今日更新:International Journal of Solids and Structures 1 篇,Thin-Walled Structures 1 篇
A visco-hyperelastic model for hydrogels with different water content and its finite element implementation
Ruijie Lin, Shuai Xu, Zishun Liu
doi:10.1016/j.ijsolstr.2024.112761
不同含水量水凝胶的粘弹性模型及其有限元实现
The visco-hyperelastic properties of hydrogels, which are greatly influenced by water content, play a crucial role in the potential applications in cutting-edge fields. Therefore, quantifying the effect of water content on the visco-hyperelastic behavior of hydrogels is necessary. In this work, we have proposed a visco-hyperelastic constitutive model which considers the water content for large deformation of hydrogels by introducing internal variables that can characterize the viscous dissipation. In the model, the evolution equation of the internal variable is established to achieve the coupling of viscoelastic and hyperelastic responses. To further understand the influence of water content on the visco-hyperelastic behavior of hydrogels, we modified the power-law relationship between water content and initial modulus through experiments. The accuracy of our visco-hyperelastic model is validated by uniaxial tension and relaxation experiments on hydrogels with varying water content. To facilitate the application of the constitutive model, we implement the constitutive model into ABAQUS user subroutine UMAT through constructing linear interpolation function. The results of the finite element analysis further confirm the capability of proposed model to describe the viscoelastic response of hydrogels under complex loading conditions.
水凝胶的粘弹性受含水量的影响很大,对其在尖端领域的潜在应用起着至关重要的作用。因此,有必要量化水含量对水凝胶粘弹性行为的影响。在这项工作中,我们提出了一种粘-超弹性构造模型,该模型通过引入可表征粘性耗散的内部变量,考虑了水凝胶大变形时的含水量。在该模型中,建立了内部变量的演化方程,以实现粘弹性响应和超弹性响应的耦合。为了进一步了解含水量对水凝胶粘弹-超弹性行为的影响,我们通过实验修正了含水量与初始模量之间的幂律关系。通过对不同含水量的水凝胶进行单轴拉伸和松弛实验,验证了我们的粘弹性模型的准确性。为了便于应用该构成模型,我们通过构建线性插值函数将该构成模型应用到 ABAQUS 用户子程序 UMAT 中。有限元分析的结果进一步证实了所提出的模型能够描述水凝胶在复杂加载条件下的粘弹性响应。
Multi-objective optimization and theoretical analysis of re-entrant structure with enhanced mechanical properties
Xi Hai Ni, Xing Chi Teng, Wei Jiang, Yi Zhang, Xin Ren
doi:10.1016/j.tws.2024.111791
具有更佳力学性能的重入角结构的多目标优化和理论分析
In response to the challenge of low stiffness and energy absorption capacity, various designs of negative Poisson's ratio (NPR) structures have emerged. However, these designs often lack a comprehensive analysis of other mechanical properties, leading to subpar mechanical performance. Previous studies have explored the mechanical properties response of enhanced re-entrant honeycombs (ERH) under impact conditions, revealing limitations in optimizing the structure's performance with a single objective. Therefore, this study aims to enhance ERH structural parameters to achieve superior mechanical performance through theoretical derivations and geometric optimizations. The results demonstrate that the proposed theoretical model is consistent with finite element analysis and response surface (RS) predictions. Expressions for Young's modulus, Poisson's ratio, specific energy absorption, and compressive strength are proposed, facilitating the identification of structural parameters that meet specific requirements during reverse design. Furthermore, a multi-objective optimization approach optimizes the geometric parameters based on maximum energy absorption and absorption ratio. The mechanical behavior of the optimized ERH is investigated using the finite element method, revealing the energy absorption capacity of 13.78 J/g while maintaining Poisson's ratio at -1.06. Additionally, the deformation mode of the optimized structure showcases enhanced stability compared to traditional honeycomb structures. The theoretical model and RS method were used to guide the design of ERH and promote the application of NPR structures.
为了应对低刚度和能量吸收能力的挑战,出现了各种负泊松比(NPR)结构设计。然而,这些设计往往缺乏对其他机械性能的全面分析,导致机械性能不佳。以往的研究探讨了增强型再入蜂窝(ERH)在冲击条件下的机械性能响应,发现了以单一目标优化结构性能的局限性。因此,本研究旨在通过理论推导和几何优化来增强 ERH 结构参数,从而实现优异的机械性能。结果表明,所提出的理论模型与有限元分析和响应面(RS)预测一致。提出了杨氏模量、泊松比、比能量吸收和抗压强度的表达式,有助于在逆向设计过程中确定符合特定要求的结构参数。此外,一种多目标优化方法根据最大能量吸收和吸收比优化了几何参数。利用有限元法研究了优化后 ERH 的力学行为,结果表明,在保持泊松比为 -1.06 的情况下,ERH 的能量吸收能力为 13.78 J/g。此外,与传统蜂窝结构相比,优化结构的变形模式显示出更强的稳定性。该理论模型和 RS 方法可用于指导 ERH 的设计,并促进 NPR 结构的应用。