Stress analyses of viscoelastic three-dimensional beam-like structures with low- and high-order one-dimensional finite elements

Filippi, Matteo; Carrera, Erasmo

doi:10.1007/s11012-020-01191-5

Cited by 8 publications

(5 citation statements)

References 16 publications

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“…Denklem (10) (14) Denklem ( 14) şeklinde iç enerji bağıntısı elde edilir. Bu integralin hesaplanabilmesi için cisme ait gerilme-şekil değiştirme ilişkisinin bilinmesi gerekir.…”

Section: Metodolojiunclassified

Hiperstatik eksenel yüklü viskoelastik çubukların analizi için yeni enerji fonksiyoneli

Tekin

Kadıoğlu

2022

NÖHÜ Müh. Bilim. Derg.

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Elastik cisimlerde gerilme sadece şekil değiştirmenin bir fonksiyonudur, viskoelastik cisimlerde ise gerilme hem şekil değiştirmeye hem de şekil değiştirme hızına bağlıdır. Maddesel sabitleri farklı olan yayların ve sönüm kutularının çeşitli kombinasyonları yapılarak, yüksek polimerler, naylon lifler, beton vb. malzemelerin mekanik davranışlarını temsil etme olanağı vardır. Maxwell modeli kullanılarak mekanik davranışı temsil edilen statikçe belirsiz eksenel yüklü çubuk probleminin ele alındığı bu çalışmada, toplam potansiyel enerji (TPE) teoremi kullanılarak en karmaşık yapı sistemlerine bile kolaylıkla uygulanabilecek bir çözüm yolu önerilmiştir. Düğüm noktalarının yer değiştirmeleri cinsinden bulunan TPE ifadesi Laplace uzayında elde edilmiştir. TPE ifadesini minumum yapan çözümler gerçek yer değiştirmeler olup, Laplace uzayında elde edilen çözümlerden zaman uzayına geçmek için Ters Laplace dönüşümü yöntemi uygulanmıştır. Yöntem örnek problem üzerinde test edilmiş ve sonuçlar sunulmuştur. Bu yöntem, viskoelastik malzeme modelinin, sistemi oluşturan eleman sayısının ve yükleme tipinin değişmesinden bağımsız olarak birkaç basit işlem adımının takibi ile doğrudan çözüme ulaşmada büyük kolaylık sağlar.

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“…Denklem (10) (14) Denklem ( 14) şeklinde iç enerji bağıntısı elde edilir. Bu integralin hesaplanabilmesi için cisme ait gerilme-şekil değiştirme ilişkisinin bilinmesi gerekir.…”

Section: Metodolojiunclassified

Hiperstatik eksenel yüklü viskoelastik çubukların analizi için yeni enerji fonksiyoneli

Tekin

Kadıoğlu

2022

NÖHÜ Müh. Bilim. Derg.

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“…Alam et al (2017) carried out the dispersion and attenuation of torsional waves in a viscoelastic layer bounded by a layer and half-space of sandy media. In addition, few notable crucial studies based on the propagation of surface waves in viscoelastic-layered structures are investigated by Cooper (1967), Chatterjee et al (2017), Carcione (1990), Romeo (2003), Filippi and Carrera (2020), Peric et al (2003) and Borcherdt (2009). The use of fiber in the concrete as a reinforcing medium is the earliest technic.…”

Section: Introductionmentioning

confidence: 99%

“…In addition, few notable crucial studies based on the propagation of surface waves in viscoelastic-layered structures are investigated by Cooper (1967), Chatterjee et al. (2017), Carcione (1990), Romeo (2003), Filippi and Carrera (2020), Peric et al. (2003) and Borcherdt (2009).…”

Section: Introductionmentioning

confidence: 99%

Study of the SH-wave propagation in an MEFR layer bounded by heterogeneous viscoelastic layer and elastic half-space

Rajak

Kundu

Kumhar

et al. 2022

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PurposeThe purpose of this study is stated regarding the impact of the horizontally polarized shear wave vibration on a composite medium in the terms of phase and damped velocity.Design/methodology/approachThe assumed composite is composed of magneto-elastic fiber-reinforced (MEFR) layer constrained between heterogeneous viscoelastic layer and heterogeneous elastic half-space. The considered heterogeneity is associated with the directional rigidity and mass density in the uppermost layer and half-space of quadratic and trigonometric types, respectively. The coupled field equations related to the respective medium are solved analytically by employing the method of separation of variables.FindingsThe dispersion relation of the stated problem is secured by using the continuity assumptions, imposed at the stress-free surface and the interfaces of the expressed medium. The adopted numerical examples are used to compute the dispersion relation and plot the graphs between phase/damped velocity and wave number. Parametric studies on the phase and damped velocity yield five main conclusions: (1) Phase velocity decreases with increasing value of wave number and damped velocity increases up to a certain number and then starts falling simultaneously with increasing magnitude of wave number while keeping the rest parametric values fixed. (2) The presence of heterogeneity in the upper layer enhances the phase velocity and diminishes the damped velocity, but the presence of heterogeneity in the half-space enhances both the phase and damped velocity. (3) The appearance of reinforced parameters enhances the phase velocity for the considered crystalline graphite material and diminishes the phase velocity for the rest materials (carbon fiber-epoxy resin and steel) of the MEFR layer. Similarly, damped velocity decreases for the assumed crystalline graphite material of the MEFR layer and increases for the rest materials of the MEFR layer. (4) The induced dissipation factor due to viscoelastic property shows reversal decreasing and increasing effect on phase and damped velocity of SH-wave. (5) Ascending values of the angle at which the wave crosses the magnetic field increase the phase velocity and decrease the damped velocity for all the considered MEFR examples.Originality/valueTill date, the mathematical modeling as well as vibrational analysis of wave propagation through the composite structure consisting of MEFR layer constrained between viscoelastic media and elastic half-space under the effect of different varying properties with depth remains a new challenging issue for the researchers around the globe. The current analysis is an approach to move ahead in the era of wave propagation in different realistic models based on their parametric studies. Also, these studies are very helpful to find their applications in the field of mechanical, construction, aerospace, automobile, biomedical, marine, manufacturing industries and many branches of science and technology where magnetic fields induced in elastic deformation occur.

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“…Thus, it provides accuracy and calculation efficiency in obtaining linear and nonlinear structural analysis. In the literature, CUF is used to solve many structural problems with different linear and nonlinear material properties [30][31][32][33][34][35][36][37][38][39][40][41][42].…”

Section: Introductionmentioning

confidence: 99%

Evaluation of Stress Distribution of Isotropic, Composite, and FG Beams with Different Geometries in Nonlinear Regime via Carrera-Unified Formulation and Lagrange Polynomial Expansions

2021

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In this study, the geometrically nonlinear behaviour caused by large displacements and rotations in the cross sections of thin-walled composite beams subjected to axial loading is investigated. Newton–Raphson scheme and an arc length method are used in the solution of nonlinear equations by finite element method to determine the mechanical effect. The Carrera-Unified formulation (CUF) is used to solve nonlinear, low or high order kinematic refined structure theories for finite beam elements. In the study, displacement area and stress distributions of composite structures with different angles and functionally graded (FG) structures are presented for Lagrange polynomial expansions. The results show the accuracy and computational efficiency of the method used and give confidence for new research.

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Stress analyses of viscoelastic three-dimensional beam-like structures with low- and high-order one-dimensional finite elements

Cited by 8 publications

References 16 publications

Hiperstatik eksenel yüklü viskoelastik çubukların analizi için yeni enerji fonksiyoneli

Hiperstatik eksenel yüklü viskoelastik çubukların analizi için yeni enerji fonksiyoneli

Study of the SH-wave propagation in an MEFR layer bounded by heterogeneous viscoelastic layer and elastic half-space

Evaluation of Stress Distribution of Isotropic, Composite, and FG Beams with Different Geometries in Nonlinear Regime via Carrera-Unified Formulation and Lagrange Polynomial Expansions

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