Acta Mechanica Solida Sinica最新文献_第8页

High-Order Two-Scale Asymptotic Paradigm for the Elastodynamic Homogenization of Periodic Composites 周期性复合材料弹性力学均质化的高阶双尺度渐近范式

IF 2 3区工程技术

Acta Mechanica Solida Sinica Pub Date : 2024-01-08 DOI: 10.1007/s10338-023-00444-6

Wei-Zhi Luo, Mu He, Liang Xia, Qi-Chang He

{"title":"High-Order Two-Scale Asymptotic Paradigm for the Elastodynamic Homogenization of Periodic Composites","authors":"Wei-Zhi Luo, Mu He, Liang Xia, Qi-Chang He","doi":"10.1007/s10338-023-00444-6","DOIUrl":"10.1007/s10338-023-00444-6","url":null,"abstract":"<div><p>The classical two-scale asymptotic paradigm provides macroscopic and microscopic analyses for the elastodynamic homogenization of periodic composites based on the spatial or/and temporal variable, which offers an approximate framework for the asymptotic homogenization analysis of the motion equation. However, in this framework, the growing complexity of the homogenization formulation gradually becomes an obstacle as the asymptotic order increases. In such a context, a compact, fast, and accurate asymptotic paradigm is developed. This work reviews the high-order spatial two-scale asymptotic paradigm with the effective displacement field representation and optimizes the implementation by symmetrizing the tensor to be determined. Remarkably, the modified implementation gets rid of the excessive memory consumption required for computing the high-order tensor, which is demonstrated by representative one- and two-dimensional cases. The numerical results show that (1) the contrast of the material parameters between media in composites directly affects the convergence rate of the asymptotic results for the homogenization of periodic composites, (2) the convergence error of the asymptotic results mainly comes from the truncation error of the modified asymptotic homogenized motion equation, and (3) the excessive norm of the normalized wavenumber vector in the two-dimensional inclusion case may lead to a non-convergence of the asymptotic results.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 1","pages":"124 - 138"},"PeriodicalIF":2.0,"publicationDate":"2024-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139398121","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}

引用次数: 0

Optimization of Band Gap of 1D Elastic Metamaterial Under Impact Load by Regulating Stiffness 通过调节刚度优化冲击载荷下一维弹性超材料的带隙

IF 2 3区工程技术

Acta Mechanica Solida Sinica Pub Date : 2024-01-04 DOI: 10.1007/s10338-023-00451-7

Tong Li, Xianlong Jin, Yongqiang Li, Peizhong Yang

引用次数: 0

Enhanced Flexoelectric Response from Functionally Gradient Electrets Undergoing Crumpling Deformation 发生皱缩变形的功能梯度电子管增强的柔电响应

IF 2 3区工程技术

Acta Mechanica Solida Sinica Pub Date : 2024-01-04 DOI: 10.1007/s10338-023-00453-5

Jianhua Ma, Jinrui Xu, Jun Li, Binglei Wang

引用次数: 0

Molecular Dynamics Simulations of Displacement Cascade in Ni-Based Concentrated Solid Solution Alloys 镍基浓固溶合金中位移级联的分子动力学模拟

IF 2 3区工程技术

Acta Mechanica Solida Sinica Pub Date : 2024-01-04 DOI: 10.1007/s10338-023-00445-5

Chaoquan Zhao, Rongxuan Xie, Chuanlong Xu, Xiaobao Tian, Qingyuan Wang, Wentao Jiang, Haidong Fan

{"title":"Molecular Dynamics Simulations of Displacement Cascade in Ni-Based Concentrated Solid Solution Alloys","authors":"Chaoquan Zhao, Rongxuan Xie, Chuanlong Xu, Xiaobao Tian, Qingyuan Wang, Wentao Jiang, Haidong Fan","doi":"10.1007/s10338-023-00445-5","DOIUrl":"10.1007/s10338-023-00445-5","url":null,"abstract":"<div><p>Single-phase concentrated solid solution alloys (SP-CSAs), including high-entropy alloys, have received extensive attention due to their excellent irradiation resistance. In this work, displacement cascade simulations are conducted using the molecular dynamics method to study the evolution of defects in Ni-based SP-CSAs. Compared with pure Ni, the NiCr, NiCo, and NiCu alloys exhibit a larger number of Frankel pairs (FPs) in the thermal peak stage, but a smaller number of surviving FPs. However, the NiFe alloy displays the opposite phenomenon. To explain these different observations for NiFe and other alloys, the formation energy and migration energy of interstitials/vacancies are calculated. In the NiFe alloy, both the formation energy and migration energy barrier are higher. On the other hand, in NiCr and other alloys, the formation energy of interstitials/vacancies is lower, as is the migration energy barrier of interstitials. The energy analysis agrees well with previous observations. The present work provides new insights into the mechanism behind the irradiation resistance of binary Ni-based SP-CSAs.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 1","pages":"82 - 89"},"PeriodicalIF":2.0,"publicationDate":"2024-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139101905","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}

引用次数: 0

The Method of Polynomial Particular Solutions for Solving Nonlinear Poisson-Type Equations 求解非线性泊松类方程的多项式特定解法

IF 2 3区工程技术

Acta Mechanica Solida Sinica Pub Date : 2024-01-04 DOI: 10.1007/s10338-023-00440-w

Zhile Jia, Yanhua Cao, Xiaoran Wu

{"title":"The Method of Polynomial Particular Solutions for Solving Nonlinear Poisson-Type Equations","authors":"Zhile Jia, Yanhua Cao, Xiaoran Wu","doi":"10.1007/s10338-023-00440-w","DOIUrl":"10.1007/s10338-023-00440-w","url":null,"abstract":"<div><p>In this paper, the method of polynomial particular solutions is used to solve nonlinear Poisson-type partial differential equations in one, two, and three dimensions. The condition number of the coefficient matrix is reduced through the implementation of multiple scale technique, ultimately yielding a stable numerical solution. The methodological process can be divided into two main parts: first, identifying the corresponding polynomial particular solutions for the linear differential operator terms in the governing equations, and second, employing these polynomial particular solutions as basis function to iteratively solve the remaining nonlinear terms within the governing equations. Additionally, we investigate the potential improvement in numerical accuracy for equations with singularities in the analytical solution by shifting the computational domain a certain distance. Numerical experiments are conducted to assess both the accuracy and stability of the proposed method. A comparison of the obtained results with those produced by other numerical methods demonstrates the accuracy, stability, and efficiency of the proposed method in handling nonlinear Poisson-type partial differential equations.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 1","pages":"155 - 165"},"PeriodicalIF":2.0,"publicationDate":"2024-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139101850","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}

引用次数: 0

Multi-field Coupled Inverse Hall–Petch Relations for Ferroelectric Nanocrystals 铁电纳米晶体的多场耦合反霍尔-提取关系

IF 2 3区工程技术

Acta Mechanica Solida Sinica Pub Date : 2024-01-04 DOI: 10.1007/s10338-023-00449-1

Xiaodong Zhang, Wei Yan, Xuhui Lou, Yujun Chen, Zhihong Zhou, Qingyuan Wang, Lianhua Ma, Xiaobao Tian

{"title":"Multi-field Coupled Inverse Hall–Petch Relations for Ferroelectric Nanocrystals","authors":"Xiaodong Zhang, Wei Yan, Xuhui Lou, Yujun Chen, Zhihong Zhou, Qingyuan Wang, Lianhua Ma, Xiaobao Tian","doi":"10.1007/s10338-023-00449-1","DOIUrl":"10.1007/s10338-023-00449-1","url":null,"abstract":"<div><p>Tailoring grain size can improve the strength of polycrystals by regulating the proportion of grains to grain boundaries and the interaction area. As the grain size decreases to the nanoscale, the deformation mechanism in polycrystals shifts from being primarily mediated by dislocations to deformation occurring within the grains and grain boundaries. However, the mechanism responsible for fine-grain strengthening in ferroelectric materials remains unclear, primarily due to the complex multi-field coupling effect arising from spontaneous polarization. Through molecular dynamics simulations, we investigate the strengthening mechanism of barium titanate (BaTiO<sub>3</sub>), with extremely fine-grain sizes. This material exhibits an inverse Hall–Petch relationship between grain size and strength, rooting in the inhomogeneous concentration of atomic strain and grain rotation. Furthermore, we present a theoretical model to predict the transition from the inverse Hall–Petch stage to the Hall–Petch stage based on strength variations with size, which aligns well with the simulation results. It has been found that the piezoelectric properties of the BaTiO<sub>3</sub> are affected by polarization domain switching at various grain sizes. This study enhances our understanding of the atomic-scale mechanisms that contribute to the performance evolution of fine-grain nano-ferroelectric materials. It also provides valuable insights into the design of extremely small-scale ferroelectric components.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 1","pages":"139 - 147"},"PeriodicalIF":2.0,"publicationDate":"2024-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139101957","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}

引用次数: 0

A General Simulation Method for Complex Deformation of Irregular-Shaped Origami Configurations 不规则形状折纸结构复杂变形的通用模拟方法

IF 2 3区工程技术

Acta Mechanica Solida Sinica Pub Date : 2024-01-03 DOI: 10.1007/s10338-023-00443-7

Zhaochen Dong, Yichao Zhu, Xu Guo

引用次数: 0

Analysis of Piezoelectric Semiconductor Structures Considering Both Physical and Geometric Nonlinearities 同时考虑物理和几何非线性因素的压电半导体结构分析

IF 2 3区工程技术

Acta Mechanica Solida Sinica Pub Date : 2023-12-21 DOI: 10.1007/s10338-023-00448-2

Zhengguang Xiao, Shuangpeng Li, Chunli Zhang

{"title":"Analysis of Piezoelectric Semiconductor Structures Considering Both Physical and Geometric Nonlinearities","authors":"Zhengguang Xiao, Shuangpeng Li, Chunli Zhang","doi":"10.1007/s10338-023-00448-2","DOIUrl":"10.1007/s10338-023-00448-2","url":null,"abstract":"<div><p>Piezoelectric semiconductors (PSs), such as ZnO and GaN, known as the third-generation semiconductors, have promising applications in electronic and optoelectronic devices due to the coexistence and interaction of piezoelectricity and semiconductor properties. Theoretical modeling of PS structures under external loads, such as thermal and mechanical loads, plays a crucial role in the design of PS devices. In this work, we propose a nonlinear fully coupling theoretical model and investigate the multi-field coupling behaviors of PS structures and PN junctions under thermal and mechanical loads, considering physical and geometric nonlinearities. The electromechanical and semiconducting behaviors of a PS rod-like structure with flexural deformations under different combinations of temperature changes and mechanical loads are evaluated. The tuning effect of temperature changes and mechanical loads on multi-field coupling behaviors of PSs is revealed. The current–voltage characteristics of PS PN junctions are studied under different combinations of temperature changes and mechanical loads. The obtained results are helpful for the development of novel PS devices.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 1","pages":"72 - 81"},"PeriodicalIF":2.0,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138949602","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}

引用次数: 0

A Novel Design of a Pre-separation Panel Structure to Protect Against the Impact of an Explosion in an Aircraft Plenum Chamber 一种新颖的预分离面板结构设计，用于抵御飞机全气室爆炸的影响

IF 2 3区工程技术

Acta Mechanica Solida Sinica Pub Date : 2023-12-21 DOI: 10.1007/s10338-023-00447-3

Zongxing Liu, Xiang Yang, Jun Liu

{"title":"A Novel Design of a Pre-separation Panel Structure to Protect Against the Impact of an Explosion in an Aircraft Plenum Chamber","authors":"Zongxing Liu, Xiang Yang, Jun Liu","doi":"10.1007/s10338-023-00447-3","DOIUrl":"10.1007/s10338-023-00447-3","url":null,"abstract":"<div><p>To reduce the damage of the pressurizing panel structure of a fuselage caused by an explosion at the “least risk bomb location” in an aircraft structure, a new pre-separation panel structure was designed to resist blast loading. First, the dynamic strain response and morphology of impact damage of the new pre-separation panel were measured in an impact damage test. Second, the commercial software LS-DYNA was used to calculate the propagation of the blast shock wave, and the results were compared with empirical equations to verify the rationality of the numerical calculation method. Finally, the fluid–structure coupling method was used to calculate the damage process of the pre-separation panel structure under the impact of an explosion wave and an impact block. The calculated results were in good agreement with the test results, which showed the rationality of the calculation method and the model. The residual strength of the damaged pre-separation panel was significantly higher than that of the original damaged panel. The results show that the new pre-separation panel structure is reasonable and has certain significance for guiding the design of plenum chambers with strong resistance to implosion for aircraft fuselages.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 1","pages":"166 - 180"},"PeriodicalIF":2.0,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138951601","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}

引用次数: 0

In-Plane Dynamic Crushing Behaviors of a Vertex-Based Hierarchical Auxetic Honeycomb 基于顶点的分层辅助蜂窝的平面内动态挤压行为

IF 2 3区工程技术

Acta Mechanica Solida Sinica Pub Date : 2023-12-13 DOI: 10.1007/s10338-023-00446-4

Yichen Zan, Xiuhui Hou, Zichen Deng

{"title":"In-Plane Dynamic Crushing Behaviors of a Vertex-Based Hierarchical Auxetic Honeycomb","authors":"Yichen Zan, Xiuhui Hou, Zichen Deng","doi":"10.1007/s10338-023-00446-4","DOIUrl":"10.1007/s10338-023-00446-4","url":null,"abstract":"<div><p>Auxetic metamaterials, which exhibit the negative Poisson’s ratio (NPR) effect, have found wide applications in many engineering fields. However, their high porosity inevitably weakens their bearing capacity and impact resistance. To improve the energy absorption efficiency of auxetic honeycombs, a novel vertex-based hierarchical star-shaped honeycomb (VSH) is designed by replacing each vertex in the classical star-shaped honeycomb (SSH) with a newly added self-similar sub-cell. An analytical model is built to investigate the Young’s modulus of VSH, which shows good agreement with experimental results and numerical simulations. The in-plane dynamic crushing behaviors of VSH at three different crushing velocities are investigated, and empirical formulas for the densification strain and plateau stress are deduced. Numerical results reveal more stable deformation modes for VSH, attributed to the addition of self-similar star-shaped sub-cells. Moreover, compared with SSH under the same relative densities, VSH exhibits better specific energy absorption and higher plateau stresses. Therefore, VSH is verified to be a better candidate for energy absorption while maintaining the auxetic effect. This study is expected to provide a new design strategy for auxetic honeycombs.</p></div>","PeriodicalId":50892,"journal":{"name":"Acta Mechanica Solida Sinica","volume":"37 1","pages":"53 - 62"},"PeriodicalIF":2.0,"publicationDate":"2023-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139005370","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}

引用次数: 0