Theoretical and experimental research on nonlinear spring models of a bonding interface

<正>The nonlinear boundary conditions on a bonding interface between two solids of a longitudinal or shear horizontal(SH) wave under normal incidence were explored.By applying the second-order perturbation method,the nonlinear spring models are rigorously developed in the limit of small thickness to wavelength ratio.Numerical results agree well with the exact solutions obtained by continuous boundary conditions.The nonlinear spring model for longitudinal wave is verified by measuring the nonlinearity of a wedge-shaped bonding structure of steel or aluminum substrates.The experimental results reveal that the above model is rather accurate and as the impedance ratio of adherend to adhesive increases,the model becomes more accurate.     

粘接界面的非线性弹簧模型及实验验证

研究了纵波及横波垂直入射时在粘接界面处的非线性边界条件。在二阶微扰近似及粘接界面层厚度远小于入射声波长的条件下,给出了严格的界面非线性弹簧模型的表达式。数值计算结果表明,利用该模型得到的透射二次谐波与利用连续性边界条件得到的精确解吻合良好。针对钢(铝)的楔形粘接结构,在纵波垂直入射的条件下对该非线性弹簧模型进行了实验验证。实际测量结果显示该模型具有较高的精度;且被粘物与胶层的阻抗比越大,该模型的误差越小。      

Temperature dependence of heat conduction coefficient in nanotube/nanowire networks

Studies on heat conduction are so far mainly focused on regular systems such as the one-dimensional(1D) and twodimensional(2D) lattices where atoms are regularly connected and temperatures of atoms are homogeneously distributed.However, realistic systems such as the nanotube/nanowire networks are not regular but heterogeneously structured, and their heat conduction remains largely unknown. We present a model of quasi-physical networks to study heat conduction in such physical networks and focus on how the network structure influences the heat conduction coefficient κ. In this model,we for the first time consider each link as a 1D chain of atoms instead of a spring in the previous studies. We find that κ is different from link to link in the network, in contrast to the same constant in a regular 1D or 2D lattice. Moreover, for each specific link, we present a formula to show how κ depends on both its link length and the temperatures on its two ends.These findings show that the heat conduction in physical networks is not a straightforward extension of 1D and 2D lattices but seriously influenced by the network structure.     

Entanglement frustration for Gaussian states on symmetric graphs

We investigate the entanglement properties of multimode Gaussian states, which have some symmetry with respect to the ordering of the modes. We show how the symmetry constrains the entanglement between two modes of the system. In particular, we determine the maximal entanglement of formation that can be achieved in symmetric graphs like chains, 2D and 3D lattices, mean field models and the platonic solids. The maximal entanglement is always attained for the ground state of a particular quadratic Hamiltonian. The latter thus yields the maximal entanglement among all quadratic Hamiltonians having the considered symmetry.     

New global defect structures

We investigate the presence of defects in systems described by real scalar field in (D,1) spacetime dimensions. We show that when the potential assumes specific form, there are models which support stable global defects for D arbitrary. We also show how to find first-order differential equations that solve the equations of motion, and how to solve models in D dimensions via soluble problems in D=1. We illustrate the procedure examining specific models and finding explicit solutions.     

Crack formation in composites through a spring model

When two or more different materials are combined to form composites, the property of the composite may be quite different. This depends on relative interaction strengths of cohesion between similar and adhesion between dissimilar particles. We study crack formation in composites through a very general spring network model on a square lattice. The spring model shows the distortion of the lattice, prior to fracture and this affects the pattern of subsequent cracks, unlike the prevalent random fuse models, where no distortion is allowed. Two different types of sites (A and B) are distributed randomly on the lattice, representing two different constituents. There are springs of three types connecting them (A-A, B-B and A-B). We assign two spring parameters for each type of spring. These are a spring constant and a breaking threshold. We show that intermediate compositions may require higher energy to induce the first sample spanning break than either pure A or pure B. So the breaking energy goes through a maximum as the concentration of one component varies from 0% to 100%. The position and height of the peak depend on the spring parameters.     

Supervised Domain Adaptation for Automated Semantic Segmentation of the Atrial Cavity

Atrial fibrillation (AF) is the most common cardiac arrhythmia. At present, cardiac ablation is the main treatment procedure for AF. To guide and plan this procedure, it is essential for clinicians to obtain patient-specific 3D geometrical models of the atria. For this, there is an interest in automatic image segmentation algorithms, such as deep learning (DL) methods, as opposed to manual segmentation, an error-prone and time-consuming method. However, to optimize DL algorithms, many annotated examples are required, increasing acquisition costs. The aim of this work is to develop automatic and high-performance computational models for left and right atrium (LA and RA) segmentation from a few labelled MRI volumetric images with a 3D Dual U-Net algorithm. For this, a supervised domain adaptation (SDA) method is introduced to infer knowledge from late gadolinium enhanced (LGE) MRI volumetric training samples (80 LA annotated samples) to a network trained with balanced steady-state free precession (bSSFP) MR images of limited number of annotations (19 RA and LA annotated samples). The resulting knowledge-transferred model SDA outperformed the same network trained from scratch in both RA (Dice equals 0.9160) and LA (Dice equals 0.8813) segmentation tasks.     

多晶材料晶粒生长的计算机模拟研究

多晶固体材料显微结构的演化与诸多因素密切相关 ,是一复杂的过程。运用适当的计算机模拟方法进行模拟 ,实现对晶粒生长的预测 ,可为材料研究提供新的方法和重要依据。此文以晶粒生长动力学为基础 ,建立晶粒生长模型 ;分析了晶粒生长过程的计算机模拟理论和方法 ;以MonteCarlo方法为基础 ,提出快速Q statepotts算法 ,简化计算量 ,在PC机上编程实现了正常晶粒生长过程的计算机模拟。得到的显微结构图逼真度较好。通过对结果进行分析处理 ,得到的生长因子为 0 .4 7。     

Angiostatin抑制转移性肿瘤血管生成的数值模拟

针对某些原发性肿瘤能够抑制远处转移性肿瘤快速生长的特性,建立转移性肿瘤附近血管内皮细胞迁移运动的二维、三维离散数学模型,对原发性肿瘤分泌的Angiostatin、转移性肿瘤分泌的促血管生成因子(TAF)共同作用下转移性肿瘤内外微血管网的生成过程进行数值模拟.结果表明,原发性肿瘤分泌的血管抑素对转移性肿瘤内外微血管网的生成速度、成熟度及血管分支数量均有明显的抑制作用;可以降低转移性肿瘤的血管化程度,有效抑制转移性肿瘤的快速生长,达到治疗肿瘤的目的;为肿瘤抗血管生成治疗提供有益信息.     

Modeling of a passive distributed vibration control device using a superposition technique

The modeling of a distributed vibration control device is considered for use in predicting the vibration attenuation benefits and best design practices when such devices are attached to vibrating structures. Three-dimensional (3D) finite element (FE) analysis is possible but the geometric intricacies of the distributed spring layer and potential lack of symmetries of the device placement on a host structure make such a model expensive to compute, particularly for optimization purposes. Thus, an equivalent 2D model is desirable, whereby conventional Ritz-method solution forms may be implemented. This paper describes the continuum domain model of interest and explores the applicability of a superposition approach by which a non-continuous distributed spring layer is homogenized into a 2D continuum. Simple FE models are described which allow computation of the required elasticity parameters of the spring layer. An eigenfrequency analysis comparing 3D FE and 2D model results show good agreement in the lowest order natural frequencies over a range of typical device design parameters. Experimental measurements further validate the modeling approach by comparison of FRF results. The superposition method is found to accurately model non-continuous materials such as the corrugated distributed spring layer of interest and should therefore be applicable to other embodiments of such layers.     

柱状分层固体媒质的声散射

本文评述了各向同性和横向各向同性柱状分层固体声散射理论和实验研究进展 ,介绍了描述圆柱状界面薄层特性的弹簧模型 ,也讨论了该领域中有待进一步研究的一些问题。     

柱状分层固体媒质的声散射

本文评述了各向同性和横向各向同性柱状分层固体声散射理论和实验研究进展介绍了描述圆柱状界面薄层特性的弹簧模型，也讨论了该领域中有待进一步研究的一些问题。     

Theoretical approaches to the electronic structure of disordered solids

A short review is presented on a theoretical numerical approach to the calculation of the electronic structure of disordered and amorphous solids. A chemically specific approach is thereby advocated. A new procedure to fit in a tight-binding method the band structure of complex solids is introduced. The electronic structure of different defect models of a-Si and a-Si:H is described. Then the interplay of disorder and electron–electron interactions in the disordered cubic tungsten bronzes, Na_xWO₃, is addressed which leads to a pseudogap at the Fermi level. This work results in an understanding of the metal–insulator transition for finite doping degree.     

Thermally activated fracture of porous media

The lifetime of a porous media, submitted to a constant subcritical stress, is studied by means of a numerical model. This model is based on a spring network where the porosity is represented by missing springs. The dynamics is produced adding thermal fluctuations in spring forces. The lifetime predicted by the models are compared to experimental data of delayed fracture of porous media submitted to three-point flexion fracture experiments.     

On the validity of Hertz contact law for granular material acoustics

We discuss the acoustical behavior of a 1D model of granular medium, which is a chain of identical spherical beads. In this geometry, we are able to test quantitatively alternative models to the Hertz theory of contact between elastic solids. We compare the predictions of the different models to experimental results that concern linear sound wave propagation in the chain submitted to a static force, and nonlinear solitary wave propagation in an unconstrained chain. We use elastic, elastic-plastic and brittle materials, the beads roughness extends on one order of magnitude, and we also use oxidized metallic beads. We demonstrate experimentally that at low static forces, for all types of beads, the linear acoustic waves propagate in the system as predicted by Hertz's theory. At larger forces, after onset of permanent plastic deformation at the contacts, the brass beads exhibit non Hertzian behavior, and hysteresis. Except in the case of brass beads, the nonlinear waves follow the predictions of Hertz theory. Revised: 28 May 1998 / Accepted: 27 July 1998     

Negative stiffness-induced extreme viscoelastic mechanical properties: stability and dynamics

Use of negative stiffness inclusions allows one to exceed the classic bounds upon overall mechanical properties of composite materials. We here analyse discrete viscoelastic ‘spring’ systems with negative stiffness elements to demonstrate the origin of extreme properties, and analyse the stability and dynamics of the systems. Two different models are analysed: one requires geometrical nonlinear analysis with pre-load as a negative stiffness source and the other is a linearized model with a direct application of negative stiffness. Material linearity is assumed for both models. The metastability is controlled by a viscous element. In the stable regime, extreme high mechanical damping tan?δ can be obtained at low frequency. In the metastable regime, singular resonance-like responses occur in tan?δ. The pre-stressed viscoelastic system is stable at the equilibrium point with maximal overall compliance and is metastable when tuned for maximal overall stiffness. A reversal in the relationship between the magnitude of complex modulus and frequency is also observed. The experimental observability of the singularities in tan?δ is discussed in the context of designed composites and polycrystalline solids with metastable grain boundaries.     

Ermakov-Modulated Nonlinear Schrödinger Models. Integrable Reduction

Nonlinear Schrödinger equations with spatial modulation associated with integrable Hamiltonian systems of Ermakov-Ray-Reid type are introduced. An algorithmic procedure is presented which exploits invariants of motion to construct exact wave packet representations with potential applications in a wide range of physical contexts such as, ‘inter alia’, the analysis of Bloch wave and matter wave solitonic propagation and pulse transmission in Airy modulated NLS models. A particular Ermakov reduction for Mooney-Rivlin materials is set in the broader context of transverse wave propagation in a class of higher-order hyperelastic models of incompressible solids.     

Chemical effects on the frequencies of Si-H vibrations in amorphous solids

We show that the frequencies of the bond-stretching vibrations of Si-H groups in amorphous solids, such as a-Si and a-SiO₂, vary systematically with the electronegativities of the next nearest neighbor atoms of the network. This induction effect is well-known in substituted silane molecules, SiHR₁R₂R₃; however, this represents the first discussion of a similar effect in network solids. The empirical relationship developed for the vibrational frequencies in the silane molecules is shown to apply to the solid state network structures as well. The applicability of this analysis to other network amorphous solids is illustrated by comparing the vibrational frequencies of the P = 0 bond in molecules, 0 = PR₁R₂R₃, and network glasses, e.g., a-P₂O₅, and a-P₂O₅-SiO₂.     

Moving Wigner glasses and smectics: dynamics of disordered Wigner crystals

We examine the dynamics of driven classical Wigner solids interacting with quenched disorder from charged impurities. For strong disorder, the initial motion is plastic, in the form of crossing winding channels. For increasing drive, there is a reordering into a moving Wigner smectic with the electrons moving in separate 1D channels. These different dynamic phases can be related to the conduction noise and I(V) curves. For strong disorder, we show criticality in the voltage onset just above depinning. We obtain the dynamic phase diagram for driven Wigner solids and demonstrate a finite threshold of force for transverse sliding, recently observed experimentally.