Wei Xia^1,2,*, Weilin Kong¹, Yupeng Feng¹, Shengping Shen^1,2,*

The International Conference on Computational & Experimental Engineering and Sciences, Vol.24, No.1, pp. 1-2, 2022, DOI:10.32604/icces.2022.08765

Abstract Post-buckling and panel flutter behaviors of ceramic-metal FGM plates are studied for the skins of supersonic aircrafts. The effects of asymmetric material and temperature distributions, as well as the aerodynamic loads, on the thermo-mechanical response of FGM plates are discussed using finite element simulations. The aero-thermo-elastic model is established by using the simple power law material distribution, the rule of mixture for material effective properties, the nonlinear Fourier equations of heat conduction, von-Karman strain-displacement nonlinear relations, and the piston theory for supersonic aerodynamics. The finite element equations are established using the first-order shear deformable plate elements. The thermal post-buckling equilibrium… More >

Ladislav Sator^1,*, Vladimir Sladek¹, Jan Sladek¹

The International Conference on Computational & Experimental Engineering and Sciences, Vol.24, No.1, pp. 1-1, 2022, DOI:10.32604/icces.2022.08679

Abstract The paper deals with transient analysis of homogeneous as well as FGM (functionally graded material) thin micro/nano plates subjected to transversal dynamic loading. within the highergrade continuum theory of elasticity. The microscopic structure of material is reflected in this higher-grade continuum theory via one material coefficient called the micro-length scale parameter. Furthermore the material can be composed of two micro-constituents what is included in the employed continuum model by functional gradation of the Young’s modulus through the plate thickness with assuming power-law dependence of volume fractions of micro-constituents on the transversal coordinate. The high order derivatives of field variables are… More >

J. Sladek¹, V. Sladek, Ch.Zhang²

Structural Durability & Health Monitoring, Vol.1, No.2, pp. 131-144, 2005, DOI:10.3970/sdhm.2005.001.131

Abstract A meshless method based on the local Petrov-Galerkin approach is proposed for crack analysis in two-dimensional (2-d), anisotropic and linear elastic solids with continuously varying material properties. Both quasi-static and transient elastodynamic problems are considered. For time-dependent problems, the Laplace-transform technique is utilized. A unit step function is used as the test function in the local weak-form. It is leading to local boundary integral equations (LBIEs) involving only a domain-integral in the case of transient dynamic problems. The analyzed domain is divided into small subdomains with a circular shape. The moving least-squares (MLS) method is adopted for approximating the physical… More >

J. Sladek, V. Sladek¹, P. Solek, P.H. Wen

The International Conference on Computational & Experimental Engineering and Sciences, Vol.8, No.4, pp. 165-170, 2008, DOI:10.3970/icces.2008.008.165

Abstract A meshless local Petrov-Galerkin (MLPG) method is applied to solve thermal bending problems described by the Reissner-Mindlin theory. Functionally graded material properties with continuous variation in the plate thickness direction are considered too. A weak formulation for the set of governing equations in the Reissner-Mindlin theory is transformed into local integral equations on local subdomains in the mean surface of the plate with using a unit test function. The meshless approximation based on the Moving Least-Squares (MLS) method is employed for the implementation. More >

Kowal-Michalska K., Mania R.J.

The International Conference on Computational & Experimental Engineering and Sciences, Vol.16, No.2, pp. 55-56, 2011, DOI:10.3970/icces.2011.016.055

Abstract The static and dynamic buckling analysis is conducted for functionally graded composite plates under edgewise compression. The rectangular FGM plates with simply supported edges are studied. In the applied model the material properties vary continuously in the thickness direction according to a simple power law distribution in terms of constituents - it is the ceramic and metal volume fractions. The analyzed plate is composed of ceramic (zirconia or TiC) and metal (steel or aluminum, respectively) phases. Different through-thickness mechanical material properties have been modeled by the volume fraction exponent of value in the range of 0.1A.10. The mechanical material properties… More >

Ch.Raghuveer¹, Mohit Pant¹, I.V. Singh¹, B.K. Mishra¹, V. Bhasin², Kamal Sharma², I.A. Khan²

The International Conference on Computational & Experimental Engineering and Sciences, Vol.12, No.1, pp. 23-32, 2009, DOI:10.3970/icces.2009.012.023

Abstract In this work, element free Galerkin method (EFGM) has been applied to solve solid mechanics problems containing material discontinuities. The method is based on treatment of interface conditions at the variational level. Modifications are made in the EFGM to incorporate material discontinuities, which include the variational form of the governing differential equations. Two bi-material problems i.e. beam and bar has been solved using EFGM, and a clear discontinuity in the stress field has been observed at the interface of two materials. More >

Mohit Pant¹, I. V. Singh¹, B. K. Mishra¹

The International Conference on Computational & Experimental Engineering and Sciences, Vol.12, No.1, pp. 13-22, 2009, DOI:10.3970/icces.2009.012.013

Abstract In this work, element free Galerkin method (EFGM) has been used to obtain the solution of centre crack problem under thermo-mechanical loads as it provides a versatile technique to model static as well as moving crack problems without any requirement of re-meshing. Diffraction criterion has been used to model crack geometry. The effect of crack orientation of centre crack has been studied under both mechanical and equivalent thermal loading under plane stress conditions. The values of mode-I and mode-II stress intensity factors have been evaluated by the interaction integral approach. More >

J. Sladek¹, V. Sladek¹, J. Krivacek¹, Ch. Zhang²

CMES-Computer Modeling in Engineering & Sciences, Vol.8, No.3, pp. 259-270, 2005, DOI:10.3970/cmes.2005.008.259

Abstract A meshless method based on the local Petrov-Galerkin approach is presented for stress analysis in three-dimensional (3-d) axisymmetric linear elastic solids with continuously varying material properties. The inertial effects are considered in dynamic problems. A unit step function is used as the test functions in the local weak-form. It is leading to local boundary integral equations (LBIEs). For transient elastodynamic problems the Laplace-transform technique is applied and the LBIEs are given in the Laplace-transformed domain. Axial symmetry of the geometry and the boundary conditions for a 3-d linear elastic solid reduces the original 3-d boundary value problem into a 2-d… More >

Chien-Ching Ma^1,2, Yi-Hsien Lin², Shih-Hao Lin²

CMC-Computers, Materials & Continua, Vol.31, No.1, pp. 37-64, 2012, DOI:10.3970/cmc.2012.031.037

Abstract In this article, the transient response in a functionally graded material (FGM) slab is analyzed by Laplace transform technique. The numerical Laplace inversion (Durbin's formula) is used to calculate the dynamic behavior of the FGM slab. The slab is subjected an uniform loading at the upper surface, and the lower surface are assumed to be traction-free or fixed conditions. The analytical solutions are presented in the transform domain and the numerical Laplace inversion is performed to obtain the transient response in time domain. To take the accuracy and computational efficiency in consideration, Durbin's method is suitable for calculating the long-time… More >

Y. Sadeghi Ferezghi¹, M.R. Sohrabi¹, S.M Mosavi Nezhad ^{2, *}

CMES-Computer Modeling in Engineering & Sciences, Vol.113, No.4, pp. 497-520, 2017, DOI:10.3970/cmes.2017.113.497

Abstract In this paper, dynamic behavior of non-symmetric Functionally Graded (FG) cylindrical structure under shock loading is carried out. Dynamic equations in the polar coordinates are drawn out using Meshless Local Petrov-Galerkin (MLPG) method. Nonlinear volume fractions are used for radial direction to simulate the mechanical properties of Functionally Graded Material (FGM). To solve dynamic equations of non-symmetric FG cylindrical structure in the time domain, the MLPG method are combined with the Laplace transform method. For computing the inverse Laplace transform in the present paper, the Talbot algorithm for the numerical inversion is used. To verify the obtained results by the… More >