General model of wood in typical coupled tasks. Part I. – Phenomenological approach

Abstract

The main aim of this work is focused on FE modeling of wood structure. This task is conditioned mainly by different organized structures/regions (tissues, anomalies...) and leads to homogenization process of multiphysics declaration of common scientific and engineering problems. The crucial role in this paper is played by derivation of coefficient form of general PDE which is solvable by nowadays numerical solvers. Generality of supposed model is given by wide range of coupled physical fields included in the model. Used approach summarizes and brings together models for various fields of matter and energy common in wood material in wood drying process, but is also suitable for a lot of different tasks of similar materials. Namely microwave drying of wood with orthotropic, visco-elastic material properties together with time, moisture and temperature dependency of structural strains by modified mechanical properties were included. Specific matrixes of elasticity for in­di­vi­dual fields were derived. Thermal field in wood was described by conduction type of spreading. Coupling of physical fields is based on diffusive character of temperature, moisture, static pressure fields movement.

Keywords

• FEM
• multiphysics
• wood drying