【新文速递】2026年5月8日固体力学SCI期刊最新文章

今日更新：International Journal of Solids and Structures 4 篇，Mechanics of Materials 2 篇，International Journal of Plasticity 1 篇，Thin-Walled Structures 2 篇

International Journal of Solids and Structures

Eigenstrain tomography for robust reconstruction of residual stresses from noisy polycrystalline diffraction projections with Tikhonov-type Laplacian s moothing

Fatih Uzun, Alexander M. Korsunsky

doi:10.1016/j.ijsolstr.2026.114069

基于tikhonov型拉普拉斯平滑的噪声多晶衍射投影残馀应力特征应变层析成像鲁棒重建

Residual stress reconstruction from high-energy diffraction data is often compromised by noise and outliers arising from poor grain statistics in polycrystalline measurements. This study introduces a robust workflow in which quadratic Tikhonov-type Laplacian s moothing is applied directly to lattice-strain projection data prior to mechanics-informed eigenstrain tomography. Although the eigenstrain framework can incorporate all tensor components of measured strain, a deliberately minimal and experimentally economical implementation is demonstrated using only the axial lattice-strain component from two orthogonal projections of a water-quenched AA6082 aluminium bar. The influence of the s moothing parameter on the reconstructed three-dimensional stress field is examined systematically to distinguish genuine quench-induced stress gradients from noise-driven spatial oscillations. A physics-informed admissibility criterion is introduced to select this parameter by constraining the reconstructed peak von Mises stress within the tensile strength limits of the quenched material. This approach suppresses non-physical high-frequency artefacts while preserving the macroscopic Type I residual stress distribution, thereby improving robustness to experimental noise without addressing the fundamental non-uniqueness of the inverse eigenstrain problem under limited measured components.

在多晶测量中，高能衍射数据的残余应力重建常常受到噪声和异常值的影响。本研究引入了一个鲁棒的工作流程，其中二次tikhonov型拉普拉斯平滑直接应用于晶格应变投影数据，然后再进行力学特征应变断层扫描。尽管本征应变框架可以包含测量应变的所有张量分量，但仅使用来自水淬AA6082铝棒的两个正交投影的轴向晶格应变分量，证明了一个经过精心设计的最小且实验经济的实现。系统地研究了平滑参数对重建三维应力场的影响，以区分真正的淬火引起的应力梯度和噪声驱动的空间振荡。通过将重构峰von Mises应力约束在淬火材料的抗拉强度范围内，引入了物理允许准则来选择该参数。该方法在保留宏观I型残余应力分布的同时抑制了非物理高频伪像，从而提高了对实验噪声的鲁棒性，而没有解决在有限测量分量下逆特征应变问题的基本非唯一性。

A quasi-3D reduced-order model with improved complex potentials for interfacial shear stress in scarf-repaired composites

Zhenyu Wang, Han Yan, Yinghua Liu, Zhengmao Yang

doi:10.1016/j.ijsolstr.2026.114064

带修复复合材料界面剪切应力复合势的准三维降阶模型

This study addresses the challenge of predicting interfacial shear stress distribution in adhesively bonded scarf-repaired composites subjected to far-field in-plane loading. A quasi-3D semi-an alytical reduced-order model is developed by combining orthotropic complex potentials for the in-plane dominant field with a third-order through-thickness enrichment for leading-order interface shear shear effects. The bonded scarf region is discretized into concentric annular subdomains to represent radial stiffness gradation, while interface equilibrium and displacement compatibility are enforced in a weighted least-squares sense. Direct comparisons with 3D finite element simulations show that the proposed model predicts the dominant interfacial shear-transfer pattern with good accuracy for thin laminates, s mall scarf angles, and thin adhesive layers, and the relative error of peak interfacial shear stress remains below 6.1%. The framework is intended for membrane/shear-dominated load transfer rather than general transverse loading, bending-dominated response, or full local 3D field reconstruction.

本研究解决了在远场面内载荷作用下，预测粘接带状修复复合材料界面剪切应力分布的挑战。将平面内优势场的正交各向异性复势与导阶界面剪切效应的三阶厚度富集相结合，建立了准三维半解析降阶模型。将键合带区域离散为同心环形子域，表示径向刚度梯度，并以加权最小二乘的方式实现界面平衡和位移相容。与三维有限元模拟结果的直接比较表明，该模型对薄层板、小围带角和薄粘接层的界面剪切传递模式具有较好的预测精度，峰值界面剪切应力的相对误差保持在6.1%以下。该框架旨在用于膜/剪切主导的载荷传递，而不是一般的横向载荷，弯曲主导响应或全局部3D场重建。

Experimental determination of initial anisotropy and development of the yield surface of Inconel 718 superalloy produced by additive manufacturing

M. Korinek, R. Halama, A. Toskova, J. Hajnys, R. Owsiński, K. Moj

doi:10.1016/j.ijsolstr.2026.114063

增材制造Inconel 718高温合金初始各向异性及屈服面发展的实验研究

The increasing use of additively manufactured superalloys like Inconel 718 in high-performance applications requires a precise understanding of their mechanical behavior under complex, multiaxial stress states. This work presents a comprehensive experimental study to characterize the initial anisotropy and subsequent yield surface evolution of Inconel 718 produced by the selective laser melting process. The initial and subsequent yield surfaces were determined using a direct tracing method on thin-walled tubular specimens subjected to combined axial-torsional loading. The results reveal that the as-printed material exhibits significant initial anisotropy. The yield surface deviates substantially from the von Mises criterion, taking on a distorted elliptical shape with a significantly higher yield strength in torsion than in tension. Furthermore, a distinct kinematic effect was observed in the initial state, with the yield surface center consistently shifted into the compressive quadrant, a likely consequence of manufacturing-induced residual stresses. The evolution of the yield surface under plastic prestrain was found to be highly path-dependent. Torsional prestrain induced a combination of kinematic hardening and cross-effect softening, while combined loading paths resulted in complex distortions involving both elongation and rotation of the yield surface. The findings demonstrate that classical plasticity formulations, even those incorporating kinematic hardening, are inadequate for accurately predicting the behavior of this material due to their inherent assumption of an initial isotropic shape and their inability to capture shape distortion. For the reliable design and structural integrity assess ment of components, it is essential to employ advanced constitutive models that incorporate initial anisotropy as well as complex distortional and kinematic hardening rules.

在高性能应用中越来越多地使用增材制造的高温合金，如Inconel 718，需要精确了解其在复杂的多轴应力状态下的机械行为。本文对选择性激光熔化制备的Inconel 718的初始各向异性和随后屈服面演变进行了全面的实验研究。采用直接示踪法确定了受轴扭联合载荷作用的薄壁管状试件的初始屈服面和后续屈服面。结果表明，打印材料表现出明显的初始各向异性。屈服面基本上偏离了von Mises准则，呈现出扭曲的椭圆形状，扭转屈服强度明显高于拉伸屈服强度。此外，在初始状态下观察到明显的运动学效应，屈服面中心始终转移到压缩象限，这可能是制造引起的残余应力的结果。塑性预应变作用下屈服面的演化具有高度的路径依赖性。扭转预应变导致了运动硬化和交叉效应软化的结合，而组合加载路径导致了包括屈服面延伸和旋转在内的复杂变形。研究结果表明，经典塑性公式，即使是那些包含运动硬化的公式，也不足以准确预测这种材料的行为，因为它们固有的假设是初始各向同性形状，并且无法捕获形状畸变。为了对构件进行可靠的设计和结构完整性评估，必须采用先进的本构模型，该模型考虑了初始各向异性以及复杂的变形和运动硬化规律。

Spreading, adhesion, and pull-off of turgor-pressurized enclosed membranes on curved substrates

Maahi M. Talukder, Evelyn Washburn, Bahareh Behkam, Sohan Kale

doi:10.1016/j.ijsolstr.2026.114060

膨胀加压封闭膜在弯曲基板上的扩散、粘附和脱落

A quantitative theoretical framework for the adhesive contact of fully enclosed, inflated hyperelastic membranes on curved rigid substrates has remained lacking, despite its relevance to microbial adhesion and pressure-controlled elastic interfaces. Here we develop a variational framework for the adhesive contact of a pressurized spherical hyperelastic membrane of radius R and inflation pressure Δ P T on a rigid curved substrate of radius R s under axisymmetric setting to obtain the shape equations and contact-edge force balance relations for both frictionless and no-slip contact conditions. The equilibrium contact area A c follows the linear scaling A c / R e 2 = 4 π w a / ( Δ P T R ) , where w a is the work of adhesion and R e = ( 1 / R + 1 / R s ) − 1 is the effective contact radius, for contact sizes up to A c / R e 2 ≈ 1 , collapsing the dependences on inflation pressure and substrate curvature onto a single curve for s mall contact areas. Two limiting cases are identified that bound the pull-off force values: in the high-pressure, weak-adhesion regime the pull-off force approaches π w a R e , while in the low-pressure regime it approaches π w a R s for sufficiently curved substrates ( R s < R ). These results provide a quantitative foundation for inferring membrane stiffness and turgor pressure from contact measurements and for the rational design of surface textures to control adhesion of inflated membranes.

尽管它与微生物粘附和压力控制的弹性界面有关，但关于弯曲刚性基材上全封闭、充气超弹性膜的粘附接触的定量理论框架仍然缺乏。本文建立了轴对称条件下半径为R、膨胀压力为Δ P T的加压球形超弹性膜在半径为R s的刚性弯曲基底上的粘接接触变分框架，得到了无摩擦和无滑移接触条件下的形状方程和接触-边缘力平衡关系。平衡接触面积c遵循线性扩展的c / R e 2 = 4πw /(ΔP T R),其中w是粘附的作品和R e = (1 + 1 / R s)−1是有效接触半径,为接触尺寸到c / R e 2≈1,崩溃的依赖性对通胀压力和底物到一个曲线曲率小的接触区域。确定了约束拉脱力值的两种极限情况：在高压，弱粘附状态下，拉脱力接近π w a R e，而在低压状态下，对于充分弯曲的基材（R s < R），它接近π w a R s。这些结果为通过接触测量推断膜刚度和膨胀压力以及合理设计表面织构来控制膨胀膜的粘附性提供了定量基础。

Mechanics of Materials

The hyperelastic and visco-hyperelastic constitutive models with Mullins effect for polyurethane elastomer under moderate deformations

Yunwei Li, Yunhao Ma, Zhao Li, Xu Li, Sirong Zhu, Shilin Yan

doi:10.1016/j.mechmat.2026.105716

中等变形下含Mullins效应的聚氨酯弹性体超弹性和粘-超弹性本构模型

The mechanical behavior of a polyurethane elastomer under moderate deformation was investigated via cyclic loading-unloading tests at various strain rates and amplitudes, with specific attention for characterizing its stress softening performance. Two constitutive models were formulated, respectively to capture the hyperelasticity and visco-hyperelasticity with Mullins effect for this material. The first one, namely a hyperelastic model, integrates classical eight-chain hyperelastic model with the molecular network reconstruction assumption. Through this approach, the stable mechanical response of polyurethane in different deformation ranges (after eliminating Mullins effect) can be predicted from the initial cyclic loading-unloading data. The second one, namely a visco-hyperelastic model consists of two parallel networks which respectively describe the hyperelasticity and visco-hyperelasticity in loading-unloading stages, incorporating an improved viscous damage equation to capture the Mullins effect additionally. This model can accurately capture the cyclic loading-unloading responses of polyurethanes, including nonlinear stress–strain curves, hysteresis loop, and Mullins effect. The predictive performance of these two proposed constitutive models for describing the overall mechanical properties of polyurethane , respectively with and without viscoelasticity, is conceivably verified by the experimental data. It in fact provides a robust theoretical framework for predicting the steady performance of polyurethane in engineering applications.

通过不同应变速率和振幅的循环加载-卸载试验，研究了聚氨酯弹性体在中等变形下的力学行为，并特别关注其应力软化性能。建立了两个本构模型，分别描述了该材料的超弹性和粘-超弹性的Mullins效应。第一个模型是将经典八链超弹性模型与分子网络重构假设相结合的超弹性模型。通过该方法，可以从初始循环加载-卸载数据中预测聚氨酯在不同变形范围内（剔除马林斯效应后）的稳定力学响应。第二种是由两个平行网络组成的粘-超弹性模型，分别描述了加载-卸载阶段的超弹性和粘-超弹性，并引入了改进的粘性损伤方程来捕捉穆林斯效应。该模型可以准确地捕捉聚氨酯的循环加载-卸载响应，包括非线性应力-应变曲线、迟滞回线和Mullins效应。这两种本构模型的预测性能，分别描述粘弹性和无粘弹性的聚氨酯的整体力学性能，可以想象通过实验数据验证。它实际上为预测聚氨酯在工程应用中的稳定性能提供了一个强有力的理论框架。

Spalling Mechanis m of Concrete Aggregate under Freeze-Thaw Cycles: Experimental and Numerical Characterization

Gensheng Zeng, Yang Liu, Jianghong Mao, Xiangyun Liu, Yan Zhang

doi:10.1016/j.mechmat.2026.105727

冻融循环作用下混凝土骨料剥落机理：试验与数值表征

In cold regions, interface damage caused by freeze-thaw cycles is a critical factor affecting the durability of concrete structures. This study investigates the degradation of aggregate-mortar interfacial bonding properties through a combination of experimental and numerical approaches. A steel semi-ellipsoid was used to simulate aggregate behavior, and its performance was compared with that of real aggregates. A total of 45 specimens underwent freeze-thaw cycles (30 cycles per group), followed by pull-out tests to evaluate interfacial bond strength, fracture energy, and size effects. The results indicate that freeze–thaw-induced interface damage is predominantly shallow. After 30 cycles, the bond strength of the steel aggregate decreased by 50%, with a critical damage depth of 2-3 mm.In contrast, numerical extrapolation based on validated benchmark real aggregate interfacial parameters shows that real aggregates, which exhibit higher bond strength and fracture energy, have significantly better pull-out resistance, with a predicted improvement of 51.5%-65.2% compared to steel aggregates. Larger aggregates showed even greater enhancement (up to 65.2%) due to their increased effective bonding area. Numerical simulations further revealed that stress concentration in the surface layer, coupled with freeze–thaw deterioration, is the primary cause of interfacial damage. Moreover, variations in aggregate size and shape influence the effective bonding area and the migration path of pore water, exacerbating overall damage. This study elucidates the synergistic effects of aggregate size and interfacial parameters, providing theoretical support for freeze-resistant concrete design and material optimization in cold regions.

在寒冷地区，冻融循环引起的界面损伤是影响混凝土结构耐久性的重要因素。本文采用实验与数值相结合的方法对骨料-砂浆界面粘结性能的退化进行了研究。采用钢质半椭球体模拟骨料性能，并与实际骨料性能进行了比较。共45个试件进行了冻融循环（每组30个循环），然后进行了拉出试验，以评估界面结合强度、断裂能和尺寸效应。结果表明：冻融界面损伤以浅层损伤为主；经过30次循环后，钢骨料的粘结强度下降了50%，临界损伤深度为2 ~ 3 mm。相反，基于验证的基准真实骨料界面参数的数值外推表明，具有更高粘结强度和断裂能的真实骨料具有明显更好的抗拉拔能力，预计比钢骨料提高51.5% ~ 65.2%。较大的聚集体由于其有效结合面积的增加而表现出更大的增强（高达65.2%）。数值模拟进一步揭示了表层应力集中和冻融变质是导致界面破坏的主要原因。此外，骨料尺寸和形状的变化影响了有效粘结面积和孔隙水的迁移路径，加剧了整体破坏。本研究阐明了骨料粒径与界面参数的协同效应，为寒区抗冻混凝土设计和材料优化提供理论支持。

International Journal of Plasticity

Unified dislocation-informed crystal plasticity-phase field fracture model for nickel-based single crystal superalloys across wide temperatures

Ao Li, Weiping Hu, Zhixin Zhan, Qingchun Meng

doi:10.1016/j.ijplas.2026.104723

基于位错的镍基单晶高温合金塑性-相场断裂模型

Fracture of nickel-based single crystal superalloys across wide temperature regimes is a primary concern in aeroengine component design and service. The temperature-dependent mechanical behavior and failure mechanis ms pose significant challenges for establishing a unified model applicable over broad temperature ranges. This study proposes a two-phase dislocation-informed crystal plasticity-phase field framework to achieve a unified description of evolving physical mechanis ms across a wide temperature spectrum. Four distinct damage mechanis ms, including cleavage and slip in the γ' phase, and slip and voiding in the γ phase, are integrated within a single thermodynamically consistent system. The temperature-dependent plastic deformation of the γ and γ' phases is attributed to the activity of seven types of dislocation motion, all of which are incorporated into the constitutive equations. The continuous evolution of edge and screw dislocation densities in both phases leads to variations in dislocation configurations, which serve as microscopic carriers of damage and directly govern the evolution of phase field variables, thereby triggering crack initiation and subsequent propagation. The main contribution of this work lies in the first development of a two-phase model accounting for both edge and screw dislocation evolution in nickel-based superalloys, along with a unified treatment of four distinct damage mechanis ms. This approach physically bridges microscopic dislocation behavior, mesoscopic deformation, and macroscopic fracture across a wide temperature spectrum.

镍基单晶高温合金在宽温度范围内的断裂是航空发动机部件设计和使用中主要关注的问题。温度相关的力学行为和失效机制对建立适用于广泛温度范围的统一模型提出了重大挑战。本研究提出了一种基于两相位错的晶体塑性-相场框架，以实现对宽温度范围内不断发展的物理机制的统一描述。四种不同的损伤机制，包括γ′相的解理和滑移，以及γ相的滑移和空洞，被整合在一个单一的热力学一致的系统中。γ和γ′相的温度相关塑性变形归因于七种位错运动的活动性，所有这些都被纳入本构方程。两相中边位错和螺位错密度的不断演化导致位错构型的变化，作为损伤的微观载体，直接控制相场变量的演化，从而引发裂纹的起裂和扩展。这项工作的主要贡献在于首次开发了一种两相模型，用于计算镍基高温合金中边缘和螺位错的演变，以及对四种不同损伤机制的统一处理。这种方法在广泛的温度范围内物理地连接了微观位错行为、介观变形和宏观断裂。

Thin-Walled Structures

Quasi-Static Mode II Interlaminar Shear Behavior of Ultrahigh Molecular Weight (UHMWPE) Cross-Ply Film Composites

Frank D. Thomas, Subramani Sockalingam, Michael A. Sutton, C. Allan Gunnarsson, Tusit Weerasooriya, Stephen L. Alexander

doi:10.1016/j.tws.2026.115070

超高分子量（UHMWPE）交叉层合膜复合材料的准静态模式II层间剪切行为

UHMWPE cross-ply [0o/90o] thin film composites are emerging as an effective material for ballistic impact applications due to their high axial strength-to-weight ratio and favorable delamination properties. Mode-II interlaminar shear (ILS) fracture-driven delamination has been shown to significantly affect the ballistic performance of these composites as an energy absorption mechanis m. Therefore, accurately characterizing ILS behavior in these composites across a range of strain rates is essential to inform computational models. Since these composites are significantly thinner and weaker in both interlaminar shear and transverse tension than traditional carbon fiber epoxy composites, experimental characterization of the ILS Mode II behavior presents several challenges, even at quasi-static rates. Standard test methods/specimens such as end-notched flexure (ENF) undergoing bending loads for Mode II characterization, are generally applicable to composites with stronger interfacial properties. Conversely, ENF specimens with weaker interfaces typically exhibit undesired plastic collapse under such conditions. To address this issue, a novel experimental method using a pre-cracked lap shear-type composite (PLSC) specimen bonded to rigid substrates is developed. When subjected to simple shear loading, the rigid substrates convert tension to simple shear on pre-cracked rectangular specimens, resulting in a more controlled variant of typical single lap shear test specimens. Experiments using the PLSC specimen are performed using solid-state extruded UHMWPE Tensylon® HSBD30A at quasi-static loading rates. Experimental results indicate the mechanical response is initially linear, with significant late-stage nonlinearity and sudden ultimate failure. Images of the PLSC fracture surfaces indicate failure originates within the interfacial material between the UHMWPE film layers. Based on experimental observations and the relatively low yield stress for the soft interface region, uniform shear tractions are assumed throughout the interface region prior to crack initiation. Using the measured loads, assumed uniform shear traction, and measured crack tip tangential relative displacements obtained via digital image correlation, a trapezoidal traction-separation law is assumed and constructed. The trapezoidal traction-separation model parameters include an initial interfacial stiffness of 4.708±1.418MPa/µm, a maximum shear traction of 3.267±0.646MPa, a Mode II critical energy release rate of 69.6±18.8J/m2, and a final displacement of 26.09±4.75µm. The validity of the experimentally constructed traction-separation model is confirmed via finite element simulations of the experiments using cohesive zone modeling for the interfacial response. The simulation results showed good correlation with experimental data in terms of average shear stress and crack tip displacement.

超高分子量聚乙烯（UHMWPE）交叉层[0 /90]薄膜复合材料由于其高轴向强度重量比和良好的分层性能，正成为弹道冲击应用的有效材料。ii型层间剪切（ILS）断裂驱动的分层作为一种能量吸收机制，已被证明对这些复合材料的弹道性能有显著影响。因此，准确表征这些复合材料在应变速率范围内的ILS行为对于建立计算模型至关重要。由于这些复合材料明显比传统的碳纤维环氧复合材料更薄，在层间剪切和横向张力方面都更弱，因此即使在准静态速率下，对ILS模式II行为的实验表征也存在一些挑战。标准的测试方法/试样，如端缺口弯曲（ENF）承受弯曲载荷用于II型表征，通常适用于具有较强界面性能的复合材料。相反，具有较弱界面的ENF试样在这种条件下通常表现出不期望的塑性崩溃。为了解决这一问题，提出了一种将预裂搭接剪切型复合材料（PLSC）试件粘结在刚性基体上的实验方法。当受到简单剪切载荷时，刚性基底将预裂矩形试件上的拉力转换为简单剪切，从而产生典型单搭接剪切试件的更可控变体。使用PLSC样品的实验使用固态挤压UHMWPE Tensylon®HSBD30A在准静态加载速率下进行。试验结果表明，初始力学响应为线性，后期非线性显著，最终破坏突发性。PLSC断裂面图像显示，破坏源自UHMWPE膜层之间的界面材料。基于实验观察和软界面区相对较低的屈服应力，假设在裂纹萌生之前，整个界面区剪切力均匀。利用实测载荷、假设的均匀剪切牵引和通过数字图像相关得到的实测裂纹尖端切向相对位移，假设并构造了一个梯形牵引分离律。梯形牵引-分离模型参数包括初始界面刚度为4.708±1.418MPa/µm，最大剪切牵引力为3.267±0.646MPa， II型临界能量释放率为69.6±18.8J/m2，最终位移为26.09±4.75µm。实验建立的牵引-分离模型的有效性得到了验证，并采用黏结区模型对实验进行了有限元模拟。在平均剪应力和裂纹尖端位移方面，模拟结果与实验数据具有较好的相关性。

An anisotropic non-associative viscoplasticity/damage coupled thermodynamic model for ductile fracture of thick adhesive composite joint

P.F. Liu, J. Sun, H.Y. Chen, S.F. Xia

doi:10.1016/j.tws.2026.115066

厚粘接复合材料接头韧性断裂的各向异性非关联粘塑性/损伤耦合热力学模型

Accurate prediction of damage and fracture in thick adhesive joints remains a critical challenge in engineering design, hindered by the complex interplay of material ductility, bondline thickness effects, and anisotropic damage evolution. To address this gap, this study develops a finite-deformation anisotropic non-associative viscoplasticity/damage coupled thermodynamic model that captures the ductile fracture behavior of adhesive joints. The model innovatively integrates a fourth-order damage tensor, derived via spectral decomposition of a second-order tensor, into a Drucker-Prager’s type yield function and a non-associative plastic potential, while an enhanced Perzyna’s type formulation incorporates hydrostatic pressure effects. After plastic deformation, damage induces anisotropy, which in turn exacerbates damage, achieving interaction between them. Implemented within a corotated framework using implicit finite element an alysis, the model successfully predicts the stress, strain, and damage response of methyl methacrylate (MMA) adhesive specimens under tensile and shear loading. Validation against experimental data demonstrates its capability to replicate rate-dependent damage localization and interface debonding processes, providing a robust tool for simulating thick adhesive joints where triaxial stress states activate complex damage evolution. This work bridges the gap between interface-level and bulk-material failure an alyses, providing a robust tool for designing durable adhesive structures in marine and aerospace applications.

由于材料延展性、粘结线厚度效应和各向异性损伤演化的复杂相互作用，对厚粘结接头损伤和断裂的准确预测仍然是工程设计中的一个关键挑战。为了解决这一问题，本研究开发了一个有限变形各向异性非关联粘塑性/损伤耦合热力学模型，该模型捕捉了粘合接头的韧性断裂行为。该模型创新地将四阶损伤张量（通过二阶张量的谱分解得到）集成到Drucker-Prager型屈服函数和非关联塑性势中，而增强的Perzyna型公式则包含了静水压力效应。塑性变形后，损伤诱发各向异性，各向异性又加剧损伤，实现两者的相互作用。利用隐式有限元分析，该模型成功地预测了甲基丙烯酸甲酯（MMA）胶粘剂试件在拉伸和剪切载荷下的应力、应变和损伤响应。对实验数据的验证表明，它能够复 制速率相关的损伤定位和界面脱粘过程，为模拟三轴应力状态激活复杂损伤演化的厚粘接提供了一个强大的工具。这项工作弥补了界面级和大块材料失效分析之间的差距，为设计船舶和航空航天应用中的耐用粘合结构提供了强大的工具。