Yong Wang, Yongyan Wang^*, Nan Qin, Sa Huang, Le Chang, Shunzheng Hou

Computer Systems Science and Engineering, Vol.39, No.1, pp. 121-131, 2021, DOI:10.32604/csse.2021.014464

Abstract The work presented in this paper was conducted to quantify the relationship between the pore characteristics and mechanical properties of white sandstone. The study include tests carried out under the coupling effects of chemical corrosion, temperature, nuclear magnetic resonance, and mechanical tests. Computer fractal theory was employed to describe and quantify the characteristics of the growth of pores in white sandstone under the same coupling effect. A custom developed program code, in the MATLAB software platform, was used for calculating the growths of the pores in white sandstone when subjected to coupling effects. The correlation between the computer fractal dimension… More >

Hamid Ghasemi¹, Harold S. Park², Xiaoying Zhuang^{3, 4, *}, Timon Rabczuk^{5, 6}

CMC-Computers, Materials & Continua, Vol.65, No.2, pp. 1157-1179, 2020, DOI:10.32604/cmc.2020.08358

Abstract Flexoelectricity is a general electromechanical phenomenon where the electric polarization exhibits a linear dependency to the gradient of mechanical strain and vice versa. The truncated pyramid compression test is among the most common setups to estimate the flexoelectric effect. We present a three-dimensional isogeometric formulation of flexoelectricity with its MATLAB implementation for a truncated pyramid setup. Besides educational purposes, this paper presents a precise computational model to illustrate how the localization of strain gradients around pyramidal boundary shapes contributes in generation of electrical energy. The MATLAB code is supposed to help learners in the Isogeometric Analysis and Finite Elements Methods… More >

Cheng Hu^*

Sound & Vibration, Vol.53, No.5, pp. 199-206, 2019, DOI:10.32604/sv.2019.07712

Abstract Taking the complex mechanical systems as the research project, a theoretical multi-degree-of-freedom (MDOF) model was established. Based on the vibration characteristics analysis of this system, a novel method of vibration mitigation was proposed, which can be applied to most of the complex mechanical systems. Through this method, limited grounding stiffness was made use of and added to certain degree of freedom (DOF) discretely. Thus, the root-meansquare (RMS) of the systems amplitude can be reduced to ideal level. The MATLAB code based on this method was attached, which was tested on the theoretical model. Consider that complex mechanical systems are nonlinear… More >

Pengxiao Chen¹, Kai Huang^{1, 2}, Fenghe Wang¹, Weijun Xie¹, Shuo Wei¹, Deyong Yang^{1, *}

FDMP-Fluid Dynamics & Materials Processing, Vol.15, No.4, pp. 367-389, 2019, DOI:10.32604/fdmp.2019.07762

Abstract The so-called pore network model has great advantages in describing the process of heat and mass transfer in porous media. In order to construct a random two-dimensional (2D) irregular pore network model for an unconsolidated material, image processing technology was used to extract the required topological and geometric information from a 2D sample of soybean particles, and a dedicated algorithm was elaborated to merge some adjacent small pores. Based on the extracted information, a 2D pore network model including particle information was reconstructed and verified to reflect the pore structure of discrete particles. This method was used to reconstruct a… More >

Dǎnuţ Receanu¹, Emil Budescu¹

The International Conference on Computational & Experimental Engineering and Sciences, Vol.14, No.1, pp. 23-28, 2010, DOI:10.3970/icces.2010.014.023

Abstract The paper presents a new method for solving with precision of the differential equations of mechanical systems with two, three or more degrees of freedom. Always, the mechanical systems have coupled unknown quantities of differential equations. The method uncouples the unknown quantities using a graphic program: MATLAB- simulink. More >

A. Grebennikov¹

The International Conference on Computational & Experimental Engineering and Sciences, Vol.15, No.3, pp. 85-90, 2010, DOI:10.3970/icces.2010.015.085

Abstract New General Ray (GR) method for solution of the Dirichlet boundary value problem for the class of elliptic Partial Differential Equations (PDE) is proposed. GR-method consists in application of the Radon transform directly to the PDE and in reduction PDE to assemblage of Ordinary Differential Equations (ODE). The class of the PDE includes the Laplace, Poisson and Helmgoltz equations. GR-method presents the solution of the Dirichlet boundary value problem for this type of equations by explicit analytical formulas that use the direct and inverse Radon transform. Proposed version of GR-method justified theoretically, realized by fast algorithms and MATLAB software, which… More >