4.7 Article

Analytical Solution of Stationary Coupled Thermoelasticity Problem for Inhomogeneous Structures

Related references

Note: Only part of the references are listed.
Article Mathematics

Generalized Trefftz Method in the Gradient Elasticity Theory

D. B. Volkov-Bogorodskiy et al.

Summary: The proposed Trefftz approximation scheme utilizes subdomains-blocks for gradient elasticity problems based on the analytical representation of Papkovich-Neuber solutions. This scheme allows for minimizing the energy functional and stitching together all necessary quantities on block boundaries due to the analytical construction of functions. The analytical representation of the solution provides an advantage over finite element methods, especially in constructing finite elements on unstructured meshes with independent local shape functions.

LOBACHEVSKII JOURNAL OF MATHEMATICS (2021)

Article Mathematics

On Structure of Fundamental Solutions for Coupled Thermoelasticity and Thermal Stationary Conductivity Problems

S. A. Lurie et al.

Summary: The study focuses on generalized variational models of media with fields of defects, specifically considering a variational model of coupled thermoelasticity and stationary thermal conductivity. By analyzing the structure of the fundamental solutions and discussing the characteristic roots of the model, the research demonstrates the significant impact of coupled effects described by additional parameters on the model.

LOBACHEVSKII JOURNAL OF MATHEMATICS (2021)

Article Mechanics

Multiple fields coupled elastic flexural waves in the thermoelastic semiconductor microbeam with consideration of small scale effects

Mengsi Huang et al.

Summary: This study investigates the possible coupled elastic waves in a thermoelastic semiconduction micro-beam, considering the coupling effects of the carrier field, temperature field, and elastic displacement field. By incorporating nonlocal strain gradient elasticity, non-Fourier heat conduction, and fraction derivative into the model, a more flexible and enriched model with multiple physical fields coupled is obtained. The study reveals the existence of five possible coupled elastic waves, with comparisons made on the dispersion and attenuation characteristics and their coupling modes. Analysis on the influences of nonlocal parameter, strain gradient parameter, thermal relaxation time, and fraction order parameters are discussed based on numerical results.

COMPOSITE STRUCTURES (2021)

Article Mathematics

Generalized Eshelby Problem in the Gradient Theory of Elasticity

D. B. Volkov-Bogorodskiy et al.

LOBACHEVSKII JOURNAL OF MATHEMATICS (2020)

Article Physics, Applied

Thermal contact resistance across nanoscale silicon dioxide and silicon interface

Jie Chen et al.

JOURNAL OF APPLIED PHYSICS (2012)

Article Physics, Applied

WAVE-RELAXATION DUALITY OF HEAT PROPAGATION IN FERMI-PASTA-ULAM CHAINS

Andrei A. Gusev et al.

MODERN PHYSICS LETTERS B (2012)

Article Physics, Applied

The effect of the electron-phonon coupling on the effective thermal conductivity of metal-nonmetal multilayers

J. Ordonez-Miranda et al.

JOURNAL OF APPLIED PHYSICS (2011)

Article Mechanics

Some links between recent gradient thermo-elasto-plasticity theories and the thermomechanics of generalized continua

Samuel Forest et al.

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES (2010)

Article Thermodynamics

GENERAL HEAT CONDUCTION EQUATIONS BASED ON THE THERMOMASS THEORY

Wang Moran et al.

FRONTIERS IN HEAT AND MASS TRANSFER (2010)

Article Materials Science, Multidisciplinary

TRANSIENT ANALYSIS OF A SUDDENLY-OPENING CRACK IN A COUPLED THERMOELASTIC SOLID WITH THERMAL RELAXATION

Louis Milton Brock et al.

JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES (2006)

Article Physics, Applied

Role of electron-phonon coupling in thermal conductance of metal-nonmetal interfaces

A Majumdar et al.

APPLIED PHYSICS LETTERS (2004)

Article Mechanics

Unified thermodynamic framework-for nonlocal/gradient continuum theories

C Polizzotto

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS (2003)

Article Physics, Multidisciplinary

Normal heat conductivity of the one-dimensional lattice with periodic potential of nearest-neighbor interaction

OV Gendelman et al.

PHYSICAL REVIEW LETTERS (2000)