Mechanics of Solids最新文献

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Dynamic Response and Energy Absorption Characteristics of Auxetic Concave Honeycomb Pad for Ballistic Helmet under Shock Wave and Bullet Impact
IF 0.6 4区 工程技术
Mechanics of Solids Pub Date : 2025-02-09 DOI: 10.1134/S0025654424605159
Z. Y. Shen, Y. K. Wen, L. Y. Shen, X. H. Luo, W. X. Nie, H. C. Wang, H. R. Xu
{"title":"Dynamic Response and Energy Absorption Characteristics of Auxetic Concave Honeycomb Pad for Ballistic Helmet under Shock Wave and Bullet Impact","authors":"Z. Y. Shen,&nbsp;Y. K. Wen,&nbsp;L. Y. Shen,&nbsp;X. H. Luo,&nbsp;W. X. Nie,&nbsp;H. C. Wang,&nbsp;H. R. Xu","doi":"10.1134/S0025654424605159","DOIUrl":"10.1134/S0025654424605159","url":null,"abstract":"<p>The non-penetrating deformation of ballistic helmets caused by bullet impact can lead to craniocerebral injuries, and ballistic helmets are unable to provide effective protection against the blast wave. To enhance the protective performance of helmets, this paper proposed a novel pad based on a concave hexagonal auxetic structure, which has a porous internal structure and can contract under uniaxial compression. Numerical simulation was used to study the blunt force and shock wave protection mechanism of auxetic pads, and to analyze the protection effect of different pads on the human head under the two working conditions of 9 mm pistol bullet hitting the helmet and shock wave action. The study results indicated that the auxetic pad absorbed 13.2 J of energy after blunt force deformation of the ballistic helmet shell, and the energy absorption capacity was 424% higher than that of the foam pad; cranial stress was reduced by 44% and peak intracranial pressure was reduced by 35% when the auxetic pad was worn. Under the effect of the shock wave wearing foam pad helmet would still produce 269.3 kPa overpressure in the occipital part, and the auxetic pad could absorb a certain degree of the shock wave which transmitted into the area between the helmet and the head, and effectively avoid the damage caused by the shock wave to the head. The study demonstrated that the auxetic pad has good application prospects, which could provide a reference for improving the protective performance of helmets and reducing traumatic brain injury.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 5","pages":"3050 - 3067"},"PeriodicalIF":0.6,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143373208","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Propagation of Rayleigh-Type Waves on an Elastic Half-Space Covered by a Thin Multi-Layered Coating
IF 0.6 4区 工程技术
Mechanics of Solids Pub Date : 2025-02-09 DOI: 10.1134/S0025654424604671
Ali M. Mubaraki, Maha M. Helmi, Rahmatullah Ibrahim Nuruddeen, Mounirah Areshi
{"title":"Propagation of Rayleigh-Type Waves on an Elastic Half-Space Covered by a Thin Multi-Layered Coating","authors":"Ali M. Mubaraki,&nbsp;Maha M. Helmi,&nbsp;Rahmatullah Ibrahim Nuruddeen,&nbsp;Mounirah Areshi","doi":"10.1134/S0025654424604671","DOIUrl":"10.1134/S0025654424604671","url":null,"abstract":"<p>The current manuscript models the propagation of surface waves on a mechanically loaded, thin, multi-layered coating half-space using the renowned asymptotic approximation method. Perfect interfacial conditions are imposed between the composite medium’s multiple layers, in addition to boundedness conditions along the depth of the underlying half-space. Approximate equations of plane motion and the secular equation for the propagation of Rayleigh-type waves on the governing multi-layered coating substrate have been derived, utilizing the effective boundary data on the multi-interface of the medium under the long-wave approximation limit. The acquisition of an approximate elliptic-hyperbolic equation of motion, featuring a pseudo-differential operator and characterized by impulsive point loading, led to the observation of oscillatory wave behaviors in both the longitudinal displacement and potential functions with respect to the scaled spatial-temporal variable χ. Finally, some numerical illustrations, considering prototypical high-contrast coatings and stiff substrates, exhibit slow oscillations of the progressing and receding fronts. Conversely, an opposite trend is noted when a soft underlying substrate is placed beneath a stiff multi-layered coating.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 5","pages":"2906 - 2920"},"PeriodicalIF":0.6,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143373376","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Plane Thermoelastic Waves in Ultrahemitropic Micropolar Solid
IF 0.6 4区 工程技术
Mechanics of Solids Pub Date : 2025-02-09 DOI: 10.1134/S0025654424700341
E. V. Murashkin, Yu. N. Radayev
{"title":"Plane Thermoelastic Waves in Ultrahemitropic Micropolar Solid","authors":"E. V. Murashkin,&nbsp;Yu. N. Radayev","doi":"10.1134/S0025654424700341","DOIUrl":"10.1134/S0025654424700341","url":null,"abstract":"<p>In the present paper we consider problems related to propagation of plane time-harmonic coupled waves of temperature increment, translational and spinor displacements in an ultrahemitropic micropolar thermoelastic solid and investigation their wavenumbers. The ultrahemitropic model is derived from hemitropic. A closed coupled partial differential equations for the temperature increment and displacements are discussed. Terms of the partial differential equations of coupled micropolar thermoelasticity are compared with respect to micropolar characteristic length scale. The characteristic equations for the wavenumbers of plane harmonic coupled thermoelastic longitudinal (bicubic equation) and transverse (biquadratic equation) waves are found and solved. For a longitudinal wave the complex amplitudes of the temperature increment, translational and spinor displacements are also coupled, contrary to an athermal (or cold) transverse wave. The thermal part can not be eliminated from a thermoelastic longitudinal wave, whereas the transverse wave is intrinsically athermal and is called as cold. Algebraic radical expressions for the roots of the characteristic equations are obtained and normal wavenumbers with a positive real parts are discriminated.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 5","pages":"3212 - 3222"},"PeriodicalIF":0.6,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143373385","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analysis of the Penetration Ability of Exponential Bullets on TPMS Structures with Variable Density
IF 0.6 4区 工程技术
Mechanics of Solids Pub Date : 2025-02-09 DOI: 10.1134/S0025654424605640
Qi Jiang, Bo Hao, Geng Chen, Haokai Zheng, Li Zhang
{"title":"Analysis of the Penetration Ability of Exponential Bullets on TPMS Structures with Variable Density","authors":"Qi Jiang,&nbsp;Bo Hao,&nbsp;Geng Chen,&nbsp;Haokai Zheng,&nbsp;Li Zhang","doi":"10.1134/S0025654424605640","DOIUrl":"10.1134/S0025654424605640","url":null,"abstract":"<p>The TPMS lattice structure is widely utilized in the military UAV field, thus it is imperative to investigate efficient methods for targeting the TPMS lattice structure. This paper conducts a numerical simulation to study the impact of exponential bullets on the penetration capability of lattice structures with varying thickness and density. Specifically, the analysis focuses on the penetration behavior of variable density Diamond structures designed using MATLAB and simulated using ABAQUS. The simulation results reveal that as the thickness of the lattice structure increases, there is an initial rise followed by a decline and then another increase in the increase rate of bullet velocity. Furthermore, it is found that the position and radius of the distortion axis significantly influence bullet velocity disparity, with deviation rates reaching 17.12 and 27.48%, respectively. Conversely, middle plane offset has minimal impact on bullet velocity difference, with a deviation rate of only 6.38%. These findings underscore the importance of considering adjustments to the distortion axis within a certain range when designing UAV structures in order to enhance their penetration ability.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 5","pages":"3198 - 3211"},"PeriodicalIF":0.6,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143373280","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamics of a Piezoelectric Restrained Nanowire in an Elastic Matrix
IF 0.6 4区 工程技术
Mechanics of Solids Pub Date : 2025-02-09 DOI: 10.1134/S0025654424604713
Murat Akpınar, Büşra Uzun, Mustafa Özgür Yaylı
{"title":"Dynamics of a Piezoelectric Restrained Nanowire in an Elastic Matrix","authors":"Murat Akpınar,&nbsp;Büşra Uzun,&nbsp;Mustafa Özgür Yaylı","doi":"10.1134/S0025654424604713","DOIUrl":"10.1134/S0025654424604713","url":null,"abstract":"<p>This study presents an analytical approach for vibration analysis of piezoelectric nanowires. First, the piezoelectric nanowire is fixed at both ends with elastic springs that do not move. At the same time, the piezoelectric nanowire is enclosed in an elastic medium. For this elastic medium, the Winkler foundation model is considered. The equation of motion of the problem is generated using natural and force boundary conditions, equations of equilibrium, and energy methods. Fourier series are preferred as the axial displacement function. This function is substituted into the discretized equation of motion and the Fourier coefficient is determined. The Fourier coefficient is substituted into the force boundary conditions and an eigenvalue problem of size 2 × 2 is formulated. This eigenvalue problem is the most general and has not been presented in the literature. When high values are assigned to the spring parameters, embedded boundary conditions are reached. Conversely, when the spring parameters are assigned very small values, the solutions can be made for the free end.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 5","pages":"2936 - 2959"},"PeriodicalIF":0.6,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143373408","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Effect of Diffusion and Laser Pulse on a Poro-Thermoelastic Medium Via Three-Phase-Lag Model
IF 0.6 4区 工程技术
Mechanics of Solids Pub Date : 2025-02-09 DOI: 10.1134/S0025654424603410
Elsayed M. Abd-Elaziz, Mohamed I. A. Othman
{"title":"Effect of Diffusion and Laser Pulse on a Poro-Thermoelastic Medium Via Three-Phase-Lag Model","authors":"Elsayed M. Abd-Elaziz,&nbsp;Mohamed I. A. Othman","doi":"10.1134/S0025654424603410","DOIUrl":"10.1134/S0025654424603410","url":null,"abstract":"<p>The aim of this work is to investigate the effects of diffusion and thermal stress by pulsed laser heating on thermoelastic solids with cavities in the context of a three-phase delay model. The dimensionless governing equations are established, and then the exact expressions of temperature field, displacement component, stress component, concentration field and volume fraction field changes are obtained by using normal mode technique. The material is an isotropic uniform elastic half-space heated by a non-Gaussian laser beam with pulse duration 0.002 ps. Using a magnesium crystal element as an application, the predictions of the model for diffusion and laser pulse-induced three-phase hysteresis on porous thermoelastic media are compared with those of the Green-Naghdi type III theory. The obtained thermal change results are verified by comparison with two theories of thermoelasticity, the three-phase lag (3PHL) model and the Green and Nagdi type III theory. Plot the field quantities to examine the effect of the laser pulse at two different values of time and the effect void parameter. This study also yields some interesting special cases.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 5","pages":"2820 - 2842"},"PeriodicalIF":0.6,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143373375","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Numerical Study on Performance Evaluation of Alumina 99.6%, Kevlar®, Aluminium Composite Armour Panels
IF 0.6 4区 工程技术
Mechanics of Solids Pub Date : 2025-02-09 DOI: 10.1134/S0025654424605172
M. D. Umbharatwala, Manmohan Dass Goel, Gaurav Tiwari, Nikhil Andraskar
{"title":"Numerical Study on Performance Evaluation of Alumina 99.6%, Kevlar®, Aluminium Composite Armour Panels","authors":"M. D. Umbharatwala,&nbsp;Manmohan Dass Goel,&nbsp;Gaurav Tiwari,&nbsp;Nikhil Andraskar","doi":"10.1134/S0025654424605172","DOIUrl":"10.1134/S0025654424605172","url":null,"abstract":"<p>The current study is focused on evaluating the effectiveness of composite armour made from ceramic, fabric and metal, employing various configurations. Additionally, it incorporates Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) analysis to compare the performance of different configurations of composite armour plates having 20 mm thickness against high-velocity hard steel core armour-piercing projectiles, particularly for vehicle armour applications. The ceramic component of the armour comprises hardened alumina (99.6%), Kevlar<sup>®</sup> fabric-based fibre-matrix composites, and an epoxy blend reinforced with carbon nanotubes (CNTs). The design of the armour prioritized maintaining a ceramic tile as the frontal impact surface, complemented by an aluminium (Al 2024-T3) plate and a CNT-reinforced Kevlar<sup>®</sup> composite on the rear. The armour was engineered as a functionally graded composite material with varying levels of hardness and toughness. To ensure equitable comparison across armour plates, the total thickness of the composite was consistently set at 20 mm, and its performance was assessed under two distinct impact velocities: 725 and 550 m/s. A multi-criterion based decision-making (MCDM) approach was employed to comprehensively analyse the armour’s performance across multiple parameters. The study shows that the stacking sequence of the materials significantly alters the ballistic resistance of composite panel despite possessing similar arial density. Also, Certain configurations outperforms others despite having lesser arial density.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 5","pages":"3068 - 3096"},"PeriodicalIF":0.6,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143373386","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamics of the Energy Center of a Long-Wave Low-Amplitude Disturbance in an Anharmonic One-Dimensional Lattice
IF 0.6 4区 工程技术
Mechanics of Solids Pub Date : 2025-02-09 DOI: 10.1134/S0025654424606001
S. A. Shcherbinin
{"title":"Dynamics of the Energy Center of a Long-Wave Low-Amplitude Disturbance in an Anharmonic One-Dimensional Lattice","authors":"S. A. Shcherbinin","doi":"10.1134/S0025654424606001","DOIUrl":"10.1134/S0025654424606001","url":null,"abstract":"<p>The dynamics of a disturbance with finite energy in an infinite monatomic nonlinear one-dimensional lattice are analyzed. Based on the energy dynamics approach proposed earlier, we focus on such disturbance spatial characteristic as the position of its energy center. Restricting our analysis to long-wave low-amplitude disturbances, we investigate the dynamics of the α-FPU chain using its continuous version described by the KdV equation. We establish a connection of the Lagrangian and the energy of the original chain with the two conserving quantities of the KdV equation. Using these two quantities and the known properties of the KdV equation, we propose a method for determining the velocity of the energy center of the disturbance at large times based on the initial conditions.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 5","pages":"3235 - 3243"},"PeriodicalIF":0.6,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143373387","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Critical States of Laminated Polymer Composite under Quasi-Static Deformation after Preliminary Low-Velocity Impact Loads
IF 0.6 4区 工程技术
Mechanics of Solids Pub Date : 2025-02-09 DOI: 10.1134/S0025654424606116
O. A. Staroverov, V. E. Wildemann, A. I. Mugatarov, E. M. Strungar, E. A. Chebotareva
{"title":"Critical States of Laminated Polymer Composite under Quasi-Static Deformation after Preliminary Low-Velocity Impact Loads","authors":"O. A. Staroverov,&nbsp;V. E. Wildemann,&nbsp;A. I. Mugatarov,&nbsp;E. M. Strungar,&nbsp;E. A. Chebotareva","doi":"10.1134/S0025654424606116","DOIUrl":"10.1134/S0025654424606116","url":null,"abstract":"<p>The study results of the influence of preliminary localized impacts of different intensity on the mechanical behavior of laminated polymer composite with the use of modern testing and diagnostic equipment is presented in this paper. Drop-weight three-point bending tests followed by quasi-static tension were carried out. The data of change in residual strength and deformation characteristics of the studied composite were obtained. The nonlinear dependence of residual strength and stiffness on the energy of preliminary impacts was noted. On the basis of the previously developed approach that is based on the analysis of fatigue sensitivity diagrams, impact sensitivity diagrams were plotted and threshold values of dynamic impact energy, corresponding to the transition to critical states, were determined. Deformation and fracture processes during quasi-static tension of damaged fiber-reinforced plastic (FRP) specimens were analyzed on the basis of data, obtained by the VIC-3D video system. Using the method of digital images correlation (DIC), stress-strain curves of damaged specimens were plotted. The evolution of inhomogeneous longitudinal strain fields on the FRP’s surface is presented. The processes of damage accumulation and fracture of FRP specimens during quasi-static tension were analyzed, based on the data of acoustic emission signals that were registered with the AMSY-6 system. The relationship between the change in impact energy and the registered parameters of acoustic response signals was established. Three characteristic frequency ranges, correlated with matrix cracking, delamination and fiber breakage, were identified. The conclusion was made about the significant influence of preliminary dynamic impacts on the deformation and fracture patterns of laminated-fiber polymer composite materials.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 5","pages":"3244 - 3253"},"PeriodicalIF":0.6,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143373388","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Aeroelastic Analysis and Lay-Up Optimization Strategy for Glass/Carbon Fiber Hybrid Composite Panels Subjected to Supersonic Airflow
IF 0.6 4区 工程技术
Mechanics of Solids Pub Date : 2025-02-09 DOI: 10.1134/S0025654424605160
Li Bowen, Zhang Jiamu, Chu Guangyuan, Zhang Feng, Jin Peng
{"title":"Aeroelastic Analysis and Lay-Up Optimization Strategy for Glass/Carbon Fiber Hybrid Composite Panels Subjected to Supersonic Airflow","authors":"Li Bowen,&nbsp;Zhang Jiamu,&nbsp;Chu Guangyuan,&nbsp;Zhang Feng,&nbsp;Jin Peng","doi":"10.1134/S0025654424605160","DOIUrl":"10.1134/S0025654424605160","url":null,"abstract":"<p>This research aimed to address the growing demand for multifunctional composite panels with high aeroelastic stability in the aerospace industry by proposing a glass/carbon fiber hybrid composite structure suitable for aircraft wing panels and outlining an optimization strategy. The results revealed that while increasing the hybrid ratio of glass fiber had the potential to enhance the multifunctional designability of laminated panels, it also led to decreased aeroelastic stability. However, through the optimization of lay-ups, the negative impact of glass fiber hybridization on load-bearing performance could be mitigated, allowing for the simultaneous achievement of structural stability and multifunctional designability.</p>","PeriodicalId":697,"journal":{"name":"Mechanics of Solids","volume":"59 5","pages":"3139 - 3147"},"PeriodicalIF":0.6,"publicationDate":"2025-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143373276","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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