Nonlinear three-dimensional anisotropic material model for failure analysis of timber

Abstract

In this paper, a constitutive material model is proposed to model the nonlinear mechanical response of timber, as elastoplastic orthotropic material under three-dimensional (3D) stress state. An associated flow rule model based on Hoffmann yield criterion and plastic potential is adopted for describing the plasticity of timber under compression. Isotropic strain hardening during plastic deformation is incorporated into Hoffman yield criterion by assuming that equivalent yield stress is a function of the equivalent plastic strain. A stress-based continuum damage formulation with four independent failure criteria in tension and compression is used. The proposed model is implemented as a user material subroutine UMAT in ABAQUS. The results obtained in numerical simulations are evaluated and compared with experimental results. A good agreement has been found between numerical simulations and the experimental results. Therefore, the proposed constitutive model can be used further in numerical simulations of the anisotropic behavior of timber.

Application of Finite Element Method for Mechanical Characterization of Wood and Reconstituted Lignocellulosic-Based Composites – A Review

“…Examples of other investigations where FEM reportedly produced predictions that corresponded well with experimental outcomes include the evaluation of mechanical behaviors of timber beams and joints by Khorsandnia et al [54] and multi-layered wooden beams with welded-through wood dowel by O'Loinsigh et al [15], load-slip behavior of nailed wood joints under cyclic loading by Chui et al [67], failure analysis of timber in bending, tension, and compression states by Eslami et al [53], strength properties of laminated veneer lumber in flat and edge-wise bending by Gilbert et al [68], non-linear flexural behavior of cross-insulated timber panel with polyurethane foam core by Santos et al [69], flexural behaviors of glulam timber arches by Smidova et al [70] and hybrid timber beams by Tran et al [51], and strength analysis of pine and beech wood dowel and tenon corner joints by Kaygin et al [28] to name a few.…”

“…Perhaps, establishing a relationship between meshing and specimen configuration could provide better FEA implementation considering the uniqueness of wood and other lignocellulosic fibers. Eslami et al [53] reported that meshing significantly influenced the softening stage of a modeled timber behavior. Besides, numerical solutions from FE simulations are mesh-dependent [14] thus it is crucial to adopt finite elements that will perform well under convoluted stress states [41].…”

Structural Model Test for Strength Performance Evaluation of Disconnectable Mooring Apparatuses Installed on Floating-Type Offshore Wind Turbine

“…Therefore, in or-der to apply the ABS material properties obtained from the tensile tests to the finite element analysis, the orthotropic material constants must be estimated. The orthotropic material model for determining the orthotropic material constants can be defined as follows [17]. The 3-D printer used to produce the tensile test specimens was a fused filament fabrication output type, and the diameters of the nozzle and filament were 0.4 mm and 1.75 mm.…”

Mechanical Properties of Dahurian Larch Wood under Cyclic Loading: Experiments and Constitutive Model

“…Chen et al [11] and Yang et al [12] established an elastic-plastic constitutive model. Based on continuum damage mechanics, three-dimensional elastic damage constitutive models of wood were proposed by Sandhaas et al [13], Gharib et al [14], Eslami et al [15], and Arruda et al [16], and elastic-plastic damage constitutive models by Sirumbalzapata et al [17], Wang et al [18], Benvenuti et al [19], and Zhang et al [20].…”