Hill's class of compressible elastic materials and finite bending problems: exact solutions in unified form (Q2428395)

scientific article

Language	Label	Description	Also known as
English	Hill's class of compressible elastic materials and finite bending problems: exact solutions in unified form	scientific article

Statements

instance of

scholarly article

0 references

title

Hill's class of compressible elastic materials and finite bending problems: exact solutions in unified form (English)

0 references

author

Yanyan Li

0 references

published in

International Journal of Solids and Structures

0 references

publication date

24 April 2012

0 references

zbMATH Keywords

elastic materials

0 references

compressible deformations

0 references

finite bending

0 references

exact solutions

0 references

MaRDI profile type

MaRDI publication profile

0 references

full work available at URL

https://doi.org/10.1016/j.ijsolstr.2011.01.016

0 references

cites work

The pressurized hollow sphere problem in finite elastostatics for a class of compressible materials

0 references

On H. Hencky’s Approximate Strain-Energy Function for Moderate Deformations

0 references

On a class of plane radial deformations of compressible nonlinearly elastic solids

0 references

Combined axial shearing, extension, and straightening of elastic annular cylindrical sectors

0 references

On Certain Deformation Classes of Compressible Hencky Materials

0 references

On a class of deformations of compressible, isotropic, nonlinearly elastic solids

0 references

Remarks concerning the flexure of a compressible nonlinearly elastic rectangular block

0 references

ON DEFORMATIONS WITH CONSTANT MODIFIED STRETCHES DESCRIBING THE BENDING OF RECTANGULAR BLOCKS

0 references

Linear constitutive relations in isotropic finite elasticity

0 references

Comparison of results from four linear constitutive relations in isotropic finite elasticity

0 references

Q4547361

0 references

Deformations of an elastic, internally constrained material. I: Homogeneous deformations

0 references

DEFORMATIONS OF AN ELASTIC, INTERNALLY CONSTRAINED MATERIAL PART 2: NONHOMOGENEOUS DEFORMATIONS

0 references

On compressible materials capable of sustaining axisymmetric shear deformations. Part 2: rotational shear of isotropic hyperelastic materials

0 references

On compressible materials capable of sustaining axisymmetric shear deformations. III. Helical shear of isotropic hyperelastic materials

0 references

Contemporary perspectives in finite strain plasticity

0 references

Self-consistent Eulerian rate type elasto-plasticity models based upon the logarithmic stress rate.

0 references

Q4762888

0 references

Constitutive inequalities for an isotropic elastic strain-energy function based on Hencky's logarithmic strain tensor

0 references

Finite bending of a rectangular block of an elastic Hencky material

0 references

Finite strain solutions in compressible isotropic elasticity

0 references

On obtaining closed form solutions for compressible nonlinearly elastic materials

0 references

Some universal deformations for a class of compressible elastic solids

0 references

Compressible isotropic strain energies that support universal irrotational finite deformations

0 references

Azimuthal shear in compressible finite elasticity

0 references

Finite strain solutions for a compressible elastic solid

0 references

The finite deformation of internally pressurized hollow cylinders and spheres for a class of compressible elastic materials

0 references

An invariant basis for natural strain which yields orthogonal stress response terms in isotropic hyperelasticity

0 references

Combining the logarithmic strain and the full-network model for a better understanding of the hyperelastic behavior of rubber-like materials

0 references

Constitutive theory for some constrained elastic crystals

0 references

Nonlinear Elasticity

0 references

Finite deformation elasto-plastic solution for the pure bending problem of a wide plate of elastic linear-hardening material

0 references

Closed-form solutions, extremality and nonsmoothness criteria in a large deformation elasticity problem

0 references

Q5828582

0 references

Inflation and Bifurcation of Thick-Walled Compressible Elastic Spherical Shells

0 references

CIRCULAR SHEARING OF COMPRESSIBLE ELASTIC CYLINDERS

0 references

On constitutive inequalities for simple materials. I

0 references

Constitutive inequalities for isotropic elastic solids under finite strain

0 references

Aspects of Invariance in Solid Mechanics

0 references

A review of partial solutions of finite elasticity and their applications

0 references

Q3474322

0 references

Plane strain bending of cylindrical sectors of admissible compressible hyperelastic materials

0 references

On compressible materials capable of sustaining axisymmetric shear deformations. I: Anti-plane shear of isotropic hyperelastic materials

0 references

On azimuthal shear of a circular cylindrical tube of compressible elastic material

0 references

Some new solutions for the axial shear of a circular cylindrical tube of compressible elastic material

0 references

On Extension and Torsion of a Compressible Elastic Circular Cylinder

0 references

On Helical Shear of a Compressible Elastic Circular Cylindrical Tube

0 references

Some solutions for a compressible isotropic elastic material

0 references

Some new closed-form solutions describing spherical inflation in compressible finite elasticity

0 references

Linear isotropic relations in finite hyperelasticity: some general results

0 references

Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids

0 references

Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids

0 references

Volume changes associated with the deformation of rubber-like solids

0 references

Q3327849

0 references

SOLUTION OF SOME FINITE PLANE-STRAIN PROBLEMS FOR COMPRESSIBLE ELASTIC SOLIDS

0 references

Large elastic deformations of isotropic materials. I. Fundamental concepts

0 references

Large elastic deformations of isotropic materials. III. Some simple problems in cyclindrical polar co-ordinates

0 references

Large elastic deformations of isotropic materials IV. further developments of the general theory

0 references

Large elastic deformations of isotropic materials. V. The problem of flexure

0 references

Large elastic deformations of isotropic materials VI. Further results in the theory of torsion, shear and flexure

0 references

Some exact solutions for a class of compressible non-linearly elastic materials

0 references

Q5809668

0 references

Q4023641

0 references

Q4066685

0 references

Hencky's elasticity model and linear stress-strain relations in isotropic finite hyperelasticity

0 references

A unified exact analysis for the Poynting effects of cylindrical tubes made of Hill's class of Hookean compressible elastic materials at finite strain

0 references

Logarithmic strain, logarithmic spin and logarithmic rate

0 references

Hypo-elasticity model based upon the logarithmic stress rate

0 references

Existence and uniqueness of the exactly integrable hypoelastic equation \(\overset\circ\tau^*=\lambda(\text{tr }D)I+2\mu \)D and its significance to finite inelasticity

0 references

The choice of objective rates in finite elastoplasticity: general results on the uniqueness of the logarithmic rate

0 references

Elastoplasticity beyond small deformations

0 references

Identifiers

zbMATH Open document ID

1236.74023

0 references

DOI

10.1016/j.ijsolstr.2011.01.016

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:2428395