Theoretical and Applied Mechanics最新文献_第2页

A note on the MHD flow in a porous channel 关于多孔通道中MHD流动的说明

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Theoretical and Applied Mechanics Pub Date : 2022-01-01 DOI: 10.2298/tam220103004m

E. Marušić‐Paloka, Igor Pažanin

引用次数: 1

Auxetic metamaterials subjected to dynamic loadings 受动态载荷作用的形变超材料

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Theoretical and Applied Mechanics Pub Date : 2022-01-01 DOI: 10.2298/tam211103002t

Georgios K. Tairidis, I. Ntintakis, G. Drosopoulos, Panagiotis Koutsianitis, G. Stavroulakis

引用次数: 0

An efficient algorithm for biomechanical problems based on a fully implicit nested Newton solver 基于全隐式嵌套牛顿求解器的生物力学问题求解算法

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Theoretical and Applied Mechanics Pub Date : 2022-01-01 DOI: 10.2298/tam221115012k

Markus M. Knodel, Stefano Di, A. Nägel, A. Grillo

{"title":"An efficient algorithm for biomechanical problems based on a fully implicit nested Newton solver","authors":"Markus M. Knodel, Stefano Di, A. Nägel, A. Grillo","doi":"10.2298/tam221115012k","DOIUrl":"https://doi.org/10.2298/tam221115012k","url":null,"abstract":"Numerical simulations of the dynamics of soft biological tissues are highly non-trivial because tissues generally exhibit complex biological response to external and internal actions, including large deformations and remodeling. Combining the advantages of globally implicit approach (GIA) solvers with the general applicability of the semi-implicit General Plasticity Algorithm (GPA), introduced by some of us some years ago, we present a new, efficient plasticity algorithm, which we call Bio Mechanics Basis Plasticity Algorithm (BMBPA). This is fully implicit, based on a nested Newton solver, and naturally suited for massively parallel computations. The Bilby-Kr?ner-Lee (BKL) multiplicative decomposition of the deformation gradient tensor is employed to introduce the unknowns of our model. We distinguish between global and local unknowns, associated with local and global equations, which are connected by means of a resolution function. The BMBPA asks for very few conditions to be applied and thus can be easily employed to solve several types of biological and biomechanical problems. We demonstrate the efficacy of BMBPA by performing two numerical experiments of a monophasic model of fiber-reinforced tissues. In one case, we consider the shear-compression test of a cubic specimen of tissue, while, in the other case, we focus on the unconfined compression test of a cylinder. The BMBPA is capable of solving the deformation and the remodeling of anisotropic biological tissues by employing a computation time of hours, while the GPA, applied to the same problems as the BMBPA, needs a substantially longer amount of time. All computations were performed in parallel and, within all tests, the performance of the BMBPA displayed substantially higher than the one of the GPA. The results of our simulations permit to study the overall mechanical behavior of the considered tissue and enable further investigations in the field of tissue biomechanics.","PeriodicalId":44059,"journal":{"name":"Theoretical and Applied Mechanics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83026085","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On inelasticity of damaged quasi-rate-independent orthotropic materials 损伤准速率无关正交各向异性材料的非弹性

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Theoretical and Applied Mechanics Pub Date : 2022-01-01 DOI: 10.2298/tam211007001m

M. Mićunović, L. Kudrjavceva

引用次数: 0

Symmetries and stability of motions in the Newtonian and the Hookean potentials 牛顿势和胡克势中运动的对称性和稳定性

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Theoretical and Applied Mechanics Pub Date : 2022-01-01 DOI: 10.2298/tam220213005c

C. Carimalo

引用次数: 0

Gradient-dependent transport coefficients in the Navier-Stokes-Fourier system Navier-Stokes-Fourier系统中梯度相关输运系数

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Theoretical and Applied Mechanics Pub Date : 2022-01-01 DOI: 10.2298/tam221005009s

Mátyás Szücs, R. Kovács

引用次数: 1

Inverse dynamics in rigid body mechanics 刚体力学中的逆动力学

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Theoretical and Applied Mechanics Pub Date : 2022-01-01 DOI: 10.2298/tam221109011f

S. Federico, Mawafag F. Alhasadi

引用次数: 1

Modelling and stability analysis of the nonlinear system 非线性系统的建模与稳定性分析

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Theoretical and Applied Mechanics Pub Date : 2022-01-01 DOI: 10.2298/tam211101003v

Mitra Vesović, R. Radulović

{"title":"Modelling and stability analysis of the nonlinear system","authors":"Mitra Vesović, R. Radulović","doi":"10.2298/tam211101003v","DOIUrl":"https://doi.org/10.2298/tam211101003v","url":null,"abstract":"The production industries have repeatedly combated the problem of system modelling. Successful control of a system depends mainly on the exactness of the mathematical model that predicts its dynamic. Different types of studies are very common in the complicated challenges involving the estimations and approximations in describing nonlinear machines are based on a variety of studies. This article examines the behaviour and stability of holonomic mechanical system in the arbitrary parameter sets and functional configuration of forces. Differential equations of the behaviour are obtained for the proposed system on the ground of general mechanical theorems, kinetic and potential energies of the system. Lagrange?s equations of the first and second kind are introduced, as well as the representation of the system in the generalized coordinates and in Hamilton?s equations. In addition to the numerical calculations applied the system, the theoretical structures and clarifications on which all of the methods rely on are also presented. Furthermore, static equilibriums are found via two different approaches: graphical and numerical. Above all, stability of motion of undisturbed system and, later, the system that works under the action of an external disturbance was inspected. Finally, the stability of motion is reviewed through Lagrange-Dirichlet theorem, and Routh and Hurwitz criteria. Linearized equations are obtained from the nonlinear ones, and previous conclusions for the stability were proved.","PeriodicalId":44059,"journal":{"name":"Theoretical and Applied Mechanics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74979515","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Parametrically excited unidirectional wave propagation in thin beam phononics 细束声子中参数激发的单向波传播

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Theoretical and Applied Mechanics Pub Date : 2022-01-01 DOI: 10.2298/tam221030010r

Nevena Rosic, Danilo Karličić, Milan Cajić, M. Lazarevic

引用次数: 1

Stability of solution for Rao-Nakra sandwich beam model with Kelvin-Voigt damping and time delay 具有Kelvin-Voigt阻尼和时滞的Rao-Nakra夹层梁模型解的稳定性

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Theoretical and Applied Mechanics Pub Date : 2022-01-01 DOI: 10.2298/tam210502006c

V. Cabanillas, C. Raposo, L. Potenciano-Machado

引用次数: 1