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首页> 外文会议>International Structural Engineering and Construction Conference(ISEC-03); 20050920-23; Shunan(JP) >Equivalency of strain and stress space formulation in the modeling of nonlinear behavior of concrete and mortar materials
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Equivalency of strain and stress space formulation in the modeling of nonlinear behavior of concrete and mortar materials

机译：混凝土和砂浆材料非线性行为建模中的应变和应力空间公式的等效性

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This paper establishes the equivalency between the stress and strain space formulation of damage mechanics for concrete. It is assumed that a continuum approach can be taken to describe the constitutive relation for concrete and that couple stresses are absent. For a rate-independent behavior and infinitesimal deformations and utilizing the Helmholtz Free Energy (HFE) and Gibbs Free Energy (GFE), as energy potentials, respective damage surfaces in the strain space and stress space are presented. Adopting additive decomposition of the stiffness and compliance tensors, kinetic relations are developed and used to capture the anisotropy caused by induced damage. Invoking the dissipation inequality enables one to formulate damage potentials involving damage functions. Damage functions that are sometimes referred to "critical stresses" or "critical strains" (Ortiz 1985) are identified in this paper. The formulation also presents a new damage model in the strain space for concrete under tensile states of stress.
机译：本文建立了混凝土损伤力学的应力与应变空间公式之间的等价关系。假定可以采用连续方法来描述混凝土的本构关系，并且不存在耦合应力。为了获得与速率无关的行为和极小的变形，并利用亥姆霍兹自由能（HFE）和吉布斯自由能（GFE）作为能势，给出了应变空间和应力空间中的各个破坏面。通过对刚度和柔度张量进行加法分解，建立了动力学关系，并将其用于捕获由诱发损伤引起的各向异性。调用耗散不等式可使人们制定涉及损坏功能的潜在损坏。本文确定了有时被称为“临界应力”或“临界应变”的破坏函数（Ortiz 1985）。该公式还提出了在应力拉伸状态下混凝土应变空间中的新损伤模型。

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