Evidence map›Paper›PMID 38235485›Full record

ArticleMechanics of advanced materials and structures2024

Unified three-dimensional finite elements for large strain analysis of compressible and nearly incompressible solids.

A Pagani, P Chiaia, M Filippi, M Cinefra

Abstract read
In one paragraph

Article in Mechanics of advanced materials and structures, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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0citing papers in PubMed
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1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

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3 · Its place in the literature

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0 citing papers in PubMed.

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4 · The record

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5 · Who and what money

Authors and funding

4 authors.

A PaganiMul2 Lab, Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Torino, Italy.ORCID https://orcid.org/0000-0001-9074-2558
P ChiaiaMul2 Lab, Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Torino, Italy.ORCID https://orcid.org/0000-0002-0832-9017
M FilippiMul2 Lab, Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Torino, Italy.ORCID https://orcid.org/0000-0001-9520-8370
M CinefraDepartment of Mechanics, Mathematics and Management, Politecnico di Bari, Bari, Italy.ORCID https://orcid.org/0000-0003-2565-1806

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

This work proposes a displacement-based finite element model for large strain analysis of isotropic compressible and nearly-incompressible hyperelastic materials. Constitutive law is written in terms of invariants of the right Cauchy-Green tensor; coupled and decoupled formulations of strain energy functions are presented, whereas a penalty function is used to impose an incompressibility constraint. Based on a total Lagrangian formulation, the nonlinear governing equations are thus obtained by employing the principle of virtual displacements. Analytic expression of both internal forces vector and tangent matrix of linear and high-order hexahedral finite elements are derived by adopting a three-dimensional formalism based on the Carrera Unified Formulation. Popular benchmark problems in hyperelasticity are analyzed to establish the capabilities of the present implementation of fully-nonlinear solid elements in the case of compressible and nearly-incompressible beams, cylindrical shells, and curved structures.

Indexed as

geometrical non linearitiesHyperelasticitymaterial non linearitiesnearly incompressible hyperelastic modelspath-following methodsunified formulation

Identifiers

PMID38235485
PMCPMC10791068

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.