤维芯层重量分别为芳纶芯层、高强聚乙烯芯层的1.37倍、2.50倍；前面板破坏模式主要由冲击波载荷、破片载荷、芯层约束3方面因素共同决定；破片载荷对芯层破坏模式起主要作用，后面板破坏模式与芯层碰撞、破片载荷两方面因素有关，其中冲击波载荷和芯层碰撞为面载荷，使前后面板产生整体弯曲变形，破片载荷为点载荷，使面板和芯层产生局部的穿甲破孔，芯层约束限制了前面板变形空间。

LI D , HOU H L , DAI W X , et al. Experimental investigation on damage of glassfiber sandwich structure under explosion and fragment loadings [J ] . Acta Armamentarii , 2017 , 38 ( 5 ): 877 - 885 . (in Chinese) DOI: 10.3969/j.issn.1000-1093.2017.05.006 http://doi.org/10.3969/j.issn.1000-1093.2017.05.006 In order to explore the protection ability and damage mechanism of glassfiber sandwich bulkhead under explosion and fragment loadings，the deformation and failure tests of glassfiber sandwich structure were performed using cast TNT and prefabricated fragments. The damage characteristics of glassfiber composite sandwich structure，of which protection ability is quantitatively compared with those of aramid and high-strength polyethylene composite sandwich structures，are studied，and the failure mode of each layer composite sandwich structure and its corresponding failure mechanism are analyzed. The results show that E-glass core is required to be 1.37 times and 2.50 times heavier than aramid core and high-strength polyethylene core，respectively，when sandwich structure is applied to resist explosion and fragment loadings. The failure mode of front panel is co-determined by three factors，including shock wave，fragment load,and core constraint. Fragment load plays a major role on core failure mode，the failure mode of rear panel is related to core impact and fragment load. The shock wave and core impact are surface loads，which lead to the bending deformation of front and rear panels，the fragment load is point load，which leads to the local piercing holes on panel and core，and the core constraint limits the deformation space of the front panel. Key

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