Archives of Mechanics最新文献_第5页

Acoustic propagation in inhomogeneous fluids: regularization via the introduction of fine particles 非均匀流体中的声传播:通过引入细颗粒的正则化

IF 0.8 4区工程技术

Archives of Mechanics Pub Date : 2020-01-14 DOI: 10.24423/AOM.3370

P. Jordan

引用次数: 2

Use of the higher-order plate theory of I. N. Vekua type in problems of dynamics of heterogeneous plane waveguides I. N. Vekua型高阶板理论在非均匀平面波导动力学问题中的应用

IF 0.8 4区工程技术

Archives of Mechanics Pub Date : 2019-11-12 DOI: 10.24423/AOM.3074

O. Egorova, L. Rabinskiy, S. Zhavoronok

引用次数: 5

Application of the Monte Carlo method with meshless random walk procedure to selected scalar elliptic problems 蒙特卡罗无网格随机漫步法在选定标量椭圆问题中的应用

IF 0.8 4区工程技术

Archives of Mechanics Pub Date : 2019-10-24 DOI: 10.24423/AOM.3111

S. Milewski

{"title":"Application of the Monte Carlo method with meshless random walk procedure to selected scalar elliptic problems","authors":"S. Milewski","doi":"10.24423/AOM.3111","DOIUrl":"https://doi.org/10.24423/AOM.3111","url":null,"abstract":"The combined stochastic-deterministic approach, which may be applied to the numerical analysis of a wide range of scalar elliptic problems of civil engineering, is presented in this paper. It is based on the well-known Monte Carlo concept with a random walk procedure, in which series of random paths are constructed. Additionally, it incorporates selected features of the meshless finite difference method, especially star selection criteria and a local weighted function approximation. The approach leads to the explicit stochastic formula relating one unknown function value with all a-priori known data parameters. Therefore, it allows for a fast and effective estimation of the solution value at the selected point(s), without the necessity of generation of large systems of equations, combining all unknown values. In such a manner, the proposed approach develops and extends the original standard Monte Carlo one toward analysis of boundary value problems with more complex shape geometry, natural boundary conditions, non-homogeneous right-hand sides as well as anisotropic and non-linear material models. The paper is illustrated with numerical results of selected elliptic problems, including a torsion problem of a prismatic bar, a stationary heat flow analysis with anisotropic and non-linear material functions, as well as an inverse heat problem. Moreover, the appropriate coupling with other deterministic methods (e.g., the finite element method) is considered.","PeriodicalId":8280,"journal":{"name":"Archives of Mechanics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2019-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49165809","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: 1

Fast GPU simulation of reinforced concrete at the scale of reinforcement ribs by the discrete element method 基于离散元法的钢筋混凝土配筋快速GPU模拟

IF 0.8 4区工程技术

Archives of Mechanics Pub Date : 2019-10-24 DOI: 10.24423/AOM.3148

R. Pacevič, R. Kačianauskas, A. Kačeniauskas, G. Kaklauskas, R. Barauskas

{"title":"Fast GPU simulation of reinforced concrete at the scale of reinforcement ribs by the discrete element method","authors":"R. Pacevič, R. Kačianauskas, A. Kačeniauskas, G. Kaklauskas, R. Barauskas","doi":"10.24423/AOM.3148","DOIUrl":"https://doi.org/10.24423/AOM.3148","url":null,"abstract":"The paper presents the development of the GPU-based discrete element method (DEM) code for simulating damage and fracture of cohesive solids with application to reinforced concrete at the scale of reinforcement ribs. The solid volume of concrete and steel is modelled by bonded spherical particles. Very fine discretization, containing more than million particles, is applied to describe the 3D reinforcement bar geometry at the scale of ribs and to investigate cracking behaviour of concrete near the reinforcement bar. The numerical model is validated by using experimental results of the double pull-out test. Influence of the discretization scale to the numerical solution is evaluated by using the reinforcement strain profiles and the cracking patterns. The developed GPU-based DEM algorithm efficiently handles interaction of particles, does not require any atomic operation and allows performing fast damage and fracture simulations with large number of particles. The performance measured on GPU is compared with that attained on different CPUs for varying number of particles. The high value of the Cundall number (particle number multiplied by time steps computed per second) equal to 4.3E+07 is measured on NVIDIA® Tesla™ P100 GPU in the case of 1858560 particles.","PeriodicalId":8280,"journal":{"name":"Archives of Mechanics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2019-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43271696","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: 2

Modeling of anisotropic hardening and grain size effects based on advanced numerical methods and crystal plasticity 基于先进数值方法和晶体塑性的各向异性硬化和晶粒尺寸效应建模

IF 0.8 4区工程技术

Archives of Mechanics Pub Date : 2019-10-24 DOI: 10.24423/AOM.3150

B. Berisha, S. Hirsiger, H. Hippke, P. Hora, A. Mariaux, David Leyvraz, C. Bezençon

{"title":"Modeling of anisotropic hardening and grain size effects based on advanced numerical methods and crystal plasticity","authors":"B. Berisha, S. Hirsiger, H. Hippke, P. Hora, A. Mariaux, David Leyvraz, C. Bezençon","doi":"10.24423/AOM.3150","DOIUrl":"https://doi.org/10.24423/AOM.3150","url":null,"abstract":"Modeling of anisotropic behavior as well as hardening behavior based on micromechanical quantities in combination with a spectral solver is the focus of this study. A deep drawing steel as well as two different aluminum alloys are investigated. Prediction capabilities of the proposed modeling strategy are discussed and the benefits of the micromechanical model are highlighted. Further, a comparison of the crystal plasticity (CP) results with the well established macroscopic model YLD2000-2d underlines the importance of the CP as a complementary modeling technique to the macroscopic modeling. Both models – the microscopic as well as the macroscopic – are validated on experimental data mainly gained from uniaxial and biaxial tests. In the second part of this study, strong inhomogeneous microstructures are investigated from a modeling point of view. For this purpose, a Hall–Petch phenomenological model is implemented in the CP open-source code DAMASK to take the grain size effects into account. Appropriate combinations of the grain sizes in a bimodal microstructure are presented in order to increase the strength as well as ductility of a generic aluminium alloy. The proposed numerical strategy of coupling the CP and efficient FFT-based spectral solver supports the development of new materials in an optimal way.","PeriodicalId":8280,"journal":{"name":"Archives of Mechanics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2019-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46904951","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: 5

Probabilistic solutions of a stretched beam discretized with finite difference scheme and excited by Kanai-Tajimi ground motion Kanai Tajimi地震动激励下用有限差分格式离散的拉伸梁的概率解

IF 0.8 4区工程技术

Archives of Mechanics Pub Date : 2019-09-18 DOI: 10.24423/AOM.3145

G. Er, V. Iu, Hai-En Du

{"title":"Probabilistic solutions of a stretched beam discretized with finite difference scheme and excited by Kanai-Tajimi ground motion","authors":"G. Er, V. Iu, Hai-En Du","doi":"10.24423/AOM.3145","DOIUrl":"https://doi.org/10.24423/AOM.3145","url":null,"abstract":"The probabilistic solutions of the elastic stretched beam are studied under the excitation of Kanai–Tajimi ground motion. Finite difference scheme is adopted to formulate the nonlinear multi-degree-of-freedom system about the random vibration of the beam. The state-space-split is employed to make the high-dimensional Fokker–Planck–Kolmogorov equation reduced to 4-dimensional Fokker–Planck–Kolmogorov equations which are solved by the exponential polynomial closure method for the probabilistic solutions of the system responses. The rules for selecting the state variables are proposed in order to reduce the dimensionality of Fokker–Planck–Kolmogorov equation by the state-space-split method. The numerical results obtained by the state-space-split and exponential polynomial closure method, Monte Carlo simulation method, and equivalent linearization method are presented and compared to show the computational efficiency and numerical accuracy of the state-space-split and exponential polynomial closure method in analyzing the probabilistic solutions of the strongly nonlinear stretched beam systems formulated by a finite difference scheme and excited by the Kanai–Tajimi ground motion.","PeriodicalId":8280,"journal":{"name":"Archives of Mechanics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2019-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45584759","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: 8

p-Extension of C0 continuous mixed finite elements for plane strain gradient elasticity 平面应变梯度弹性C0连续混合有限元的p-扩展

IF 0.8 4区工程技术

Archives of Mechanics Pub Date : 2019-08-23 DOI: 10.24423/AOM.3219

S. Markolefas, T. Papathanasiou, S. Georgantzinos

{"title":"p-Extension of C0 continuous mixed finite elements for plane strain gradient elasticity","authors":"S. Markolefas, T. Papathanasiou, S. Georgantzinos","doi":"10.24423/AOM.3219","DOIUrl":"https://doi.org/10.24423/AOM.3219","url":null,"abstract":"A mixed finite element formulation is developed for the general 2D plane strain, linear isotropic gradient elasticity problem. Form II of the dipolar strain gradient theory for micro-structured solids is considered. The main variables are the double stress tensor μ and the displacement field vector u . Standard C 0 −continuous, high polynomial order hierarchical basis functions are employed for the finite element solution spaces (p-extension). The formulation is numerically validated against the standard axial tension patch test and the Mode I crack problem. The theoretical convergence rates of the uniform h - and p -extensions are confirmed using a benchmark problem where only double stresses appear. Results for the crack problem demonstrate that proper mesh refinement at areas of steep gradients ensures reproduction of the exact solution behaviour at different length scales. More specifically, the asymptotic exponents of the crack face opening displacement and the crack head true stress solutions of the Mode I crack problem are recovered. Finally, the upper bound of the true tensile normal stress near the crack tip is estimated. This upper bound is of major importance since the nature of the exact solution may change radically as we proceed from the macro- to micro-scale.","PeriodicalId":8280,"journal":{"name":"Archives of Mechanics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2019-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43105045","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: 3

An equivalent single layer shear deformation plate theory with superposed shape functions for laminated composite plates 复合材料层合板具有叠加形状函数的等效单层剪切变形板理论

IF 0.8 4区工程技术

Archives of Mechanics Pub Date : 2019-06-28 DOI: 10.24423/AOM.3170

M. Aydogdu

{"title":"An equivalent single layer shear deformation plate theory with superposed shape functions for laminated composite plates","authors":"M. Aydogdu","doi":"10.24423/AOM.3170","DOIUrl":"https://doi.org/10.24423/AOM.3170","url":null,"abstract":"A single layer shear deformation plate theory with superposed shape functions for laminated composite plates has been proposed. Some of the previously developed, five degrees of freedom shear deformation theories, including parabolic [1], hyperbolic [2], exponential [3] and trigonometric [4] plate theories have been superposed by applying different theories in the different in- plane directions of the composite plate. Statics and dynamics of composite plate problems have been investigated. It was obtained that using different shape functions in the different in-plane directions may decrease the percentage error of stress and deflection. Present hyperbolic-exponential and parabolic-exponential theories predict stiffer properties (give lower bending and stress values, and higher frequency, and buckling loads when compared to the 3-D elasticity). Some improvements were determined for y-z component of the transverse shear stress using hyperbolic-exponential and parabolic-exponential theories for symmetric cross-ply composite plates when compared to available single shape function plate models. Global behaviours (vibration frequency and critical buckling loads) are predicted within %5 accuracy similar to plate theories with single shape functions.","PeriodicalId":8280,"journal":{"name":"Archives of Mechanics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2019-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44744783","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: 5

Size-dependent deflection of cross-ply composite laminated plate induced by piezoelectric actuators based on a re-modified couple stress theory 基于再修正偶联应力理论的压电致动器诱导交叉铺层复合材料层合板尺寸相关挠曲

IF 0.8 4区工程技术

Archives of Mechanics Pub Date : 2019-06-28 DOI: 10.24423/AOM.3047

Hongtao Wang, Z. Li, S. Zheng

引用次数: 1

Screw dislocations in piezoelectric laminates with four or more phases 具有四个或更多相的压电层压板中的螺旋位错

IF 0.8 4区工程技术

Archives of Mechanics Pub Date : 2019-06-28 DOI: 10.24423/AOM.3218

X. Wang, L. Chen, P. Schiavone

引用次数: 0