今日更新:International Journal of Solids and Structures 3 篇,Mechanics of Materials 1 篇,Thin-Walled Structures 3 篇
A nonlinear fractional viscoelastic constitutive model for time-dependent ratchetting of polyetherimide
Junye Wang, Kaijuan Chen, Guozheng Kang
doi:10.1016/j.ijsolstr.2025.113546
聚醚酰亚胺棘轮非线性分数黏弹性本构模型
The ratchetting of polyetherimide (PEI) exhibits significant time-dependence and loading history-dependence. Fractional derivative can better reflect the overall relaxation characteristics of polymeric molecular chains, which is an effective tool for constructing the constitutive models of polymers. Therefore, in this paper, a nonlinear fractional viscoelastic constitutive model was proposed to describe the ratchetting of the PEI. Firstly, stress-dependent nonlinear functions were introduced into the fractional Poynting-Thomson model (Long et al., 2018), and evolution equations for the fractional order and viscoelastic modulus related to the hydrostatic stress in the loading history were constructed. Then, by discretizing the proposed constitutive model, a numerical calculation method for the implementation of the constitutive model was derived, effectively avoiding the direct calculation of Gamma function and Mittag-Leffler function in the definition of fractional derivative. In addition, a method to determine the material parameters of the model was proposed. Finally, by comparing the simulated results with the experimental data in the literature (Pan et al., 2012), the proposed fractional constitutive model was validated. The results show that the nonlinear fractional viscoelastic constitutive model proposed in this paper can reasonably predict the time-dependent ratchetting of the PEI under different stress levels, stress rates, and peak stress holding times using only 9 physically meaningful parameters, rather than 35 parameters used in the integer-order constitutive model developed in the literature.
聚醚酰亚胺(PEI)的棘轮结构表现出明显的时间依赖性和加载历史依赖性。分数阶导数能较好地反映聚合物分子链的整体弛豫特性,是构建聚合物本构模型的有效工具。因此,本文提出了一种非线性分数黏弹性本构模型来描述PEI的棘轮。首先,将应力相关非线性函数引入分数阶Poynting-Thomson模型(Long et al., 2018),构建加载历史中与静水应力相关的分数阶和粘弹性模量演化方程。然后,通过对所提出的本构模型进行离散化,推导了实现本构模型的数值计算方法,有效地避免了在定义分数阶导数时直接计算Gamma函数和Mittag-Leffler函数。此外,提出了一种确定模型材料参数的方法。最后,将模拟结果与文献中的实验数据(Pan et al., 2012)进行对比,验证分数阶本构模型的有效性。结果表明,本文提出的非线性分数阶粘弹性本构模型仅使用9个有物理意义的参数就可以合理地预测PEI在不同应力水平、应力速率和峰值应力保持时间下的随时间棘轮,而不是文献中开发的整阶本构模型所使用的35个参数。
An elastic-boundary-controlled framework for on-demand stability switching in bistable curved beam metamaterials
P.Q. Li, Y.S. Wang, K.F. Wang, B.L. Wang
doi:10.1016/j.ijsolstr.2025.113542
双稳弯曲束超材料按需稳定切换的弹性边界控制框架
This study presents a framework for on-demand stability switching in bistable curved beam metamaterials through the control of elastic boundaries. Theoretical model is derived to quantify the relationship between boundary stiffness (axial and transverse) and key performance metrics, including negative stiffness, bistability, and hysteresis characteristics. A bistable structure with designable axial and transverse elastic boundaries is developed. Theoretical model and experimental results demonstrate that adjusting axial elastic boundaries enables precise transitions between bistable, negative-stiffness, and monostable states, while transverse elastic boundaries govern hysteresis behavior and energy dissipation efficiency. Meanwhile, the synergistic interaction between axial and transverse elastic boundaries, combined with nonlinear elastic constraints, further enhances tunability, achieving controllable localized dissipation phenomena and a 10.7% increase in maximum energy dissipation efficiency compared to linear elastic boundaries. This work lays the foundation for programmable multistable metamaterials from the perspective of elastic constraints, with potential applications in energy-adaptive structures, soft robotics, and mechanical logic systems.
本文提出了一种通过弹性边界控制实现双稳态弯曲梁超材料按需稳定性切换的框架。导出理论模型来量化边界刚度(轴向和横向)与关键性能指标之间的关系,包括负刚度、双稳定性和迟滞特性。建立了具有可设计的轴向和横向弹性边界的双稳结构。理论模型和实验结果表明,调整轴向弹性边界可以实现双稳态、负刚度和单稳态之间的精确转换,而横向弹性边界控制滞回行为和能量耗散效率。同时,轴向和横向弹性边界之间的协同作用,结合非线性弹性约束,进一步增强了可调性,实现了可控的局部耗散现象,最大能量耗散效率比线性弹性边界提高了10.7%。这项工作从弹性约束的角度为可编程多稳态超材料奠定了基础,在能量自适应结构、软机器人和机械逻辑系统中具有潜在的应用前景。
Towards design of a nonlocal metasurface with highly broadening bandwidth for omnidirectional vibration isolation
Jiali Cheng, Qiaofeng Xie, Bing Li
doi:10.1016/j.ijsolstr.2025.113547
面向全向隔振的高宽频带非局部超表面设计
As an advanced and potent emerging component for the manipulation of elastic waves, the design of passive elastic metasurfaces is predominantly constrained by narrow bandwidth limitations, posing formidable challenges for practical engineering applications. Recently, nonlocal metasurfaces have gained prominence in acoustics and optics, leveraging long-range coupling effects to induce nontrivial wave manipulation phenomena. However, research on elastic wave manipulation has predominantly concentrated on decoupled local metasurfaces, neglecting the coupling interactions between unit cells, which restricts the demonstration of broadband characteristics. It is imperative to comprehensively consider the long-range forces between unit cells to achieve robust, integrally formed, and structurally simple broadband elastic wave manipulation. This paper proposes an analytical lattice model and a broadband vibration isolation elastic metasurface design paradigm predicated on nonlocal mechanisms. The proposed nonlocal metasurface achieves omnidirectional broadband vibration isolation through phase modulation and impedance modulation by establishing meticulously designed connections between unit cells, utilizing the multi-objective evolutionary optimization algorithm (NSGA-III). A multi-degree of freedom equivalent model containing the coupled structures is developed to theoretically elucidate the impact of nonlocal physical effects on the dynamic response of the metasurface. An irregularly shaped vibration-isolation cage was designed, and its omnidirectional broadband elastic wave isolation capability was validated through numerical simulations and experiments. This strategy provides a reliable and effective approach to extending the operational bandwidth of existing local metasurfaces, thereby facilitating broadband elastic wave manipulation metasurface for diverse application scenarios
无源弹性超表面作为一种先进而有力的弹性波操纵新兴元件,其设计主要受限于窄带宽的限制,对实际工程应用提出了巨大的挑战。最近,非局部超表面在声学和光学中获得了突出的地位,利用远程耦合效应来诱导非平凡波操纵现象。然而,弹性波操纵的研究主要集中在解耦的局部超表面上,忽略了单元胞之间的耦合相互作用,这限制了宽带特性的展示。为了实现稳健的、整体形成的、结构简单的宽带弹性波操纵,必须全面考虑单元胞之间的远程力。本文提出了一种基于非局部机构的解析晶格模型和宽频带隔振弹性超表面设计范式。本文提出的非局部超表面利用多目标进化优化算法(NSGA-III),通过精心设计单元胞之间的连接,通过相位调制和阻抗调制实现全向宽带隔振。建立了包含耦合结构的多自由度等效模型,从理论上阐述了非局部物理效应对超表面动力响应的影响。设计了异形隔振笼,通过数值模拟和实验验证了其全向宽带弹性隔振能力。该策略为扩展现有局部元表面的操作带宽提供了一种可靠有效的方法,从而促进了宽带弹性波操作元表面的多样化应用场景
A Semi-Analytical Approach to Mode-I Stress Intensity Factor and Fracture Energy of a Circular Crack in a Poroviscoelastic Medium
Yu-Yun Lin
doi:10.1016/j.mechmat.2025.105422
孔粘弹性介质中圆裂纹i型应力强度因子和断裂能的半解析方法
This paper presents a semi-analytical method to evaluate the mode-I stress intensity factor and fracture energy for a circular crack in a poroviscoelastic medium under axisymmetric strain conditions. The analysis employs the Laplace-Hankel transform technique and displacement functions to address the coupling of viscoelasticity and fluid drainage. A closed-form expression for the stress intensity factor is derived in the Laplace domain and numerically inverted to the time domain. The method is applied to both impermeable and permeable cracks under constant remote stress, and the instantaneous fracture energy is determined from the stress intensity factor. To validate the semi-analytical findings, a finite element model incorporating cohesive zone elements is developed, and the J-integral is used to compute the instantaneous fracture energy. Results indicate that fluid drainage leads to time-dependent increases in the stress intensity factor and fracture energy, influenced by changes in the effective Poisson’s ratio and medium thickness. For materials with viscoelastic relaxation times much longer than drainage times, the stress intensity factor stabilizes after drainage, while fracture energy continues to evolve. This framework provides significant insights into the time-dependent fracture behavior of circular cracks in poroviscoelastic media, incorporating the effects of finite thickness.
本文提出了一种计算轴对称应变条件下孔粘弹性介质中圆裂纹i型应力强度因子和断裂能的半解析方法。该分析采用Laplace-Hankel变换技术和位移函数来解决粘弹性与流体排水的耦合问题。在拉普拉斯域中导出了应力强度因子的封闭表达式,并在时域上进行了数值反演。该方法适用于恒定远应力作用下的透水和不透水裂缝,由应力强度因子确定瞬时断裂能。为了验证半解析结果,建立了包含黏聚区单元的有限元模型,并采用j积分计算瞬时断裂能。结果表明:受有效泊松比和介质厚度变化的影响,排液导致应力强度因子和裂缝能随时间增加;对于粘弹性松弛时间远长于排水时间的材料,排水后应力强度因子趋于稳定,而断裂能继续演化。考虑有限厚度的影响,该框架为孔粘弹性介质中圆形裂纹随时间变化的断裂行为提供了重要见解。
Improvement of inter-fiber failure theories for fiber reinforced plastics: Theoretical and experimental assessment
Xiaofei Pang, Shufeng Zhang, Zhengwei Fan, Yonglyu He, Xun Chen
doi:10.1016/j.tws.2025.113639
纤维增强塑料纤维间破坏理论的改进:理论与实验评估
A reliable and tried-and-true failure theory for fiber reinforced plastics not only requires high prediction accuracy, but also needs to have reasonable mathematical and physical logicality. On the basis of comprehensive analysis of various failure theories, a reasonable improvement method for the inter-fiber failure criterion of fiber reinforced plastics is proposed. The inter-fiber failure criterion proposed in this improvement method are based on the theory of fracture surface, and their coefficients can be fully determined by the uniaxial transverse tensile strength, transverse compressive strength longitudinal shear strength without the need for any empirical parameters or multiaxial mechanical tests. Additionally, it denied the idea that equi-biaxial compressive strength is infinite which has better logically and significantly increases theoretical consistency of the failure criterion. The proposed criterion was rigorously benchmarked against other failure criteria through systematic comparison of predicted and experimental failure envelopes under four different stress states. Validation encompassing both literature-derived datasets (13 cases) and off-axis tests revealed strong predictive consistency, and the prediction errors were quantitatively evaluated with the smallest value of 0.58% and largest value of 13.32% among different composites. This proposed failure criterion has a more rational mathematical expression, which has certain theoretical significance for failure predictions and structural design of aerospace FRP components.
一个可靠的、经过验证的纤维增强塑料失效理论不仅要求预测精度高,而且要求具有合理的数学和物理逻辑性。在综合分析各种破坏理论的基础上,对纤维增强塑料纤维间破坏准则提出了合理的改进方法。该改进方法提出的纤维间破坏准则基于断裂面理论,其系数完全可以由单轴横向抗拉强度、横向抗压强度、纵向抗剪强度确定,无需任何经验参数或多轴力学试验。否定了等双轴抗压强度无穷大的观点,具有较好的逻辑合理性,显著提高了破坏准则的理论一致性。通过对四种不同应力状态下的预测破坏包络和实验破坏包络进行系统比较,对所提出的准则进行了严格的基准测试。文献衍生数据集(13例)和离轴试验的验证均显示出较强的预测一致性,不同组合物的预测误差最小为0.58%,最大为13.32%。提出的失效准则具有更合理的数学表达式,对航空航天FRP构件的失效预测和结构设计具有一定的理论意义。
Dynamic response and protective efficacy evaluation of Multi-airbag/PU composite structures under external explosion
Mengqi Yuan, Jiaqi Bai, Shaobo Qi, Menglu Li, Ying Zhou, Mingzhu Zhu, Ke Yan, Hao Chen
doi:10.1016/j.tws.2025.113641
多气囊/PU复合结构外爆动态响应及防护效能评价
A three-layer “Multi-airbag” has been designed to be used in conjunction with a polyurethane (PU) panel to mitigate explosive loads. By using an aluminum plate as a witness target, the blast response characteristics and protective effectiveness of the inflated composite structure were investigated through far-field explosion tests and numerical simulations. split hopkinson tension bar (SHTB) tests were conducted on the aluminum plate, and the Johnson-Cook constitutive model was employed for fitting. The P-I damage evaluation model of the aluminum plate was optimized, and the influence of the pressure gradient and the PU/Multi-airbag relative position on the damage to the aluminum plate and the protective capability of the inflated composite structure was studied. The results suggest that when subjected to shock wave loading, the Multi-airbag undergoes a layer-by-layer deformation pattern, with the primary deformation region forming a "V" shape. Regarding the internal pressure gradient inside the airbag, the protective effectiveness follows the order: increasing gradient > uniform pressure > decreasing gradient. When the PU panel is placed above the airbag, the final internal energy of the aluminum plate decreases significantly by 29.0% compared to GP2(F2). The presence of the inflated composite structure significantly reduces the extent of damage to the aluminum plate. When the aluminum plate is protected by the Multi-airbag, its damage factor (Ds) is reduced by 56.2%. This study provides a basis for the design of lightweight composite protective structures for key cabins and buildings.
一个三层的“多重安全气囊”被设计成与聚氨酯(PU)面板一起使用,以减轻爆炸负荷。以铝板为见证靶,通过远场爆炸试验和数值模拟研究了充气复合材料结构的爆炸响应特性和防护效果。对铝板进行hopkinson拉伸杆(SHTB)试验,采用Johnson-Cook本构模型进行拟合。优化了铝板的P-I损伤评价模型,研究了压力梯度和PU/ multi安全气囊相对位置对铝板损伤及充气复合材料结构防护能力的影响。结果表明:在激波载荷作用下,multi -安全气囊呈逐层变形,主要变形区域呈“V”形;对于气囊内部压力梯度,其防护效果为梯度递增>均匀压力>递减梯度。当PU板置于安全气囊上方时,铝板的最终内能较GP2(F2)显著降低29.0%。充气复合结构的存在显著降低了铝板的损伤程度。采用multi -气囊保护铝板时,其损伤系数(Ds)降低56.2%。本研究为关键舱室及建筑物轻量化复合防护结构的设计提供了依据。
Multiple impacts behavior of Nomex honeycomb sandwich structures with elastomer-enhanced CFRP skins
Zhe Ma, Zhongyu Li, Yiqun Liu, Jiqiang Hu, Jianfeng Wang, Yang Gao, Bing Wang
doi:10.1016/j.tws.2025.113642
Nomex蜂窝夹层结构弹性体增强CFRP表皮的多重冲击性能
Elastomers demonstrate significant potential for enhancing the impact resistance of lightweight structures. CFRP/Nomex honeycomb sandwich structures, widely applied in aerospace engineering, require particular focus on improving their impact resistance. The study introduces elastomeric interlayers into the skin of CFRP/Nomex honeycomb sandwich structures for the first time, employing a combined experimental- numerical approach to investigate the multiple impact behavior of this novel configuration. Firstly, multiple low-velocity impacts tests were conducted on both the novel and conventional sandwich structures. Secondly, finite element models were built for simulating multiple impacts on the novel sandwich structure. Thirdly, the damage mechanisms and energy dissipation of the novel sandwich structure under multiple impacts were thoroughly investigated. Finally, the validated numerical models were further used to explore other multiple impacts conditions. Results demonstrate that the elastomers significantly enhance the multiple impact resistance of CFRP/Nomex honeycomb sandwich structures. The key contributions of this study include the experimental characterization of multiple low-velocity impact behaviors in novel sandwich structures and the numerical assessment of their damage mechanisms.
弹性体在增强轻型结构的抗冲击性方面显示出巨大的潜力。CFRP/Nomex蜂窝夹层结构在航空航天工程中应用广泛,其抗冲击性能的提高尤为重要。该研究首次将弹性夹层引入CFRP/Nomex蜂窝夹层结构的表皮,采用实验-数值相结合的方法研究了这种新型结构的多重冲击行为。首先,对新型和传统夹层结构进行了多次低速冲击试验。其次,建立有限元模型,模拟对新型夹层结构的多重冲击;再次,深入研究了多重冲击作用下新型夹层结构的损伤机理和能量耗散。最后,将验证的数值模型进一步用于探索其他多重冲击条件。结果表明,弹性体的加入显著提高了CFRP/Nomex蜂窝夹层结构的抗多次冲击性能。本研究的主要贡献包括新型夹层结构的多种低速冲击行为的实验表征和其损伤机制的数值评估。