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Efficient strong unified formulation for stress analysis of non-prismatic beam structures

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Show simple item record Ojo, Saheed O. Weaver, Paul M. 2021-07-05T09:24:49Z 2021-07-05T09:24:49Z 2021
dc.description peer-reviewed en_US
dc.description.abstract The Unified Formulation (UF) has gained attention as a powerful tool for efficient design of structural components. Due to the inherent flexibility of its kinematics representation, arbitrary shape functions can be selected in different dimensions to achieve a high‐fidelity characterisation of structural response under load. Despite this merit, the classical isoparametric description of UF limits the application to prismatic structures. The weak‐form anisoparametric approach adopted to overcome this limitation in a recent work by Patni et al. proves to be versatile yet computationally challenging owing to the expensive computation of its UF stiffness matrix by means of full volume integrals. We propose a strong‐form anisoparametric UF (SUF) based on the Serendipity Lagrange Expansion (SLE) cross‐sectional finite element and differential quadrature beam element. The main objective of the SUF is to achieve an efficient computation of the UF stiffness matrix by restricting Gauss operations to the variable cross‐sections of non‐prismatic structures in a discrete sense, thus eliminating the need for full volume integrals. When assessed against weak‐form based UF, ABAQUS FE and analytical solutions, the static analysis of non‐prismatic beam‐like structures under different loads by the SUF is shown to be accurate, numerically stable, and computationally more efficient than state‐of‐the‐art methods en_US
dc.language.iso eng en_US
dc.publisher Elsevier en_US
dc.relation.ispartofseries Composite Structures;272, 114190
dc.subject Unified Formulation en_US
dc.subject anisoparametric en_US
dc.title Efficient strong unified formulation for stress analysis of non-prismatic beam structures en_US
dc.type info:eu-repo/semantics/article en_US
dc.type.supercollection all_ul_research en_US
dc.type.supercollection ul_published_reviewed en_US
dc.identifier.doi 10.1016/j.compstruct.2021.114190
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US

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