Author
Mohammadreza Ramezani
Bio: Mohammadreza Ramezani is an academic researcher from Ferdowsi University of Mashhad. The author has contributed to research in topics: Finite element method & Nonlinear system. The author has an hindex of 4, co-authored 8 publications receiving 35 citations.
Papers
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TL;DR: In this paper, the strain formulation approach improves accuracy and removes complications, such as shear parasitic errors and sensitivity to mesh distortions, for analyzing plane stress and strain problems, two...
Abstract: The strain formulation approach improves accuracy and removes complications, such as shear parasitic errors and sensitivity to mesh distortions. For analyzing plane stress and strain problems, two ...
15 citations
TL;DR: In this paper, the accuracy of the finite element method has a direct relation with the type of elements and meshes and another issue which has remained less treated is the impact of loading loading.
Abstract: It is widely known that the accuracy of the finite element method has a direct relation with the type of elements and meshes. Another issue which has remained less treated is the impact of loading ...
14 citations
TL;DR: In this article , a nonlinear dynamic analysis of FG/SMA/FG sandwich shells on elastic foundations subjected to the thermomechanical loading is performed for the first time.
Abstract: Nonlinear dynamic analysis of FG/SMA/FG sandwich shells on elastic foundations subjected to the thermomechanical loading is performed in this paper for the first time. The sandwich shells are made of a shape memory alloy (SMA) fiber-reinforced composite and functionally graded (FG) face sheets. Material properties of FGM shells are assumed to be temperature dependent and graded in the thickness direction according to the power-law distribution in terms of the volume fractions of the constituents. The modified Brinson phenomenological model is employed to determine the constitutive characteristics of SMA fibers. The governing equations are established using the higher-order shear deformation theory (HSDT) enriched by semi assumed natural strain (ANS) functions. The nonlinear equations of motion are solved by the Airy’s stress function, the Galerkin method and the fourth-order Runge–Kutta method. In numerical results, the effects of material properties, geometrical parameters, elastic foundations, imperfections and thermal loads on the nonlinear dynamic analysis of FG/SMA/FG hybrid shells are investigated.
14 citations
TL;DR: In this paper, a triangular cracked plane element is proposed for application in fracture mechanics problems, which is based on the strain formulation and the compliance concept, and the additional flexibility caused by the crack is computed based on linear elastic fracture mechanics.
11 citations
TL;DR: In this paper , a composite finite element is proposed using the assumed natural strain (ANS) method, which is based on the unified strain interpolations and the minimized potential energy, and the linearized weak form of compatibility and equilibrium equations is obtained for the geometrically nonlinear analysis.
Abstract: In the present paper, a composite finite element is proposed using the assumed natural strain (ANS) method, which is based on the unified strain interpolations and the minimized potential energy. In the proposed formulation, the linearized weak form of compatibility and equilibrium equations is obtained for the geometrically nonlinear analysis. Additionally, the parabolic strain interpolation functions without any shear correction coefficient are imposed into the first-order shear deformation theory (FSDT) to verify the zero shear stresses condition at the top and bottom surfaces. The iterative arc-length method is applied to handle the post-buckling and free vibration responses. For the micromechanical part, the effective elasticity modulus based on the modified Halpin–Tsai micromechanical model is attained to analyze functionally graded graphene platelet-reinforced composite (FG-GPLRC) plates with and without hole. Furthermore, the effective mass density and the Poisson’s ratio are assessed via the rule of mixture. Therefore, the major novelty of this paper is in detecting the nonlinear thermomechanical behavior of GPLRC plates using robust strain-based interpolations. Hence, nonlinear equilibrium paths are plotted to illustrate the effects of different boundary conditions, weight fractions and distribution schemes on GPLRC plates. • A finite element is proposed ANS method. • Modified FSDT is used to establish the governing equations. • Halpin–Tsai micromechanical model is employed to measure the effective elasticity modulus. • Analysis of thermo-mechanically loaded GPLRC plates is performed.
11 citations
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01 Jan 1997
TL;DR: This chapter introduces the finite element method (FEM) as a tool for solution of classical electromagnetic problems and discusses the main points in the application to electromagnetic design, including formulation and implementation.
Abstract: This chapter introduces the finite element method (FEM) as a tool for solution of classical electromagnetic problems. Although we discuss the main points in the application of the finite element method to electromagnetic design, including formulation and implementation, those who seek deeper understanding of the finite element method should consult some of the works listed in the bibliography section.
1,820 citations
TL;DR: In this article , a mixed variational framework is conceived based on ad hoc functional space of kinetic test fields, wherein a complete set of governing equations, classical and non-standard boundary conditions, and the constitutive relations are integrated into a solitary functional.
16 citations
TL;DR: In this paper, the accuracy of the finite element method has a direct relation with the type of elements and meshes and another issue which has remained less treated is the impact of loading loading.
Abstract: It is widely known that the accuracy of the finite element method has a direct relation with the type of elements and meshes. Another issue which has remained less treated is the impact of loading ...
14 citations
TL;DR: In this article , a nonlinear dynamic analysis of FG/SMA/FG sandwich shells on elastic foundations subjected to the thermomechanical loading is performed for the first time.
Abstract: Nonlinear dynamic analysis of FG/SMA/FG sandwich shells on elastic foundations subjected to the thermomechanical loading is performed in this paper for the first time. The sandwich shells are made of a shape memory alloy (SMA) fiber-reinforced composite and functionally graded (FG) face sheets. Material properties of FGM shells are assumed to be temperature dependent and graded in the thickness direction according to the power-law distribution in terms of the volume fractions of the constituents. The modified Brinson phenomenological model is employed to determine the constitutive characteristics of SMA fibers. The governing equations are established using the higher-order shear deformation theory (HSDT) enriched by semi assumed natural strain (ANS) functions. The nonlinear equations of motion are solved by the Airy’s stress function, the Galerkin method and the fourth-order Runge–Kutta method. In numerical results, the effects of material properties, geometrical parameters, elastic foundations, imperfections and thermal loads on the nonlinear dynamic analysis of FG/SMA/FG hybrid shells are investigated.
14 citations
TL;DR: In this paper, a new higher-order triangular plane element with drilling degrees of freedom is proposed by assumption of second-order strain field, and a series of benchmark problems are solved to evaluate performance of the suggested element.
13 citations