A model of heterogeneous thermoviscoplastic material preserving uniform normal strains under combined compression, tension (or compression) and shearing. Instability and homogenization results
Article dans une revue avec comité de lecture
Date
2019Journal
Composites Part B: EngineeringAbstract
In this paper, we present the special solution of the two-dimensional problem of a continuously graded composite made of thermovisco- rigid plastic materials under combined biaxial quasistatic compression and tension (or compression) and shear, that preserves prescribed uniform normal strains. The related reference initial-boundary value problem is fully defined and the corresponding solution is analyzed and computed numerically. In the context of a linearized instability analysis, critical conditions, as the critical shear banding angle, in terms of the loading level and material heterogeneities, are presented. In the context of non-linear instability, these results are examined and explained. Additionally, in the same context of non-linear analysis, the destabilizing mechanism, the onset of instability and the critical time for prescribed lower and upper bounds of equivalent strain-rate and upper bound of equivalent strain are defined and related to the lateral normal stress. The limitations of linearized analysis results are also revealed. Moreover, a semi-analytical homogenization scheme for a periodically-graded plate is presented. The related results are used for the derivation of a homogenized problem of a multilayered composite with continuously graded interlayers.
Files in this item
- Name:
- LEM3_COMPB_2018B_CHATZIGEORGIOU.pdf
- Size:
- 1.293Mb
- Format:
- Embargoed until:
- 2019-12-01
Related items
Showing items related by title, author, creator and subject.
-
Article dans une revue avec comité de lectureTSALIS, Dimitrios; CHATZIGEORGIOU, George; CHARALAMBAKIS, Nicolas (Elsevier, 2016)In the present article, the homogenization of a composite star-shaped tube with numerous thin, periodic, elastic wavy layers, is presented. The composite exhibits a multiscale periodicity allowing for a multistep asymptotic ...
-
Article dans une revue avec comité de lectureTSALIS, Dimitrios; CHATZIGEORGIOU, George; TSAKMAKIS, Charalampos; CHARALAMBAKIS, Nicolas (Elsevier, 2015)In this paper we present an internal variable-based homogenization of a composite made of wavy elastic-perfectly plastic layers. In the context of a strain-driven process, the macrostress and the effective yield surface ...
-
Conférence invitéeThe modern technological challenges on the engineering industry and the extensive advances in the materials science have caused a tremendous increase in the development of composites. Plenty of engineering and biomechanics ...
-
Conférence invitéeThe current work deals with periodic composite media undergoing fully coupled thermomechanical loading. In these composites the material constituents are considered to obey the generalized standard materials laws. The aim ...
-
Conférence invitéeTSALIS, Dimitrios; CHATZIGEORGIOU, George; CHARALAMBAKIS, Nicolas (National Technical University of Athens, 2016)In this paper we present a multi-step homogenization scheme of a tube made of numerous wavy cylindrical layers exhibiting periodicity with respect to both the radial and the angular direction. The proposed homogenization ...