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Spring-rod-based mechanical metamaterials with programmable nonlinear load-displacement curves 具有可编程非线性载荷-位移曲线的基于弹簧杆的机械超材料
IF 5.1 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-01-09 DOI: 10.1016/j.ijimpeng.2026.105642
Haifeng Ou, Wenkang Ye, Lingling Hu
Load-displacement curve is the essence of a material for the mechanical performances, which can normally not be changed once they are manufactured. In engineering, complex dynamic loads are usually sudden or unexpected. Great challenges remain for materials with alterable mechanical characteristics to meet various requirement of sudden dynamic protection. Here, we present a novel kind of metamaterial with rich types of load-displacement curves programmable, such as multiple snap-through to resist repeatable impact, stair-stepping for vibration isolation, long quasi-plateau for impact buffering or nonlinear damping, and mixture of above characteristics for complex dynamic loads. The metamaterial is composed of springs and rod mechanisms. The cells’ stiffness can be switched among zero, negative and positive, whilst the load amplitude is regulable. It is realized by the matching between the nonlinearity of rod mechanisms and the springs’ stiffnesses, with the former adjustable by the spring’s length. Thus the metamaterial’s mechanical characteristics can be programmed by only replacing several springs with different stiffness or length. The analytical expressions of the metamaterial’s load-displacement relationship under large deformation are established in an equation of parameters of springs and rods, which plays the guidance for the programming customization of the metamaterial. Experiments demonstrated the excellent buffering of the metamaterial under both repetitive impact and low-frequency vibrations even with indeterminate payload. The proposed spring-rod-based metamaterial and the ability of altering nonlinear load-displacement curves open up a new avenue to the self-adaptive protection under complex dynamic loads.
载荷-位移曲线是材料力学性能的本质,材料一经制造,通常是不可改变的。在工程中,复杂的动荷载通常是突然的或不可预测的。机械特性多变的材料要满足各种突发动态保护的要求,面临着很大的挑战。在这里,我们提出了一种新型的具有丰富类型的可编程载荷-位移曲线的超材料,例如用于抵抗重复冲击的多重穿越,用于隔振的阶梯,用于缓冲冲击或非线性阻尼的长准平台,以及用于复杂动态载荷的上述特性的混合。该超材料由弹簧和杆机构组成。单元刚度可在零、负、正之间切换,载荷幅值可调。它是通过连杆机构的非线性与弹簧刚度的匹配来实现的,前者可以通过弹簧的长度来调节。因此,只需更换几个不同刚度或长度的弹簧,就可以对超材料的机械特性进行编程。建立了大变形条件下超材料的载荷-位移关系的解析表达式,为超材料的编程定制提供了指导。实验证明,即使载荷不确定,该材料在重复冲击和低频振动下也具有良好的缓冲性能。所提出的基于弹簧杆的超材料及其改变非线性载荷-位移曲线的能力为复杂动载荷下的自适应保护开辟了一条新的途径。
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引用次数: 0
Residual impact resistance of fire-exposed RC slabs: High-fidelity modeling, mechanisms, and prediction 暴露于火中的RC板的残余抗冲击性:高保真模型、机制和预测
IF 5.1 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-01-07 DOI: 10.1016/j.ijimpeng.2026.105640
Puchu Xie , Li Chen , Bin Feng , Chengjun Yue , Linfeng Xu , Boyu Chen
The residual impact resistance of reinforced concrete (RC) slabs following fire exposure is a critical concern for structural safety, yet remains poorly understood due to the complexity of coupled thermo-mechanical phenomena. This paper establishes a high-fidelity computational framework to systematically investigate this issue by integrating the KC-HT constitutive model with a Truss-Enhanced Adaptive FEM-MPM (TEAFEMPM) platform. Following validation against experimental data, an extensive parametric study reveals a non-monotonic, “U-shaped” relationship between the slab’s dynamic resistance and impact velocity. This trend originates from the interplay between physical failure mechanisms and the resistance metric: the initial drop in resistance is driven by a sharp increase in penetration depth as failure transitions from top-rebar containment to bottom-rebar arrest, while the subsequent rise is attributed to material strain-rate hardening within the perforation regime. Furthermore, thermal pre-damage systematically lowers this U-shaped curve. Based on a validated physics-informed decoupling hypothesis—which confirms that thermal degradation is largely independent of impact velocity—these insights are synthesized into a unified predictive model. By employing a general functional form with coefficients calibrated for the studied configuration, the model accurately quantifies residual impact resistance (R2 = 0.897). This study elucidates the governing failure mechanisms and provides an efficient tool for the vulnerability assessment of thermally damaged structures.
火灾后钢筋混凝土(RC)板的残余抗冲击性是结构安全的关键问题,但由于耦合热-力学现象的复杂性,人们对其了解甚少。本文通过将KC-HT本构模型与桁架增强自适应FEM-MPM (TEAFEMPM)平台相结合,建立了一个高保真的计算框架来系统地研究这一问题。在对实验数据进行验证之后,一项广泛的参数研究揭示了板的动阻力与冲击速度之间的非单调的“u形”关系。这一趋势源于物理破坏机制与阻力指标之间的相互作用:随着破坏从顶部钢筋密封过渡到底部钢筋停止,穿透深度急剧增加,从而导致阻力的最初下降,而随后的上升归因于射孔区内材料应变率硬化。此外,热预损伤系统地降低了u形曲线。基于一个经过验证的物理解耦假设(证实热降解在很大程度上与撞击速度无关),这些见解被综合成一个统一的预测模型。通过采用一般函数形式,并根据所研究的配置校准系数,该模型准确地量化了剩余抗冲击性(R2 = 0.897)。本研究阐明了热损伤结构的控制破坏机制,为热损伤结构的易损性评估提供了有效的工具。
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引用次数: 0
Corrigendum to ’Optimization of steel-UHMWPE multilayer armour under ballistic impact: Experiments and Simulations’ “钢质超高分子量聚乙烯多层装甲在弹道冲击下的优化:实验和模拟”的更正
IF 5.1 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-01-07 DOI: 10.1016/j.ijimpeng.2025.105616
Sangeeta Khare , Kartikeya Kartikeya , Hemant Chouhan , Naresh Bhatnagar , Puneet Mahajan
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引用次数: 0
On the penetration of shear thickening fluid (STF) impregnated and neat Kevlar fabrics 剪切增稠液(STF)浸渍整齐凯夫拉织物的渗透性能
IF 5.1 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-01-06 DOI: 10.1016/j.ijimpeng.2026.105639
Y.C. Ye, H.C. Xu, H.M. Wen
Shear thickening fluid (STF) impregnated Kevlar fabric is an advanced composite material that exhibits superior impact resistance compared to neat Kevlar fabric. This study investigates the penetration behavior of both STF impregnated and neat Kevlar fabrics within a unified framework. A continuum damage mechanics (CDM) based dynamic constitutive model, recently developed for both materials, is first outlined. This model incorporates a dynamic increase factor (accounting for strain rate effects) and a residual strength factor (calibrated using STF rheological properties and yarn pull-out test results). Furthermore, the model is enhanced by incorporating temperature effects, which significantly improves its predictive capability at different temperatures. Numerical simulations of ballistic, low-velocity impact, and quasi-static penetration are conducted using this constitutive model. The simulation results show good agreement with available experimental data in terms of residual velocity, load-displacement curve, and failure patterns, validating the model's accuracy and effectiveness. Parametric studies reveal that projectile nose shape significantly affects the penetration resistance of both materials. Additionally, the STF impregnated fabric mobilizes a larger material region during impact, thereby enhancing its penetration resistance relative to neat Kevlar, while also exhibiting greater strain rate sensitivity across different impact velocities under identical energy conditions
剪切增稠液(STF)浸渍凯夫拉纤维织物是一种先进的复合材料,与纯凯夫拉纤维织物相比,具有优越的抗冲击性。本研究在一个统一的框架内研究了STF浸渍和整齐凯夫拉织物的渗透行为。本文首先概述了一种基于连续损伤力学(CDM)的动态本构模型,该模型是最近针对这两种材料开发的。该模型包含一个动态增加因子(考虑应变率效应)和一个残余强度因子(使用STF流变特性和纱线拉出测试结果进行校准)。此外,模型还加入了温度效应,显著提高了模型在不同温度下的预测能力。利用该本构模型进行了弹道、低速冲击和准静态侵彻的数值模拟。仿真结果与现有实验数据在残余速度、载荷-位移曲线、破坏模式等方面吻合较好,验证了模型的准确性和有效性。参数化研究表明,弹鼻形状对两种材料的侵彻阻力均有显著影响。此外,STF浸渍织物在冲击过程中动员了更大的材料区域,从而提高了其相对于纯凯夫拉的穿透阻力,同时在相同能量条件下,在不同的冲击速度下也表现出更大的应变率敏感性
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引用次数: 0
A novel scaling method for assessing dynamic response distortions of thin plates induced by blast loads 一种评估爆炸荷载引起的薄板动态响应畸变的新型标度方法
IF 5.1 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-01-03 DOI: 10.1016/j.ijimpeng.2026.105637
Sijia Liu, Li Chen, Bin Feng
In the blast tests utilizing scaled models, precise control of the blast load is required to meet design specifications. However, achieving this precision is technically challenging. Deviations between the actual and intended blast loads can introduce significant error in extrapolating the prototype's response from the scaled model data. This error is referred to as load distortion. To address this issue, this study proposes a novel scaling method that accounts for load distortion based on an equivalent static load approach. Using a clamped one-way thin steel plate as a case study, dimensional analysis is first conducted to elucidate the physical mechanism underlying load distortion. Then, by applying the equivalent single-degree-of-freedom theory, an explicit relationship between the blast load and structural deformation is derived through the concept of an equivalent static load. A key innovation of this study is that the similarity between the maximum deformation responses of the scaled model and the prototype can be characterized by the product of the load distortion coefficient and the geometric scale factor. This allows for correction of the model's deformation response data, thereby achieving accurate prediction of the prototype's deformation response. The method's validity is confirmed through numerical simulations and shock tube experiments on clamped one-way thin steel plates. This approach successfully circumvents the technical challenge of precise blast load control, while providing a novel reference framework for quantifying the resulting load distortions.
在使用比例模型的爆炸试验中,需要精确控制爆炸载荷以满足设计规范。然而,实现这种精度在技术上是具有挑战性的。实际爆炸载荷与预期爆炸载荷之间的偏差可能会导致根据比例模型数据推断原型响应的重大误差。这种误差被称为负载失真。为了解决这个问题,本研究提出了一种新的缩放方法,该方法基于等效静态负载方法来考虑负载畸变。以夹紧单向薄钢板为例,首先进行了量纲分析,阐明了载荷变形的物理机制。然后,应用等效单自由度理论,通过等效静载荷的概念推导出爆炸载荷与结构变形之间的明确关系。该研究的一个关键创新之处在于,比例模型与原型的最大变形响应的相似性可以用荷载变形系数与几何比例因子的乘积来表征。这样可以对模型的变形响应数据进行校正,从而实现对原型变形响应的准确预测。通过对单向夹紧薄钢板的数值模拟和激波管实验,验证了该方法的有效性。这种方法成功地规避了精确爆炸载荷控制的技术挑战,同时为量化产生的载荷畸变提供了一种新的参考框架。
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引用次数: 0
Simplified two-DOF model-based analysis and design method for hybrid bar reinforced concrete beams under impact loading 基于简化二自由度模型的混合钢筋混凝土梁冲击荷载分析与设计方法
IF 5.1 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-01-03 DOI: 10.1016/j.ijimpeng.2026.105638
Qi Cao , Shuai-Fei Wei , Zhenji Wang , Rongxiong Gao
This study addresses the impact resistance design requirements for seawater and sea-sand concrete (SSC) structures in island-reef and offshore engineering. A hybrid reinforcement scheme combining glass fiber-reinforced polymer (GFRP) and stainless steel bars is investigated to leverage the corrosion resistance of FRP and the ductility of steel. Combining theoretical analysis with consideration of material strain rate effects, a tri-linear restoring force model for hybrid-reinforced beams under both static and dynamic loads was developed. Based on the experimental results, the impact process was simplified as a two-degree-of-freedom (TDOF) mass-spring model. An extensive parametric study encompassing 144 impact scenarios was conducted using the validated TDOF model. Based on the combined experimental and numerical data, empirical equations were derived for the characteristic points of the impact force time-history curve and for predicting the maximum mid-span deflection. The proposed simplified TDOF model and the associated empirical equations provide a practical and effective tool for the impact-resistant design of hybrid-reinforced SSC beams, offering significant theoretical support for the safety of marine structures.
本文研究了岛礁和近海工程中海水和海砂混凝土结构的抗冲击设计要求。为了充分利用玻璃纤维增强聚合物(GFRP)的耐腐蚀性能和钢的延性,研究了玻璃纤维增强聚合物(GFRP)与不锈钢棒的混合加固方案。结合理论分析,考虑材料应变率效应,建立了动、静荷载作用下混合配筋梁的三线性恢复力模型。基于实验结果,将冲击过程简化为两自由度质量-弹簧模型。使用经过验证的TDOF模型进行了包含144种影响情景的广泛参数研究。根据试验与数值相结合的数据,推导出了冲击力时程曲线特征点及最大跨中挠度预测的经验方程。所建立的简化TDOF模型及相关经验方程为混合配筋SSC梁的抗冲击设计提供了实用有效的工具,为海洋结构的安全设计提供了重要的理论支持。
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引用次数: 0
Effect of azimuthal prestress on kinetic penetration into soft matter 方位预应力对软物质动力学侵彻的影响
IF 5.1 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-01-03 DOI: 10.1016/j.ijimpeng.2025.105630
Alexandria Rogers , Jacob A. Rogers , Camden Clark , Justin W. Wilkerson
This study introduces a novel experimental technique for probing how prestress affects penetration dynamics in soft matter. The superimposed-shear impact (SSI) test introduces torsional preloading to an annular gel sample using a Taylor-Couette cell (TCC) prior to projectile impact. To validate the approach, two triblock copolymer gels of differing stiffness were subjected to four levels of TCC inner cylinder rotation (Ωi). Steel spheres of two diameters were used as projectiles. High-speed imaging tracked the projectile’s depth-time trajectory from contact through cavity pinch-off and rebound. Results demonstrate that increasing Ωi consistently reduced the maximum depth of penetration (DoP), independent of gel formulation or projectile size. The stiffer PMMA19 gel exhibited consistently lower DoP values than the PMMA9 gel for a given projectile size and Ωi. The smaller projectile produced shallower penetration and shorter interaction times with the material. Pre-shear also influenced cavity symmetry and projectile rebound behavior: higher Ωi caused pinch-off to occur more abruptly and, in some cases, enabled projectile escape via enhanced elastic recoil. Lastly, the classical elastic Froude number (Fe) was reformulated into a nonlinear elastic Froude number (Fne) to account for strain stiffening effects that are ubiquitous in soft matter. Plotting normalized DoP against Fne resulted in the data from all test conditions collapsing onto a single curve, aligning with established DoP-Fe scaling trends. The SSI technique thus provides a framework for studying penetration mechanics in preloaded viscoelastic solids that can support understanding, modeling, and control of biological tissues, engineered soft materials, and impact-resistant protective systems.
本文介绍了一种新的实验技术来探测预应力对软物质穿透动力学的影响。叠加剪切冲击(SSI)测试在弹丸撞击之前,使用Taylor-Couette电池(TCC)对环形凝胶样品进行扭转预压。为了验证该方法,对两种不同刚度的三嵌段共聚物凝胶进行了四种水平的TCC内柱旋转(Ωi)。两种直径的钢球被用作弹丸。高速成像跟踪了弹丸从接触到空腔挤压和反弹的深时轨迹。结果表明,增加Ωi会持续降低最大穿透深度(DoP),与凝胶配方或弹丸尺寸无关。对于给定的弹丸大小和Ωi,较硬的PMMA19凝胶的DoP值始终低于PMMA9凝胶。较小的弹丸产生较浅的穿透和较短的与材料的相互作用时间。预剪切也影响空腔对称性和弹丸反弹行为:更高的Ωi导致夹断发生更突然,在某些情况下,使弹丸通过增强弹性后坐力逃逸。最后,将经典弹性弗劳德数(Fe)重新表述为非线性弹性弗劳德数(Fne),以考虑软物质中普遍存在的应变硬化效应。将标准化的DoP与Fne进行对比,可以将所有测试条件下的数据压缩到一条曲线上,与已建立的DoP- fe缩放趋势一致。因此,SSI技术为研究预加载粘弹性固体中的渗透力学提供了一个框架,可以支持对生物组织、工程软材料和抗冲击保护系统的理解、建模和控制。
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引用次数: 0
Numerical simulation of temporary cavity dynamics in ballistic gelatin using the arbitrary Lagrangian-Eulerian Method 用任意拉格朗日-欧拉方法数值模拟弹道明胶中临时空腔动力学
IF 5.1 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-01-03 DOI: 10.1016/j.ijimpeng.2026.105635
Genlin Mo , Haitao Lu , Li Liu , Weiyu He
This study investigates the wounding potential of spherical fragments using numerical simulation with ballistic gelatin, a standard tissue simulant in wound ballistics. The large deformation of the gelatin was simulated utilizing the Arbitrary Lagrangian-Eulerian (ALE) formulation. Impacts of two spherical fragments were analyzed: one with a diameter of 3 mm at an initial velocity of 651 m/s, and the other with a diameter of 4.76 mm at 1150 m/s. The simulation results demonstrated that the 3 mm fragment was trapped within the gelatin block, whereas the 4.76 mm fragment penetrated through it. The evolution of the temporary cavity showed good agreement with experimental observations. The relationship between the fragment's velocity and the maximum pressure preceding it was elucidated. The model also revealed that high volumetric tensile stresses, which are capable of inducing severe tissue injury, can develop in the gelatin. Furthermore, the simulations highlight that atmospheric pressure is a critical factor that must be accounted for in accurate modeling of temporary cavity formation.
本研究利用弹道学中标准组织模拟物——弹道明胶进行数值模拟,研究球形破片的致伤潜能。利用任意拉格朗日-欧拉公式模拟了明胶的大变形。分析了直径为3mm、初速度为651 m/s的球形碎片和直径为4.76 mm、初速度为1150 m/s的球形碎片的撞击。模拟结果表明,3mm的碎片被困在明胶块中,而4.76 mm的碎片穿透了明胶块。临时空腔的演变与实验观察结果吻合较好。阐明了破片速度与破片前最大压力的关系。该模型还显示,高体积拉伸应力,能够诱导严重的组织损伤,可以在明胶中发展。此外,模拟强调大气压力是临时空洞形成精确建模必须考虑的关键因素。
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引用次数: 0
Multiphysics non-ordinary state-based peridynamics for modeling non-shock ignition of PBX PBX非激波点火多物理场非普通状态动力学模型
IF 5.1 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-01-03 DOI: 10.1016/j.ijimpeng.2026.105634
Tianyu Ren , Xiaoliang Deng , Fei Han , Qian Wang
This paper presents a mechanical-thermal-chemical coupled multiphysics non-ordinary state-based peridynamics (NOSBPD) computational framework for investigating the non-shock ignition behavior of polymer-bonded explosives (PBXs). To combine the rate-dependent Johnson-Cook plastic constitutive model and the Arrhenius chemical reaction heat release model with nonlocal peridynamic enables the rigorous modeling of non-shock ignition behaviors of PBX charge, overcoming the challenges faced by the existing simulation techniques. Within such framework, a series of complicated processes such as dynamic deformation and fracture, crack nucleation and propagation, friction between crack surfaces, plastic dissipation, heat conduction, and crystal chemical reaction can be simulated in a simultaneous manner. The proposed approach is validated through classic examples including Kalthoff-Winkler (KW) impact and Taylor-bar impact tests. The predictive capability of the proposed approach is further demonstrated by modeling of the Steven test of PBX. The simulation results exhibit good agreement with both previous experimental and numerical results with respect to temperature evolution, pressure history, as well as critical impact velocity for ignition. In addition, the influences of impact velocities, explosive thicknesses, and projectile shapes on the ignition response of the PBX were analyzed, providing a deep and thoughtful understanding of ignition behaviors of PBX. The proposed multiphysics computational framework advances the development of non-shock ignition models and also can be utilized to guide the design of PBXs charges.
本文提出了一个机械-热-化学耦合的多物理场非常态周动力学(NOSBPD)计算框架,用于研究聚合物粘结炸药(PBXs)的非激波点火行为。结合速率相关的Johnson-Cook塑性本构模型和非局部周动力学的Arrhenius化学反应放热模型,可以对PBX电荷的非激波点火行为进行严格的建模,克服了现有模拟技术面临的挑战。在此框架下,可以同时模拟动态变形与断裂、裂纹形核与扩展、裂纹表面摩擦、塑性耗散、热传导、晶体化学反应等一系列复杂过程。通过Kalthoff-Winkler (KW)冲击试验和Taylor-bar冲击试验验证了该方法的有效性。通过对PBX的Steven测试进行建模,进一步验证了该方法的预测能力。模拟结果与以往的实验和数值结果在温度演变、压力历史和点火临界冲击速度方面都有很好的一致性。此外,还分析了冲击速度、炸药厚度和弹丸形状对PBX点火响应的影响,为PBX的点火行为提供了深入而有思想的认识。所提出的多物理场计算框架促进了非激波点火模型的发展,也可用于指导pbx装药的设计。
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引用次数: 0
Investigation into the penetration mechanism of a rigid long rod into a semi-infinite metallic target 刚性长杆侵彻半无限金属靶的机理研究
IF 5.1 2区 工程技术 Q1 ENGINEERING, MECHANICAL Pub Date : 2026-01-03 DOI: 10.1016/j.ijimpeng.2026.105636
Canwei Zhu, Tianbao Ma
Metallic materials are widely employed as armor target materials, making the investigation of their penetration mechanisms critically important. In this study, we develop a novel theoretical model of rigid projectile penetrating into semi-infinite metal target. The model constructs a two-dimensional velocity field in the target material based on the mass conservation equation, while incorporating the effects of strain hardening, strain rate, and thermal softening into the radial stress formulation within the plastic region. Using the above mentioned velocity field, the momentum equation is accurately solved in the elastic and plastic region, the stress field is obtained, the force exerted on the projectile is approximated, and the equation of motion is solved numerically to ultimately determine the penetration depth. Subsequently, the theoretical predictions of the proposed approximation method are compared with experimental data on normal penetration in metal target. The results demonstrate that the calculations using the explicit Johnson–Cook constitutive relationship exhibit excellent agreement with the experimental penetration depths of ogive–nosed rigid long rods penetrating into semi–infinite metal targets. Moreover, a comparison of different constitutive models in the plastic region reveals their influence on the deformation resistance. When the θ0 related to nose shape correlation parameter, falls within the range 0<θ090, the effect of strain rate on deformation resistance increases with θ0, whereas the effect of thermal softening first decreases and then increases slightly as θ0 increases. In addition, the proposed theoretical model proves that the inertial effect of the rigid projectile penetrating the semi-infinite metal target is negligible. However, a significant nonlinear correlation is observed between the penetration resistance and the impact velocity, the physical mechanism of which arises from the strain rate effect in the target material.
金属材料作为装甲靶材被广泛应用,对其侵彻机理的研究显得尤为重要。本文建立了一种新的刚性弹丸侵彻半无限金属靶的理论模型。该模型基于质量守恒方程构建了目标材料的二维速度场,同时将应变硬化、应变速率和热软化的影响纳入塑性区域内的径向应力公式。利用上述速度场,在弹塑性区域精确求解动量方程,得到应力场,近似求得弹丸所受的力,并对运动方程进行数值求解,最终确定侵彻深度。最后,将该近似方法的理论预测结果与金属靶法向侵彻的实验数据进行了比较。结果表明,采用显式Johnson-Cook本构关系计算的结果与楔形刚性长杆侵彻半无限金属靶材的实验深度具有很好的一致性。通过对塑性区不同本构模型的比较,揭示了不同本构模型对变形抗力的影响。当鼻形相关参数θ0落在0°<;θ0≤90°范围内时,应变率对变形阻力的影响随θ0的增大而增大,热软化的影响随θ0的增大先减小后略有增大。此外,该理论模型还证明了刚性弹丸侵彻半无限金属目标时的惯性效应可以忽略不计。然而,穿透阻力与冲击速度之间存在显著的非线性相关关系,其物理机制源于目标材料的应变率效应。
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引用次数: 0
期刊
International Journal of Impact Engineering
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