Computer Simulation of the Uniaxial Elastic-Plastic Behavior of Paper

1988 ◽  
Vol 110 (2) ◽  
pp. 117-123 ◽  
Author(s):  
M. K. Ramasubramanian ◽  
R. W. Perkins
Keyword(s):  
Computer Simulation ◽  
Elastic Properties ◽  
Deformation Theory ◽  
Present Model ◽  
Plastic Behavior ◽  
Linear Elastic ◽  
Tension And Compression ◽  
Linear Elastic Theory ◽  
Nonlinear Elastic ◽  
Theoretical Results

The elastic properties of paper materials have been predicted by a micromechanics model of a ribbon-like nonwoven structure. The present model extends the previous linear elastic theory to incorporate nonlinear elastic and deformation theory plastic behavior. The theory incorporates different nonlinear or plastic parameters of fibers that are loaded in tension and compression. The theory is used to develop a computer simulation of the uniaxial straining of a strip of paper. Theoretical results are compared with experiments conducted on two classes of paper materials.

On the Applicability of Sneddon's Solution for Interpreting the Indentation of Nonlinear Elastic Biopolymers

2014 ◽  
Vol 81 (9) ◽  
Author(s):  
Man-Gong Zhang ◽  
Jinju Chen ◽  
Xi-Qiao Feng ◽  
Yanping Cao
Keyword(s):  
Elastic Properties ◽  
Viscoelastic Properties ◽  
Contact Theory ◽  
Elastic Contact ◽  
Flat Punch ◽  
Linear Elastic ◽  
Contact Models ◽  
Properties Of Materials ◽  
Nonlinear Elastic ◽  
Viscoelastic Contact

Indentation has been widely used to characterize the mechanical properties of biopolymers. Besides Hertzian solution, Sneddon's solution is frequently adopted to interpret the indentation data to deduce the elastic properties of biopolymers, e.g., elastic modulus. Sneddon's solution also forms the basis to develop viscoelastic contact models for determining the viscoelastic properties of materials from either conical or flat punch indentation responses. It is worth mentioning that the Sneddon's solution was originally proposed on the basis of linear elastic contact theory. However, in both conical and flat punch indentation of compliant materials, the indented solid may undergo finite deformation. In this case, the extent to which the Sneddon's solution is applicable so far has not been systematically investigated. In this paper, we use the combined theoretical, computational, and experimental efforts to investigate the indentation of hyperelastic compliant materials with a flat punch or a conical tip. The applicability of Sneddon's solutions is examined. Furthermore, we present new models to determine the elastic properties of nonlinear elastic biopolymers.

Two Experimental Approaches for Investigation of Nonlinear Elastic Properties of Polymers and Polymer-Based Composites

2020 ◽  
Vol 847 ◽  
pp. 61-66
Author(s):  
Andrey V. Belashov ◽  
Anna A. Zhikhoreva ◽  
Irina V. Semenova ◽  
Yaroslav M. Beltukov
Keyword(s):  
Mechanical Properties ◽  
Composite Materials ◽  
Elastic Properties ◽  
Glassy Polymers ◽  
Linear Elastic ◽  
Experimental Approaches ◽  
Nonlinear Elastic

The development and fabrication of novel composite materials requires accurate investigation of their mechanical properties. Although various approaches are well-established for investigation of linear elastic properties, there are only few methods that can be applied for study of nonlinear ones. In this report we describe and compare the performance of two different experimental approaches aimed for investigation of nonlinear elastic properties of glassy polymers and polymer-based composites.

scholarly journals Membranes from the Material Assuming Nonlinear Elastic Properties if Exposed to Aggressive Environment

2021 ◽  
Vol 1079 (6) ◽  
pp. 062013
Author(s):  
V V Erastov ◽  
A V Erastov ◽  
I V Erofeeva ◽  
A A Treshev ◽  
A A Bobryshev ◽  
...  
Keyword(s):  
Elastic Properties ◽  
Aggressive Environment ◽  
Nonlinear Elastic

Characterization of Flow Stress for Commercially Pure Titanium Subjected to Electrically-Assisted Deformation

2013 ◽  
Author(s):  
James Magargee ◽  
Fabrice Morestin ◽  
Jian Cao
Keyword(s):  
Flow Stress ◽  
Heating Temperature ◽  
Pure Titanium ◽  
Constitutive Models ◽  
Plastic Behavior ◽  
Commercially Pure Titanium ◽  
Coupled Models ◽  
Commercially Pure ◽  
Electrically Assisted ◽  
Tension And Compression

Uniaxial tension tests were conducted on thin commercially pure titanium sheets subjected to electrically-assisted deformation using a new experimental setup to decouple thermal-mechanical and possible electroplastic behavior. The observed absence of stress reductions for specimens air-cooled to near room temperature motivated the need to reevaluate the role of temperature on modeling the plastic behavior of metals subjected to electrically-assisted deformation, an item that is often overlooked when invoking electroplasticity theory. As a result, two empirical constitutive models, a modified-Hollomon and the Johnson-Cook models of plastic flow stress, were used to predict the magnitude of stress reductions caused by the application of constant DC current and the associated Joule heating temperature increase during electrically-assisted tension experiments. Results show that the thermal-mechanical coupled models can effectively predict the mechanical behavior of commercially pure titanium in electrically-assisted tension and compression experiments.

ELASTIC PROPERTIES OF METAL SUPERLATTICES

1985 ◽  
Vol 56 ◽  
Author(s):  
A.F. JANKOWSKI ◽  
T. TSAKALAKOS
Keyword(s):  
Thin Film ◽  
Elastic Properties ◽  
Elastic Constants ◽  
Vapor Deposition ◽  
Short Wavelength ◽  
Plastic Behavior ◽  
Average Composition ◽  
Strain Effects ◽  
Modulated Structure ◽  
Appreciable Increase

AbstractThe elastic properties of modulated structure materials are presented. An enhanced modulus effect has been observed in several composition modulated thin film systems containing short wavelength modulations.8-10nm. The foils were produced by vapor deposition using two or three source evaporator. As compared with homogeneous foils of the same average composition, the modulated foils exhibited an appreciable increase (up to 300%) in modulus. The dependence of various moduli on the modulation parameters (wavelength, composition and amplitude) are described. The plastic behavior, breaking and microhardness of these foils are also presented as a function of the modulation parameters. Current theories based on electronic and strain effects on the elastic constants of metals are also presented to explain the origin of the supermodulus effect.

Modeling Method of Constitutive Law of Rubber Hyperelasticity Based on Finite Element Simulations

2003 ◽  
Vol 76 (1) ◽  
pp. 271-285 ◽  
Author(s):  
Li-Rong Wang ◽  
Zhen-Hua Lu
Keyword(s):  
Finite Element ◽  
Finite Element Simulations ◽  
Constitutive Law ◽  
Modeling Technique ◽  
Characteristic Analysis ◽  
Rubber Material ◽  
Element Simulation ◽  
Tension And Compression ◽  
Nonlinear Elastic ◽  
Elastic Characteristics

Abstract This paper is to present a method and procedure for modeling the constitutive law of anti-vibration rubber hyperelasticity based on finite element simulations. The hyperelasticity of rubber-like material is briefly summarized first. Then a method and procedure for determining an accurate constitutive law of rubber hyperelasticity from uniaxial tension and compression experiment data is presented and implemented. Due to nonlinear elastic properties of rubber and application limitations of various forms of constitutive law, results of finite element simulation to rubber material experiments show that different forms of constitutive law have to be adopted in different ranges of strain. The proposed procedure to obtain an appropriate constitutive law of rubber hyperelasticity of vibration isolator provides engineers with an effective modeling technique for design and analysis of anti-vibration rubber components. Finally, models of three kinds of rubber materials of a hydraulically damped rubber mount (HDM) are determined by tests and finite element simulations and applied to static and dynamic characteristic analysis of the HDM. The predicted elastic characteristics of the HDM and its major rubber components agree well with experimental data, which demonstrates the practicability and effectiveness of the presented modeling technique to modeling engineering rubber materials in dynamic systems.

Load Regime Diagram of a Pipe With Cyclically Plastic Bending

2002 ◽  
Author(s):  
Yanping Yao ◽  
Ming-Wan Lu
Keyword(s):  
Axial Force ◽  
Bending Moment ◽  
Boundary Curve ◽  
Plastic Behavior ◽  
Cyclic Bending ◽  
Elastic Plastic ◽  
Linear Elastic ◽  
Load Regime ◽  
Reversed Cyclic ◽  
Cyclic Bending Moment

The criteria of piping seismic design based on linear elastic analysis has been proved to be conservative, which is mainly because the influence of plastic deformation on piping dynamic response is neglected. In the present paper, a pipe under seismic excitation is simplified as an beam with tubular cross section subjected to steady axial force and fully reversed cyclic bending moment, and the elastic-plastic behavior of the pipe is studied. Various behavior of the pipe under different combinations of axial force and cyclic bending moment is discussed and the boundary curve equations between them are obtained. Also the load regime diagram for a pipe which is formed by the boundary curve equations in the loading plane is given, from which the elastic-plastic behavior of the pipe can be determined directly.

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