Damage tolerance in parallel systems

Biagi, Valerio De; Chiaia, Bernardino

doi:10.1177/1056789516630777

Cited by 11 publications

(4 citation statements)

References 22 publications

(37 reference statements)

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“…In the civil engineering realm, a complex structure is one that cannot be reduced to a simple scheme without losing important aspects of the structural behavior [ 49 ]. Complexity is not a well-documented approach for increasing structural robustness and the research works on this topic are mainly limited to the handful of papers [ 49 , 52 , 53 ], whereas a limited number of studies have focused on the quantification of the structural complexity [ 49 , 52 , 53 ]. To date, no uniform framework for distinguishing between complex and non-complex structure exists.…”

Section: Design For Robustnessmentioning

confidence: 99%

Design for Robustness: Bio-Inspired Perspectives in Structural Engineering

2023

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Bio-inspired solutions are widely adopted in different engineering disciplines. However, in structural engineering, these solutions are mainly limited to bio-inspired forms, shapes, and materials. Nature is almost completely neglected as a source of structural design philosophy. This study lists and discusses several bio-inspired solutions classified into two main classes, i.e., compartmentalization and complexity, for structural robustness design. Different examples are provided and mechanisms are categorized and discussed in detail. Some provided ideas are already used in the current structural engineering research and practice, usually without focus on their bio-analogy. These solutions are revisited and scrutinized from a bio-inspired point of view, and new aspects and possible improvements are suggested. Moreover, novel bio-inspired concepts including delayed compartmentalization, active compartmentalization, compartmentalization in intact parts, and structural complexity are also propounded for structural design under extreme loading conditions.

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Section: Design For Robustnessmentioning

confidence: 99%

Design for Robustness: Bio-Inspired Perspectives in Structural Engineering

2023

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“…Non-classical models of microstructured/micromorphic continua [8–11] and models with fields of defects [12–17] have additional terms in the strain energy that are related to micro-deformation fields. Indeed, in [14] it was proved that the standard damage analysis used for masonry structures leads to a continuum macro-model.…”

Section: Introductionmentioning

confidence: 99%

“…Indeed, we agree if this 3D model is exactly the second-gradient micromorphic one employed by us as a more refined model. The authors in [17] gave a microscopic interpretation of rupture phenomena that, in turn, affect parameter N in our framework. In [17] it is quantitatively argued that, at the micro-scale, systems can be considered as composed by various entities acting together and at the same time under an external stimulus.…”

Section: Introductionmentioning

confidence: 99%

On the dependence of standard and gradient elastic material constants on a field of defects

Solyaev¹,

Lurie

Barchiesi

et al. 2019

Mathematics and Mechanics of Solids

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In this work, we consider a strain gradient elasticity theory with an extended number of field variables: the displacement vector and an additional scalar field defining the internal micro-deformation. The total internal energy of the model depends on the strain, the micro-deformation function, their gradients, and the coupling. The considered model can be treated as gradient/micromorphic. Moreover, the micro-deformation field can be treated as a field of scalar defects distributed along the medium. Based on analytic (one-dimensional) solutions of uniform/non-uniform deformation of the rod, we introduce (i) an apparent stiffness and (ii) an apparent length scale parameter. Subsequently, we provide a variant of continuum-on-continuum homogenization by equating tip displacements for the gradient/micromorphic medium and an equivalent strain gradient one. Elongation of the gradient/micromorphic rod is therefore equated with the corresponding elongation of the equivalent strain gradient rod, whose behavior is characterized by the apparent material constants. Subsequently, the non-dimensional coupling number is identified with a damage parameter. It is shown that, on the one hand, the apparent stiffness of the rod is reduced when such parameter increases. On the other hand, the apparent length scale parameter (i.e. the apparent second gradient elastic coefficient) increases when the damage parameter increases. Therefore, it is shown that the presence of defects in a second gradient linear elastic material may increase its apparent strain gradient behavior.

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“…The robustness of concrete buildings subjected to element removal has been usually assessed through numerical, experimental and analytical strategies (see, for example, [16,17,18]). In addition, theoretical [19,20,21,22] and probabilistic approaches [23,24,25] as well as scenario analyses have been already formulated and proposed [26].…”

Section: Introductionmentioning

confidence: 99%