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Continuum Mechanics and Thermodynamics OnlineFirst articles

08.04.2024 | Original Article

Analytical modeling of the mixed-mode behavior in functionally graded coating/substrate systems

This work aims at studying the interfacial behavior of functionally graded coatings (FGCs) on different substrates, here modeled as asymmetric double cantilever beams, in line with the experimental tests. An enhanced beam theory (EBT) is proposed …

verfasst von:
Rossana Dimitri, Marco Trullo, Martina Rinaldi, Caterina Fai, Francesco Tornabene

Open Access 02.04.2024 | S.I. : Non-Classical Cont Mech

Elasto-plasticity theory for large plastic deformation and its use for the material stiffness determination

In this paper, we present a finite elasto-plasticity theory for large plastic deformations. For the elastic part of the model, we use the St. Venant–Kirchhoff elasticity. The plastic part is described by the isomorphy concept, the yield condition …

verfasst von:
Martin Weber, Holm Altenbach

Open Access 30.03.2024 | Original Article

A thermo-mechanically coupled constitutive model for semi-crystalline polymers at finite strains: Mechanical and thermal characterization of polyamide 6 blends

In the field of material modeling, thermoplastic polymers are often studied because of their complex material behavior and their prevalence in industry applications due to their low cost and wide range of applications. Nowadays, where reusability …

verfasst von:
Marie-Christine Reuvers, Sameer Kulkarni, Birte Boes, Sebastian Felder, André Wutzler, Michael Johlitz, Alexander Lion, Tim Brepols, Stefanie Reese

Open Access 29.03.2024 | Research Article

Predicting mechanical failure of polycrystalline dual-phase nickel-based alloys by numerical homogenization using a phase field damage model

Brazing of nickel-based alloys plays a major role in the assembly of turbine components, e.g., abradable sealing systems. In a brazed joint of nickel-based alloys a composition of brittle and ductile phases can be formed if the brazing conditions …

verfasst von:
Jakob Huber, Jonas Vogler, Jan Torgersen, Ewald Werner

29.03.2024 | Original Article

Linearization and localization of nonconvex functionals motivated by nonlinear peridynamic models

We consider a class of nonconvex energy functionals that lies in the framework of the peridynamics model of continuum mechanics. The energy densities are functions of a nonlocal strain that describes deformation based on pairwise interaction of …

verfasst von:
Tadele Mengesha, James M. Scott

Open Access 26.03.2024 | Original Article

Two-field mixed hp-finite elements for time-dependent problems in the refined theories of thermodynamics

Modern manufacturing technologies allow heterogeneous materials with complex inner structures (e.g., foams) to be easily produced. However, their utilization is not straightforward, as the classical constitutive laws are not necessarily valid.

verfasst von:
Balázs Tóth, Zsombor Molnár, Róbert Kovács

25.03.2024 | Original Article

Modeling of sodiation-induced deformation of Sn anode based on the stress-driven nonlocal integral elasticity

The anode material Sn used in sodium-ion batteries displays high theoretical capacity, complex phase transformation, and significant volume change during the charging/discharging process. In particular, the effects of small scale on the mechanical …

verfasst von:
Zuoquan Zhu, Mengmeng Lv, Zongchao Liu, Jing Wan

Open Access 22.03.2024 | S.I. : Welding processes

Heat conduction in multi-component step-wise FGMs

This paper provides a thorough investigation of a heat conduction problem that pertains to tolerance modelling in layered materials made up of multiple components. These media are functionally graded materials and thus have varying properties that …

verfasst von:
Olga Szlachetka, Ivan Giorgio

17.03.2024 | S.I. : Non-Classical Cont Mech

Peridynamic simulation of creep deformation and damage

This study presents a nonordinary state-based (NOSB) peridynamic (PD) modeling of creep deformation and damage. The force density vectors in PD equilibrium equations are derived by considering the Liu and Murakami creep model with a damage …

verfasst von:
Deepak Behera, Pranesh Roy, Erdogan Madenci

16.03.2024 | Original Article

Exact solution of one problem of imposition of large deformations in a compound slab with pre-deformed layers of incompressible nonlinear elastic micropolar material

An exact solution is obtained for a new class of problems on the imposition of large deformations in nonlinear elastic micropolar bodies. The problem of determining the stress state in a compound slab having the shape of a rectangular …

verfasst von:
V. A. Levin, K. M. Zingerman, A. E. Belkin

13.03.2024 | Original Article

Variable properties reconstruction for functionally graded thermoelectroelastic cylinder

In this research, we present an approach to identify variable characteristics of an inhomogeneous thermoelectroelastic radially polarized elongated hollow cylinder. The cylinder’s thermomechanical characteristics depend on the radial coordinate.

verfasst von:
Alexander Vatulyan, Sergey Nesterov, Rostislav Nedin

Open Access 06.03.2024 | Original Article

Asymptotic behaviour for convection with anomalous diffusion

We investigate the fully nonlinear model for convection in a Darcy porous material where the diffusion is of anomalous type as recently proposed by Barletta. The fully nonlinear model is analysed but we allow for variable gravity or penetrative …

verfasst von:
Brian Straughan, Antonio Barletta

04.03.2024 | Original Article

Non-stationary elastic wave scattering and energy transport in a one-dimensional harmonic chain with an isotopic defect

The fundamental solution describing non-stationary elastic wave scattering on an isotopic defect in a one-dimensional harmonic chain is obtained in an asymptotic form. The chain is subjected to unit impulse point loading applied to a particle far …

verfasst von:
Serge N. Gavrilov, Ekaterina V. Shishkina

02.03.2024 | Original Article

A modified mathematical model for thermo-viscous thermal conduction incorporating memory-based derivatives and the Moore–Gibson–Thomson equation

Analyzing the viscoelastic characteristics of materials, especially polymers, is essential for understanding their mechanical properties and their capacity to function in different conditions. This paper presents a novel viscoelastic heat transfer …

verfasst von:
Ahmed E. Abouelregal, Marin Marin, Sameh S. Askar, Abdelaziz Foul

23.02.2024 | Original Article

Strain-gradient finite elasticity solutions to rigid bar pull-out test

The pull-out test is one of the common experiments to determine the bond strength. When the problem is modeled in the context of linear elasticity for a cylindrical reinforced concrete block, the resulting simplified 1-D model yields so-called …

verfasst von:
Nasrin Rezaei, M. Erden Yildizdag, Emilio Turco, Anil Misra, Luca Placidi

22.02.2024 | Original Article

Experimental studies and the model of anisotropic plasticity for additively manufactured stainless steel with stress state dependent properties

In this study the mechanical anisotropy of laser powder bed fusion (LPBF) 316L stainless steel under tensile, compressive, and shear loading in different orientations with respect to the build direction is investigated. Experimental analysis …

verfasst von:
Alexey Fedorenko, Boris Fedulov, Stanislav Evlashin, Oleg Staroverov, Alexander Pankov, Svetlana Shalnova, Evgeny Lomakin

Open Access 21.02.2024 | Original Article

Comparison of the symmetric hyperbolic thermodynamically compatible framework with Hamiltonian mechanics of binary mixtures

How to properly describe continuum thermodynamics of binary mixtures where each constituent has its own momentum? The Symmetric Hyperbolic Thermodynamically Consistent (SHTC) framework and Hamiltonian mechanics in the form of the General Equation …

verfasst von:
Martin Sýkora, Michal Pavelka, Ilya Peshkov, Piotr Minakowski, Václav Klika, Evgeniy Romenski

21.02.2024 | Research Article

Wave propagation with two delay times in an isotropic porous micropolar thermoelastic material

In this paper, we are following the plane time-harmonic waves propagation in an entire linear thermoelastic space, knowing the wavelength. Concerning the thermodynamic response, we fit the dual phase-lag model, while the effect of porosity on …

verfasst von:
D. M. Neagu, I. M. Fudulu, M. Marin, A. Öchsner

Open Access 17.02.2024 | Original Article

Static bending analysis of a transversely cracked strip tapered footing on a two-parameter soil using a new beam finite element

In this paper, a new beam Euler–Bernoulli finite element for the transverse static bending analysis of cracked slender strip tapered footings on an elastic two-parameter soil is presented. Standard Hermitian cubic interpolation functions are …

verfasst von:
Denis Imamović, Matjaž Skrinar

14.02.2024 | Original Article

On the -fractional continuum mechanics fields

After defining the fractional $$\varLambda $$ Λ -derivative, having all the prerequisites for corresponding to a differential, the fractional $$\varLambda $$ Λ -strain has already been established. Furthermore, only globally variational principles …

verfasst von:
K. A. Lazopoulos, A. K. Lazopoulos