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Stress distribution in an anisotropic beam subjected to load

Kyzioł L.

Journal of KONES

2018

Vol. 25, No. 2

207--214

The article presents the physical equations describing the isotropic and anisotropic materials. Orthotropic material and monotropic are special varieties of anisotropy. Constructional steel, pine wood and polyester-glass composite were tested. The beams were made from these materials. The beams were subjected to external loads. The external load caused internal forces in beams. Calculations of stress distribution were carried out by finite element method (Patran – Nastran software). The calculation results allowed for precise illustrate the distribution of stress especially in layered materials. The load is basically a transmitted through the strong layers of composite. This is illustrated in the figures. Wood is materials of a layered structure and is classified as inhomogeneous materials. Whereas steel is considered as a homogeneous material. Passing from the level of microscopic inhomogeneity to the macroscopic homogeneous level is called homogenization. This method formulates the macroscopic description by homogenizing microscopic properties. For the purpose of mathematical description of a material, the real centre can be substituted by a homogeneous centre. The homogenization method is commonly used to describe the properties of rocks, wood, composites, reinforced concrete, as well as human osseous tissues. The description of the mechanical properties of isotropic materials is based on the theory of elasticity, while the anisotropic materials are based on the anisotropic theory of elasticity. Calculations of anisotropic materials are quite complicated (large number of physical quantities) and sometimes-approximate results are obtained.