Wenan Wu and Hong Zheng
This study aims to introduce the hybrid finite element (FE) – meshfree method and multiscale variational principle into the traditional mixed FE formulation, leading to a stable…
Abstract
Purpose
This study aims to introduce the hybrid finite element (FE) – meshfree method and multiscale variational principle into the traditional mixed FE formulation, leading to a stable mixed formulation for incompressible linear elasticity which circumvents the need to satisfy inf-sup condition.
Design/methodology/approach
Using the hybrid FE–meshfree method, the displacement and pressure are interpolated conveniently with the same order so that a continuous pressure field can be obtained with low-order elements. The multiscale variational principle is then introduced into the Galerkin form to obtain stable and convergent results.
Findings
The present method is capable of overcoming volume locking and does not exhibit unphysical oscillations near the incompressible limit. Moreover, there are no extra unknowns introduced in the present method because the fine-scale unknowns are eliminated using the static condensation technique, and there is no need to evaluate any user-defined stability parameter as the classical stabilization methods do. The shape functions constructed in the present model possess continuous derivatives at nodes, which gives a continuous and more precise stress field with no need of an additional smooth process. The shape functions in the present model also possess the Kronecker delta property, so that it is convenient to impose essential boundary conditions.
Originality/value
The proposed model can be implemented easily. Its convergence rates and accuracy in displacement, energy and pressure are even comparable to those of second-order mixed elements.
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Stefan Doll, Karl Schweizerhof, Ralf Hauptmann and Christof Freischläger
As known from nearly incompressible elasticity, selective reduced integration (SRI) is a simple and effective method of overcoming the volumetric locking problem in 2D and 3D…
Abstract
As known from nearly incompressible elasticity, selective reduced integration (SRI) is a simple and effective method of overcoming the volumetric locking problem in 2D and 3D solid elements. This method of finite elastoviscoplasticity is discussed as are its well‐known limitations. In this context, an isochoric‐volumetric decoupled material behavior is assumed and thus the additive deviatoric‐volumetric decoupling of the consistent algorithmic moduli tensor is essential. By means of several numerical examples, the performance of elements using selective reduced integration is demonstrated and compared to the performance of other elements such as the enhanced assumed strain elements. It is shown that a minor modification, with little numerical effort, leads to rather robust element behaviour. The application of this process to so‐called solid‐shell elements for thin‐walled structures is also discussed.
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Izian Abd. Karim, Chun Hean Lee, Antonio J. Gil and Javier Bonet
– The purpose of this paper is to present a new stabilised low-order finite element methodology for large strain fast dynamics.
Abstract
Purpose
The purpose of this paper is to present a new stabilised low-order finite element methodology for large strain fast dynamics.
Design/methodology/approach
The numerical technique describing the motion is formulated upon the mixed set of first-order hyperbolic conservation laws already presented by Lee et al. (2013) where the main variables are the linear momentum, the deformation gradient tensor and the total energy. The mixed formulation is discretised using the standard explicit two-step Taylor-Galerkin (2TG) approach, which has been successfully employed in computational fluid dynamics (CFD). Unfortunately, the results display non-physical spurious (or hourglassing) modes, leading to the breakdown of the numerical scheme. For this reason, the 2TG methodology is further improved by means of two ingredients, namely a curl-free projection of the deformation gradient tensor and the inclusion of an additional stiffness stabilisation term.
Findings
A series of numerical examples are carried out drawing key comparisons between the proposed formulation and some other recently published numerical techniques.
Originality/value
Both velocities (or displacements) and stresses display the same rate of convergence, which proves ideal in the case of industrial applications where low-order discretisations tend to be preferred. The enhancements introduced in this paper enable the use of linear triangular (or bilinear quadrilateral) elements in two dimensional nearly incompressible dynamics applications without locking difficulties. In addition, an artificial viscosity term has been added into the formulation to eliminate the appearance of spurious oscillations in the vicinity of sharp spatial gradients induced by shocks.
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Russell Spiker, Lawrence Stacey and Corinne Reczek
Purpose: We review theory and research to suggest how research on sexual and gender minority (SGM) population health could more completely account for social class.Approach:…
Abstract
Purpose: We review theory and research to suggest how research on sexual and gender minority (SGM) population health could more completely account for social class.
Approach: First, we review theory on social class, gender, and sexuality, especially pertaining to health. Next, we review research on social class among SGM populations. Then, we review 42 studies of SGM population health that accounted for one or more components of social class. Finally, we suggest future directions for investigating social class as a fundamental driver of SGM health.
Findings: Social class and SGM stigma are both theorized as “fundamental causes” of health, yet most studies of SGM health do not rigorously theorize social class. A few studies control socioeconomic characteristics as mediators of SGM health disparities, but that approach obscures class disparities within SGM populations. Only two of 42 studies we reviewed examined SGM population health at the intersections of social class, gender, and sexuality.
Research implications: Researchers interested in SGM population health would benefit from explicitly stating their chosen theory and operationalization of social class. Techniques such as splitting samples by social class and statistical interactions can help illuminate how social class and SGM status intertwine to influence health.
Originality: We synthesize theory and research on social class, sexuality, and gender pertaining to health. In doing so, we hope to help future research more thoroughly account for social class as a factor shaping the lives and health of SGM people.
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Changsheng Wang, Xiaoxiao Sun, Xiangkui Zhang and Ping Hu
A higher-order Reissner-Mindlin plate element method is presented based on the framework of assumed stress quasi-conforming method and Hellinger-Reissner variational principle. A…
Abstract
Purpose
A higher-order Reissner-Mindlin plate element method is presented based on the framework of assumed stress quasi-conforming method and Hellinger-Reissner variational principle. A novel six-node triangular plate element is proposed by utilizing this method for the static and free vibration analysis of Reissner-Mindlin plates.
Design/methodology/approach
First, the initial assumed stress field is derived by using the fundamental analytical solutions which satisfy all governing equations. Then the stress matrix is treated as the weighted function to weaken the strain-displacement equations after the strains are derived by using the constitutive equations. Finally, the arbitrary order Timoshenko beam function is adopted as the string-net functions along each side of the element for strain integration.
Findings
The proposed element can pass patch test and is free from shear locking and spurious zero energy modes. Numerical tests show that the element can give high-accurate solutions, good convergence and is a good competitor to other models.
Originality/value
This work gives new formulations to develop high-order Reissner-Mindlin plate element, and the new strategy exhibits advantages of both analytical and discrete methods.
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The 32nd Salon International de L'Aéronautique et de L'Espace will be staged at Le Bourget—Paris Airport from June 2–12, 1977.
Mingyang Liu, Huifen Zhu, Guangjun Gao, Chen Jiang and G.R Liu
The purpose of this paper is to investigate a novel stabilization scheme to handle convection and pressure oscillation in the process of solving incompressible laminar flows by…
Abstract
Purpose
The purpose of this paper is to investigate a novel stabilization scheme to handle convection and pressure oscillation in the process of solving incompressible laminar flows by finite element method (FEM).
Design/methodology/approach
The semi-implicit stabilization scheme, characteristic-based polynomial pressure projection (CBP3) consists of the Characteristic-Galerkin method and polynomial pressure projection. Theoretically, the proposed scheme works for any type of element using equal-order approximation for velocity and pressure. In this work, linear 3-node triangular and 4-node tetrahedral elements are the focus, which are the simplest but most difficult elements for pressure stabilizations.
Findings
The present paper proposes a new scheme, which can stabilize FEM solution for flows of both low and relatively high Reynolds numbers. And the influence of stabilization parameters of the CBP3 scheme has also been investigated.
Research limitations/implications
The research in this work is limited to the laminar incompressible flow.
Practical implications
The verification and validation of the CBP3 scheme are conducted by several 2 D and 3 D numerical examples. The scheme could be used to deal with more practical fluid problems.
Social implications
The application of scheme to study complex hemodynamics of patient-specific abdominal aortic aneurysm is also presented, which demonstrates its potential to solve bio-flows.
Originality/value
The paper simulated 2 D and 3 D numerical examples with superior results compared to existing results and experiments. The novel CBP3 scheme is verified to be very effective in handling convection and pressure oscillation.
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Albert A. Groenwold and Nielen Stander
A 4‐node flat shell quadrilateral finiteelement with 6 degrees of freedom per node, denoted QC5D‐SA, ispresented. The element is an assembly of a modification of thedrilling…
Abstract
A 4‐node flat shell quadrilateral finite element with 6 degrees of freedom per node, denoted QC5D‐SA, is presented. The element is an assembly of a modification of the drilling degree of freedom membrane presented by Ibrahimbegovic et al., and the assumed strain plate element presented by Bathe and Dvorkin. The part of the stiffness matrix associated with in—plane displacements and rotations is integrated over the element domain by a modified 5‐point reduced integration scheme, resulting in greater efficiency without the sacrifice of rank sufficiency. The scheme produces a soft higher order deformation mode which increases numerical accuracy. A large number of standard benchmark problems are analyzed. Some examples show that the effectiveness of a previously proposed “membrane locking correction” technique is significantly reduced when employing distorted elements. However, the element is shown to be generally accurate and in many cases superior to existing elements.
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William LaGore, Lois Mahoney and Linda Thorne
Increasingly, U.S. firms voluntarily issue standalone corporate social responsibility (CSR) reports to demonstrate to society a commitment to social and environmental activities…
Abstract
Increasingly, U.S. firms voluntarily issue standalone corporate social responsibility (CSR) reports to demonstrate to society a commitment to social and environmental activities (Bebbington, Larrinaga, & Moneva, 2008; Erusalimsky, Gray, & Spence, 2006). To ascertain the effect of standalone CSR reports on investors, we compared the association between CSR performance scores and subsequent stock returns for firms that issue standalone CSR reports versus those that do not. Consistent with a signaling perspective (Akerlof, 1970), we found that firms that voluntarily issue standalone CSR reports have a stronger association between total CSR and CSR strengths and subsequent stock returns than firms that do not. Our findings indicated that investors are relying on standalone CSR reports because they reward CSR performance for firms that issue standalone CSR reports CSR performance for those that do not issue standalone CSR reports.
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This paper aims to develop a model that supports public organisations in making informed strategic decisions as to which public services are most suitable to be improved through…
Abstract
Purpose
This paper aims to develop a model that supports public organisations in making informed strategic decisions as to which public services are most suitable to be improved through co-creation. Thus, it first identifies the features that make public services (un)suitable for co-creation and then applies this knowledge to develop a multi-criteria decision support model for the assessment of their co-creation readiness.
Design/methodology/approach
The decision support model is the result of design science research. While its structure is determined by a qualitative multi-criteria decision analysis, its substance builds on a content analysis of Web of Science papers and over a dozen empirical case studies.
Findings
The model is comprised of 13 criteria clustered into two groups: service readiness criteria from the perspective of service users and service readiness criteria from the perspective of a public organisation.
Research limitations/implications
The model attributes rely on a limited number of empirical cases and references from the literature review. The model was tested by only one public organisation on four of its services.
Originality/value
The paper shifts the research focus from organisational properties and capacity, as the key co-creation drivers and barriers, to features of public services as additional factors that affect the prospect of co-creation. Thus, it makes a pioneering step towards the conceptualisation of the idea of “service readiness for co-creation” and the development of a practical instrument that supports co-creation in the public sector.