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**3D Solid elements** finite element MATLAB code

This MATLAB code is for three-dimensional elastic 8-noded solid elements; This code plots deformed configuration with stress field as contours on it for each increment so that you can have animated deformation. Results are verified with Abaqus results; arbitrary input geometry, nodal loads, and material properties for each element can be defined by user.

Below is a video of the result of my code plus the same problem in Abaqus for verification:

## How can I get this code (matlab files or functions)?

You may have these codes for your research purposes. Email me at hosseinali.sut@gmail.com using your official/academic email address.## What other codes are available at matlab-fem.com?

1D Spring elements finite element MATLAB code1D Beam elements finite element MATLAB code

2D Truss elements finite element MATLAB code

2D Beam elements finite element MATLAB code

2D Solid elements finite element MATLAB code

2D Penalty and Lagrange Multiplier Contact finite element MATLAB code

2D Large deformations finite element MATLAB code

2D XFEM for Crack eXtended finite element MATLAB code

3D Truss elements finite element MATLAB code

3D Solid elements finite element MATLAB code

3D Large deformations finite element MATLAB code

## What is Finite Element Method?

The finite element method (FEM) is a numerical method for solving problems of engineering and mathematical physics. It is also referred to as finite element analysis (FEA). Typical problem areas of interest include structural analysis, heat transfer, fluid flow, mass transport, and electromagnetic potential. The analytical solution of these problems generally require the solution to boundary value problems for partial differential equations. Read more about Finite Element Methods## What is MATLAB?

MATLAB (matrix laboratory) is a multi-paradigm numerical computing environment. A proprietary programming language developed by MathWorks, MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages, including C, C++, C#, Java, Fortran and Python.## What reference books did I use for my codes?

Some of the main textbooks I used for codes are:General concepts and basic codes:

- Finite Element Procedures by K.J. Bathe
- The Finite Element Method (v.1 & v.2 & v.3) by Zienkiewicz & Taylor
- Fundamental finite element analysis and applications by M. Asghar Bhatti

- Computational Contact Mechanics by Peter Wriggers

- Finite Elements in Plasticity by D. R. J. Owen, E. Hinton
- Non-Linear Finite Element Analysis of Solids and Structures (vol. 1 & 2) by M. A. Crisfield