Abstract Restoration of ancient wooden beams and design of smart wood-based structures are gaining an increasing interest in building industry. In this context, the computational challenge is to develop numerical constitutive models that account for the complex and strongly non-linear behaviour of wood. Wood is a natural composite exhibiting pronounced orthotropic behaviour, and markedly different properties along the parallel and transverse-to-the-fiber directions. It displays a strongly non-linear mechanical behavior, almost elasto-plastic at compressive loadings and elasto-damaging when subjected to tensile and shearing stresses. We devise here a novel constitutive model for wood with a multi-surface failure domain resulting from a set of plastic laws for compressive failure modes and orthotropic damage laws for tensile/shear failure modes. The advantage over existing formulations is that the coexistence of anisotropic damage and plasticity constitutive laws allows to correctly capture brittle failure induced by strain localization as well as the possible occurrence of ductile plastic behavior. Furthermore, the present contribution shows how to numerically treat the simultaneous presence of anisotropic damage and plasticity in a general algorithmic multi-surface framework. It is shown that the obtained numerical results satisfactorily fit to experimental data.

中文翻译：

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木材的正交各向异性多表面损伤-塑性有限元公式：第一部分 - 本构模型

摘要 古木梁的修复和智能木基结构的设计越来越受到建筑行业的关注。在这种情况下，计算方面的挑战是开发能够解释木材复杂且强非线性行为的数值本构模型。木材是一种天然复合材料，表现出明显的正交各向异性行为，并且沿平行和横向于纤维方向具有明显不同的特性。它表现出强烈的非线性机械行为，在压缩载荷下几乎是弹塑性的，在受到拉伸和剪切应力时会发生弹塑性损坏。我们在这里设计了一种新的木材本构模型，该模型具有多表面破坏域，该模型由一组压缩破坏模式的塑性定律和拉伸/剪切破坏模式的正交各向异性损伤定律产生。与现有公式相比的优势在于，各向异性损伤和塑性本构法则的共存允许正确捕获由应变局部化引起的脆性破坏以及可能发生的塑性塑性行为。此外，目前的贡献展示了如何在通用算法多表面框架中数值处理各向异性损伤和塑性的同时存在。结果表明，所得数值结果与实验数据吻合良好。目前的贡献展示了如何在通用算法多表面框架中对同时存在的各向异性损伤和塑性进行数值处理。结果表明，所得数值结果与实验数据吻合良好。目前的贡献展示了如何在通用算法多表面框架中数值处理各向异性损伤和塑性的同时存在。结果表明，所得数值结果与实验数据吻合良好。