Finite elements methods

Finite element analysis (FEA) or the finite element method (FEM) (Picture 1) is the product of the digital age in the 1950s by the promotion of digital computers. It is a numerical way [1] and a computer-based tool that uses mathematical calculations [2] in a virtual environment [3] to simulate and analyze products and systems [4] by engineers and scientists in a different range of industries [3]. This article describes the ways to develop the finite element of each structure by validating its data step by step for doing further studying and modeling. According to different research sources in finite elements methods until the end of January 2019, the finite element method involves modeling the structure by using meshing process [2], different range of properties, verified data [3–5], and different software according to its purposes [2]. Moreover, the most important step after modeling is a validation of the model by testing decompression and stabilization procedures [6] thereby comparing with experimentally validated data. The modeling method introduced in this study can be used for future analysis and modeling in a wide range of industries, biomechanics, and buildings since it benefits from handling any mathematical or physical problem [4, 7], optimizing performance, designs and cost, reducing the development time, testing [4], the number of physical prototypes [8] , and material usage [3], improving safety, information [4] and quality [7], having freedom to select the elements, its functions [9] and different materials [3], and making complex geometrical calculations [7]. The adoption of this method makes it easy to predict the product performance and reliability, determine the role of material properties and behavior [10–12] and perform parametric analysis of loadings