{"title":"Crack Propagation and Debonding Study of Thin Films on Compliant Substrates Based on a Novel Nonlocal Damage and Cohesive Zone Model","authors":"Feng Xue, Wenjie Li, Dake Yi, Xiaofan Gou","doi":"10.1007/s10338-025-00700-x","DOIUrl":"10.1007/s10338-025-00700-x","url":null,"abstract":"<div><p>Precise modeling of brittle materials is essential for guaranteeing their reliable performance in practical applications. In this study, a new nonlocal macro-meso-scale consistent damage (NMMD) model coupled with the cohesive zone model is exploited to simulate the fracture behavior of thin films deposited on compliant substrates. The NMMD model provides an efficient and physically consistent framework for capturing fracture evolution in brittle thin-film–substrate structures. This model, unlike the phase-field method, avoids solving an auxiliary or additional phase-field evolution equation, which significantly reduces the computational cost and total degrees of freedom while maintaining high predictive accuracy. Besides, the NMMD model captures damage evolution through nonlocal internal variables while preserving energy balance across scales. By precisely tuning the interfacial fracture toughness, the NMMD model quantitatively tracks crack trajectories and interfacial delamination zones, revealing the critical dependence of brittle fracture regimes on interfacial toughness parameters. Furthermore, the model systematically deciphers how interfacial fracture toughness governs crack propagation dynamics within the NMMD framework, bridging microscale mechanics to macroscale failure predictions.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"39 9","pages":"1357 - 1368"},"PeriodicalIF":2.6,"publicationDate":"2026-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149014582","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Zihao Yang, Yuchao Guo, Chuangwei Li, Yongcun Zhang, Shuai Li
{"title":"Dual-Scale Topology Optimization for Transient Thermoelastic Structures Integrating Thermal Insulation with Load-Bearing Functionality","authors":"Zihao Yang, Yuchao Guo, Chuangwei Li, Yongcun Zhang, Shuai Li","doi":"10.1007/s10338-025-00686-6","DOIUrl":"10.1007/s10338-025-00686-6","url":null,"abstract":"<div><p>Designing multifunctional thermoelastic structures that simultaneously achieve load-bearing capacity and thermal insulation remains challenging, as mechanically strong materials typically exhibit high thermal conductivity, while effective thermal insulators often lack sufficient structural strength. To resolve this conflict, this study proposes a dual-scale topology optimization framework for structures integrating thermal insulation with load-bearing functionality. At the microscale, porous unit cells with low effective thermal conductivity are optimized to replace solid materials in the support structure, thereby reducing thermal shorting. At the macroscale, structural configurations are optimized, and the material savings from the microscale are reallocated to enhance global stiffness. Three optimization cases are presented. The first two illustrate how the framework captures topological features of transient heat conduction and thermoelastic structures under varying thermal durations and different thermal–mechanical objective weightings. The third case focuses on the integrated design, demonstrating the effectiveness of the dual-scale strategy. Comparative analysis shows that this approach yields up to 50% improvement in both thermal insulation and structural stiffness over mono-scale optimization. The results are further supported by numerical simulations, confirming the advantages of the proposed framework.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"39 9","pages":"1292 - 1309"},"PeriodicalIF":2.6,"publicationDate":"2026-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149014589","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A Variational Continuum Model for Variant Reorientation of Ni–Mn–Ga Alloys Under Dynamic Mechanical Loading","authors":"Jiong Wang, Yongtao Liang, Zhanfeng Li, Chengkai Fan, Jianbin Wu","doi":"10.1007/s10338-025-00693-7","DOIUrl":"10.1007/s10338-025-00693-7","url":null,"abstract":"<div>\u0000 \u0000 <p>In this paper, a variational continuum model is proposed to investigate the dynamic mechanical properties of Ni–Mn–Ga alloy samples. Two continuous internal variables, i.e., the variant state and the lattice rotation angle, are introduced to characterize variant reorientation in Ni–Mn–Ga samples. Hamilton’s action integral for a dynamically loaded Ni–Mn–Ga sample is formulated, which incorporates a misfit energy term to account for the incompatibility of lattice structures. Through variational calculations, the weak forms of the governing equations are derived, which are further simplified by specifying the orientation of lattice structures. Both the full-form and the simplified governing equations are implemented in a commercial FE software. To demonstrate the efficiency of the present model, it is applied to simulate the dynamic behavior of a Ni–Mn–Ga sample in uniaxial compression tests. Based on the numerical solutions, the global response of the sample can be predicted, which shows good consistency with the experimental results. Furthermore, the configurations and variant state evolutions of the Ni–Mn–Ga sample during variant reorientation are properly simulated. The effects of loading rates and parameter values on the dynamic response of Ni–Mn–Ga samples are also discussed.</p>\u0000 </div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"39 9","pages":"1322 - 1334"},"PeriodicalIF":2.6,"publicationDate":"2026-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149014576","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Study on 3D Hydraulic Fracture Propagation Mechanisms in Marine-Continental Transitional Dual-Heterogeneity Shale","authors":"Jianjun Wu, Ke Li, Haifeng Zhao, Hujun Gong","doi":"10.1007/s10338-025-00679-5","DOIUrl":"10.1007/s10338-025-00679-5","url":null,"abstract":"<div>\u0000 \u0000 <p>Given the differences in rock mechanical properties and the unclear influence of fracturing parameters on hydraulic fracture propagation in heterogeneous marine-continental transitional shale reservoirs, a three-dimensional hydraulic fracturing model was established using Abaqus finite element software to analyze how lithological variation and fracturing parameters affect hydraulic fracture propagation. The results show that: (1) During the expansion of three-dimensional hydraulic fractures in marine-continental transitional facies, a “necking” phenomenon occurs. This effect becomes more severe and frequent with increasing rock facies heterogeneity. (2) The vertical lithological heterogeneity of transitional facies is influenced by interlayer lithology. Limestone and sandstone interlayers promote hydraulic fracture propagation, while mudstone interlayers typically inhibit it. However, at an injection rate of 20 m<sup>3</sup>/min, the fracture propagation morphology in mudstone interlayers becomes more complex, facilitating propagation. (3) The “necking” morphologies of hydraulic fractures, influenced by the dual heterogeneity of the marine-continental transitional facies, mainly include fingering, tadpole, landslide, drum mound, and landslide-drum mound types. (4) In reservoirs with the dual heterogeneity of marine-continental transitional facies, the maximum fracture width depends on the perforation location and interlayer lithology. A “clayey-siliceous-clayey” sequence yields the greatest width when perforated in clayey shale, while a “siliceous-clayey-siliceous” sequence does so when perforated in siliceous shale.</p>\u0000 </div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"39 9","pages":"1246 - 1264"},"PeriodicalIF":2.6,"publicationDate":"2026-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149014588","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Fengnian Zhuang, Gaosheng Yan, Hong Chen, Yi Zhang, Wenshan Yu, Minglong Xu, Shengping Shen
{"title":"Superionic Transition-Induced Diffusional Creep Behavior Transitions in Nanocrystalline (U1 − x, Thx)O2 Nuclear Fuels","authors":"Fengnian Zhuang, Gaosheng Yan, Hong Chen, Yi Zhang, Wenshan Yu, Minglong Xu, Shengping Shen","doi":"10.1007/s10338-025-00696-4","DOIUrl":"10.1007/s10338-025-00696-4","url":null,"abstract":"<div><p>(U<sub>1 − <i>x</i></sub>,Th<sub><i>x</i></sub>)O<sub>2</sub>, commonly known as the ThO<sub>2</sub>-based MOX, is a promising nuclear fuel candidate for various advanced reactors. A thorough understanding of its high-temperature creep behavior is demanding for assessing its fuel performance and predicting its service lifetime under normal operating and extreme accidental conditions. By utilizing the molecular dynamics simulations, we investigate the creep mechanisms and their transitions of nanocrystalline (U<sub>1 − <i>x</i></sub>,Th<sub><i>x</i></sub>)O<sub>2</sub> MOX affected by thorium contents, grain sizes, temperatures and stresses. We find that at lower temperatures and stresses, Coble creep is the dominant creep mechanism in nanocrystalline (U<sub>1 − <i>x</i></sub>,Th<sub><i>x</i></sub>)O<sub>2</sub>, which is rate-limited by cation diffusion along grain boundaries. Beyond a critical stress, significant grain boundary sliding activates, causing a transition from the Coble creep to Lifshitz sliding-dominated creep. As temperature approaches the superionic transition temperature of nanocrystalline (U<sub>1 − <i>x</i></sub>,Th<sub><i>x</i></sub>)O<sub>2</sub>, the pre-melting of its anionic sublattice leads to a marked enhancement in ionic diffusivity. Such enhancement in cationic diffusivity enables the cation to diffuse in lattice, thereby leading to a transition from Coble creep to Nabarro-Herring creep. The findings of this work not only provide valuable insights into the high-temperature creep behaviors of ThO<sub>2</sub>-based MOX fuels under extreme conditions but also shed light on the future design of fluorite-type fuels with tailored creep performance.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"39 6","pages":"807 - 821"},"PeriodicalIF":2.6,"publicationDate":"2026-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148285450","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Xuehong Ren, Wenjie Zhao, Jiujian Wang, Chenzhuo Qu, Shaopu Yang
{"title":"A Crystal Plasticity Cyclic Constitutive Model Based on Dislocation Mechanism for Body-Centered Cubic Axle Steel EA4T","authors":"Xuehong Ren, Wenjie Zhao, Jiujian Wang, Chenzhuo Qu, Shaopu Yang","doi":"10.1007/s10338-025-00689-3","DOIUrl":"10.1007/s10338-025-00689-3","url":null,"abstract":"<div>\u0000 \u0000 <p>Based on micro–macro experimental results from body-centered cubic (BCC) axle steel EA4T, this paper develops a dislocation-based cyclic polycrystalline viscoplastic constitutive model for BCC polycrystalline metals, explicitly addressing non-uniform dislocation substructure alongside its evolution within the crystal plasticity theoretical framework. The model adopts three internal state variables: the density of mobile dislocations, the density of immobile dislocations in cell interiors, and the density of immobile dislocations within cell walls. It comprehensively captures dislocation multiplication, annihilation, rearrangement, and immobilization on various slip systems. To enhance its predictive capability for cyclic deformation of polycrystalline metals, the dislocation-based constitutive model incorporates a rate-dependent flow rule, an improved kinematic hardening law and an explicit scale transition criterion. Simulation results demonstrate the model's capability to predict both the evolution of uniaxial and multiaxial ratcheting strain in BCC polycrystalline metals across various stress levels at the macro scale, as well as the rate dependence of the ratcheting deformation. Furthermore, the model can predict the effects of crystallographic orientation and loading level on single-crystal ratcheting deformation.</p>\u0000 </div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"39 9","pages":"1310 - 1321"},"PeriodicalIF":2.6,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149014590","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Li Ning, Gui-Jiao Wu, Yu-Xing Sun, Yang-Mian Wang, Peng Wang, Yi-Ze Wang
{"title":"Diamond-Shaped Shrinking Device by Elastic Wave Metamaterial Plate and Active Control","authors":"Li Ning, Gui-Jiao Wu, Yu-Xing Sun, Yang-Mian Wang, Peng Wang, Yi-Ze Wang","doi":"10.1007/s10338-025-00697-3","DOIUrl":"10.1007/s10338-025-00697-3","url":null,"abstract":"<div>\u0000 \u0000 <p>This work introduces a diamond-shaped shrinking device that manipulates elastic wave propagation to produce illusion effects. According to the coordinate transformation, the device undergoes uniform stretching and compression along the <i>x</i>- and <i>y</i>-axes. For special geometric features, material parameters remain spatially invariant and exhibit no singular values. Although these homogeneous parameters simplify device design, they remain anisotropic. According to effective medium theory, the continuous anisotropic parameters can be approximated by discrete layered structures composed of homogeneous isotropic materials. The proposed configuration comprises alternating layers of Acrylonitrile Butadiene Styrene (ABS), Polydimethylsiloxane (PDMS), and piezoelectric (PZT) patches. Numerical simulations demonstrate that the shrinking device achieves stable and efficient performance in the 1400–2400 Hz frequency range.</p>\u0000 </div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"39 4","pages":"577 - 584"},"PeriodicalIF":2.7,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147733109","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Geometric Propagation Model of the Lateral Rarefaction Wave Under Ideal and Non-ideal Flat Plate Impact","authors":"Jingtian Ma, Qiguang He, Xiaowei Chen","doi":"10.1007/s10338-025-00699-1","DOIUrl":"10.1007/s10338-025-00699-1","url":null,"abstract":"<div><p>In the flat plate impact experiment, lateral rarefaction waves (LRWs) form when stress waves pass through the side free surface (SFS). These waves alter material response by disrupting one-dimensional strain conditions, thereby affecting spallation behavior and measurement accuracy. This study establishes a geometric propagation model (GPM) based on elastic wave reflection theory to characterize LRW formation and evolution in flat plate impact. Results identify the shape of LRWs whose positions and morphologies are well predicted by the proposed model. Furthermore, systematic investigation of yaw impacts reveals that flyer inclination directly modulates the LRW-affected zone and measurable velocity range. The derived side relaxation angle formula quantifies the relationship between wavefront inclination and impact geometry. It enables indirect measurement of wave velocity, prediction of edge spallation, and determination of optimal measurement boundaries, enhancing experimental design in impact dynamics.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"39 10","pages":"1386 - 1400"},"PeriodicalIF":2.6,"publicationDate":"2026-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149222728","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Multi-Polarization Vibration Modes and Bandgap Regulation Mechanism of the Multi-Bandgap Lightweight Plate-Truss Hybrid Structures","authors":"Xun Wang, Jian Xiong","doi":"10.1007/s10338-025-00701-w","DOIUrl":"10.1007/s10338-025-00701-w","url":null,"abstract":"<div><p>To address the challenge of multi-frequency and multi-mode vibration in structural systems—such as bending and torsional modes—this study proposes plate-truss hybrid structures capable of generating multiple elastic wave bandgaps with various polarization modes. Unlike traditional elastic metamaterials that typically target a single frequency band or wave mode, the proposed design enables multi-band and multi-mode vibration suppression. Finite element simulations based on Bloch’s theorem are used to systematically investigate the bandgap characteristics. The results reveal that the structures exhibit different bandgaps, enabling wideband elastic wave attenuation. Parametric studies further show that tuning geometric features, such as rod radii <span>(r_{i})</span> and wall thickness <span>(t_{i})</span>, can effectively shift bandgap positions to lower frequencies and expand their bandwidth. Prototypes of the plate-truss hybrid structures are fabricated using selective laser melting technology, and their vibration attenuation performance is validated through frequency sweep tests. The experimental results show good agreement with numerical predictions, confirming the effectiveness of the design. This work elucidates the mechanisms of multi-bandgap formation and tunability, offering a promising strategy for advanced vibration mitigation in aerospace and related applications.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"39 7","pages":"1031 - 1048"},"PeriodicalIF":2.6,"publicationDate":"2026-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148613521","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Qibo Deng, Peng Wu, Hanxing Jia, Gangling Tian, Liuli Zhang, Cuihua An, Nan Ye, Shuai Wu, Ning Hu
{"title":"Electrochemically-Induced Deformation Mechanism and Actuation Properties of Nanoporous Ni-Based Composite Films","authors":"Qibo Deng, Peng Wu, Hanxing Jia, Gangling Tian, Liuli Zhang, Cuihua An, Nan Ye, Shuai Wu, Ning Hu","doi":"10.1007/s10338-025-00691-9","DOIUrl":"10.1007/s10338-025-00691-9","url":null,"abstract":"<div>\u0000 \u0000 <p>Advances in nanotechnology and smart materials enable electrochemical field control of material deformation, a promising actuation technology with extensive applications across various fields such as sensing and microelectromechanical systems. However, most thin-film electrochemical actuators exhibit limited deformation and rely on costly materials, hindering wider use. To address these limitations, this study developed a nanoporous Ni-based thin-film actuator. Using density functional theory calculations on the Vienna Ab initio Simulation Package platform, along with atomic force microscopy and strain monitoring techniques, we investigated its deformation mechanism under different electrochemical adsorption processes. Based on findings on stress distribution and deformation characteristics of sputtered Ni thin films under electrochemical processes, a nanoporous Ni-based composite material was designed and fabricated via chemical dealloying to enhance its practical actuation performance. This material achieved a maximum deflection angle of 31.5° with remarkable durability, and its deformation characteristics could be controlled by the electrochemical potential. This study offers a promising strategy for developing innovative electrochemical actuator materials.</p>\u0000 </div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"39 7","pages":"975 - 984"},"PeriodicalIF":2.6,"publicationDate":"2026-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148613137","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}