Repositório Institucional da Produção Científica da Marinha do Brasil (RI-MB)

Please use this identifier to cite or link to this item: https://www.repositorio.mar.mil.br/handle/ripcmb/845587
Title: Dynamic analysis of failure paths of truss structures: benchmark examples including material degradation
Authors: Felipe, Túlio Raunyr Cândido
Beck, André Teófilo
Keywords: Progressive collapse
Failure paths
Truss structures
Continuum damage mechanics
Dynamic loading
DGPM knowledge areas: Engenharia de materiais e metalúrgica
Issue Date: 2021
Publisher: Elsevier
Description: We propose novel benchmark examples of dynamic failure paths of truss structures. Novelty arises from use of a logarithmic strain measure, within a total Lagrangian formulation, combined with a continuum material damage model. Previous benchmarks have considered the usual engineering strain measure, which is not always useful, as it can lead to material degeneration under finite levels of stress. Ductile material behavior has been considered in the literature, addressing plasticity and some material softening, but neglecting material degradation. Herein, damage accumulation is associated to the hydrostatic component of plastic strains, leading to a stable and explicit representation of material degradation. The original static formulation, presented elsewhere by the authors, is extended herein to the dynamic analysis of failure paths of truss structures. Several numerical examples from the literature are studied, and the differences in dynamic behavior are pointed out. In our implementation, as individual bars are damaged, elastic unloading and load redistribution are observed. When the critical damage hypothesized by Lemaitre is reached by individual bars, these are fully unloaded, with no material degeneration or numerical instability. Numerical results highlight the significant effects of material degradation in the dynamic behavior of truss structures under exceptional loads. We propose the set of examples addressed herein as the new benchmarks to which future developments in geometrical and material non-linear truss modelling will be compared.
Access: Open access
URI: https://www.repositorio.mar.mil.br/handle/ripcmb/845587
Type: Journal article
Appears in Collections:Engenharia Naval: Coleção de Artigos

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