عنوان

Mathematical models of higher orders :

شابک

3030047148

شابک

3030047156

شابک

9783030047146

شابک

9783030047153

شابک اشتباه

303004713X

شابک اشتباه

9783030047139

عنوان اصلي

Mathematical models of higher orders :

نام عام مواد

[Book]

ساير اطلاعات عنواني

shells in temperature fields /

نام نخستين پديدآور

Vadim A. Krysko, Jan Awrejcewicz, Maxim V. Zhigalov, Valeriy F. Kirichenko, Anton V. Krysko.

محل نشرو پخش و غیره

Cham, Switzerland :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

2019.

نام خاص و کميت اثر

1 online resource (xii, 470 pages) :

ساير جزييات

illustrations (some color)

عنوان فروست

Advances in Mechanics and Mathematics,

مشخصه جلد

volume 42

شاپا ي ISSN فروست

1571-8689 ;

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

Intro; Preface; Contents; 1 Introduction; References; 2 Mathematical Modeling of Nonlinear Dynamics of Continuous Mechanical Structures with an Account of Internal and External Temperature Fields; 2.1 Coupling of Temperature and Deformation: The First Approximation Models and Parabolic Heat Transfer Equation; 2.1.1 Fundamental Assumptions and Hypotheses; 2.1.2 Reduction of the 3D Problem to the 2D Problem; 2.1.3 Variational Formulation

متن يادداشت

2.1.4 Differential Equations Governing the Dynamics of Shallow Flexible Plates/Shells, Taking into Account the Coupling of Temperature and Deformation Field in the Mixed Form2.1.5 PDEs in Displacements in the Theory of Flexible Plates/Shells; 2.1.6 Existence of a Solution Within the Kirchhoff-Love Model in the Mixed Form and with Parabolic Heat Transfer Equations; 2.2 Mathematical Model of Continuous Mechanical Structures Based on the First-Order Approximation with a Hyperbolic Heat Transfer Equation; 2.2.1 Formulation of the Problem

متن يادداشت

2.2.2 Theorem of Existence of a Solution of the Problems (2.133)-(2.136)2.3 Numerical Investigation of Coupled Problems in the Theory of Shallow Shells with a Parabolic Heat Transfer Equation; 2.3.1 Criteria of Stability Loss; 2.3.2 Application of the Faedo-Galerkin Method; 2.3.3 Employing FDM of Second-Order Accuracy to Study Coupled Problems of Thermoelasticity of Shallow Shells in Mixed Form with a Parabolic Heat Transfer Equation; 2.4 Mathematical Models of Second-Order Approximation (Timoshenko Model) with a Parabolic Equation of Heat Transfer

متن يادداشت

2.5 Mathematical Models of a Three-Layer Structure Using First/Second Approximations for the External/Internal Layers and the Parabolic Heat Transfer EquationReferences; 3 Nonclassical Models and Stability of Multilayer Orthotropic Thermoplastic Shells within Timoshenko Modified Hypotheses; 3.1 ``Projection'' Condition of Motion for a Thermoelastic Rigid Body and Its Application in the Theory of Multilayer Orthotropic Shells; 3.2 Examples of Compatible, Asymptotically Compatible, and Incompatible Models (Theories) of Multilayer Orthotropic Thermoplastic Shallow Shells

متن يادداشت

3.2.1 Compatible, Continual, and Displacement Oriented Models3.2.2 Incompatible Models, Continual, in Displacements and Taking into Account the Contact Conditions; 3.2.3 Models Asymptotically Compatible, Continuous, Governed by Equations in Displacements and in Mixed Form; 3.2.4 Asymptotically Inconsistent, the Continuum Model in the ``Displacements'' or ``Mixed'' Form, Without Compression; 3.3 Qualitative Investigation of Asymptotically Compatible and Incompatible Models of Thermoelastic Shells

بدون عنوان

0

بدون عنوان

8

بدون عنوان

8

بدون عنوان

8

بدون عنوان

8

متن يادداشت

This book offers a valuable methodological approach to the state-of-the-art of the classical plate/shell mathematical models, exemplifying the vast range of mathematical models of nonlinear dynamics and statics of continuous mechanical structural members. The main objective highlights the need for further study of the classical problem of shell dynamics consisting of mathematical modeling, derivation of nonlinear PDEs, and of finding their solutions based on the development of new and effective numerical techniques. The book is designed for a broad readership of graduate students in mechanical and civil engineering, applied mathematics, and physics, as well as to researchers and professionals interested in a rigorous and comprehensive study of modeling non-linear phenomena governed by PDEs.

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9783030047146

شماره استاندارد بين المللي کتاب و موسيقي

9783030047139

موضوع مستند نشده

Shells (Engineering)-- Mathematical models.

موضوع مستند نشده

Shells (Engineering)-- Mathematical models.

موضوع مستند نشده

TECHNOLOGY & ENGINEERING-- Civil-- General.

موضوع مستند نشده

MAT003000

موضوع مستند نشده

PBWH

موضوع مستند نشده

PBWH

موضوع مستند نشده

TBJ

موضوع مستند نشده

TEC-- 009020

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Krysʹko, V. A., (Vadim Anatolʹevich),1937-

مستند نام اشخاص تاييد نشده

Awrejcewicz, J., (Jan)

مستند نام اشخاص تاييد نشده

Kirichenko, Valeriy F.

مستند نام اشخاص تاييد نشده

Krysko, Anton V.

مستند نام اشخاص تاييد نشده

Zhigalov, Maxim V.

تاريخ عمليات

20200823080835.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y