Abstract Concrete is a predominant construction material due to a number of advantages. Disadvantages are given by its limited tensile strength and brittle tensile failure behavior. Fiber reinforced cement composites (FRCC) can improve these weaknesses to a large degree. But a proper composition design especially with respect to fiber and bond properties still follows a trial and error approach. Suitable simulation models can overcome this state whereby a mesoscopic view is chosen for the following. The Finite-Element-Method offers appropriate options due to its high flexibility. But special features are required which exceed standard FEM. This concerns modeling of crack formation in the cement matrix, a large number of fibers with arbitrary random distribution and the interaction of fibers with the cement matrix via bond. The paper addresses these items with (1) a further development of the Strong Discontinuity Approach to model discrete cracking of continuum elements on the element level, (2) discretization of single fibers by truss elements with truss nodes independently placed of continuum nodes, (3) connecting them by special bond elements. This allows for nonlinear behavior with respect to cement matrix, fiber material and bond laws. The contribution addresses theoretical basics, special implementation issues, a validation with simple configurations and a simulation of an FRCC experiment.

中文翻译：

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使用显式表示纤维的强不连续性方法对纤维增强水泥复合材料进行有限元建模

摘要 由于许多优点，混凝土是一种主要的建筑材料。缺点在于其有限的拉伸强度和脆性拉伸破坏行为。纤维增强水泥复合材料（FRCC）可以在很大程度上改善这些弱点。但是，正确的成分设计，尤其是在纤维和粘合性能方面，仍然遵循试错法。合适的模拟模型可以克服这种状态，从而为以下选择细观视图。有限元方法由于其高度灵活性而提供了适当的选项。但是需要超出标准 FEM 的特殊功能。这涉及对水泥基体中裂缝形成的建模、具有任意随机分布的大量纤维以及纤维与水泥基体通过结合的相互作用。这篇论文通过 (1) 进一步发展了强不连续性方法来模拟单元级连续单元的离散开裂，(2) 用桁架节点独立放置连续单元节点的桁架单元对单纤维进行离散化，(3 ) 通过特殊的键元素将它们连接起来。这允许关于水泥基体、纤维材料和粘合定律的非线性行为。贡献解决了理论基础、特殊实现问题、简单配置的验证和 FRCC 实验的模拟。(3)通过特殊的结合元件将它们连接起来。这允许关于水泥基体、纤维材料和粘合定律的非线性行为。该贡献解决了理论基础、特殊实现问题、简单配置的验证和 FRCC 实验的模拟。(3)通过特殊的结合元件将它们连接起来。这允许关于水泥基体、纤维材料和粘合定律的非线性行为。该贡献解决了理论基础、特殊实现问题、简单配置的验证和 FRCC 实验的模拟。