Growth of green wood based on a phase field model

Tree engineering is a young discipline utilizing trees as structural elements, where the determination of limit loads in tree trunks great importance. Simple numerical models underestimate load-bearing capacity green wood contrast to experimental bending tests. A well-known reason for this residual stress state living lowering compressive towards surface. This results an overall state, which increases load capacity, since tensile strength commonly higher than its strength. By determining growth stress, more accurate evaluation possible. The non-linear and time dependent function thickness direction trunk. In order simulate phase field model employed. morphology result innumerable often temporary environmental stimuli, also change interact with genetically predisposed tropisms. Therefore, we use image processing capture individual existing tree, based within predefined direction. basis primary model. Additionally simulates secondary growth, corresponds Except tropical areas, associated rings, assign attribute modelled material. While branch structure several tropisms (e.g. gravitropism) are responsible off-centre accumulation woody material, stem region only follow stress-induced growth. mechanism can respond either principal or our model, difference observed hardwoods softwoods. Since matrix represents anisotropic material distinct fiber direction, approach it by transversely isotropic constitutive law, whose coincides