scholarly journals Microplane Model for Concrete. I: Stress-Strain Boundaries and Finite Strain

1996 ◽  
Vol 122 (3) ◽  
pp. 245-254 ◽  
Author(s):  
Zdeněk P. Bažant ◽  
Yuyin Xiang ◽  
Pere C. Prat
Keyword(s):  
Finite Strain ◽  
Stress Strain ◽  
Microplane Model

Stress and Deformation

1996 ◽  
Author(s):  
Gerhard Oertel
Keyword(s):  
Differential Equations ◽  
Mathematical Description ◽  
Finite Strain ◽  
Stress Strain ◽  
Complex Problems ◽  
Vector Algebra ◽  
Stress And Deformation

Students of geology who may have only a modest background in mathematics need to become familiar with the theories of stress, strain, and other tensor quantities, so that they can follow, and apply to their own research, developments in modern, quantitative geology. This book, based on a course taught by the author at UCLA, can provide the proper introduction. Included throughout the eight chapters are 136 complex problems, advancing from vector algebra in standard and subscript notations, to the mathematical description of finite strain and its compounding and decomposition. Fully worked solutions to the problems make up the largest part of the book. With their help, students can monitor their progress, and geologists will be able to utilize subscript and matrix notations and formulate and solve tensor problems on their own. The book can be successfully used by anyone with some training in calculus and the rudiments of differential equations.

Modeling Hysteretic Stress-Strain Relationships With Graphical User Interface

2001 ◽  
Author(s):  
Yue Zhang
Keyword(s):  
User Interface ◽  
Graphical User Interface ◽  
Finite Strain ◽  
Nonlinear Function ◽  
Hysteresis Loops ◽  
Stress Strain ◽  
Memory Kernel ◽  
Modeling Process ◽  
Strain Relationship ◽  
Relationship Of

Abstract The stress-strain relationship of rubber materials manifests as hysteresis loops under finite strain. In this paper, some results from applying an integral formulation that encompasses a memory kernel of time and a nonlinear function of the strain to model extensions of rubber rods are presented. Various experimental data loops are studied. In addition, the author presents a graphical user interface that facilitates the modeling process.

Finite Strain Elastostatics With Stiffening Materials: A Constrained Minimization Model

1997 ◽  
Vol 64 (2) ◽  
pp. 440-442 ◽  
Author(s):  
S. J. Hollister ◽  
J. E. Taylor ◽  
P. D. Washabaugh
Keyword(s):  
Boundary Value Problem ◽  
Minimization Problem ◽  
Finite Strain ◽  
Necessary Conditions ◽  
Piecewise Linear ◽  
Process Parameter ◽  
Constrained Minimization ◽  
Problem Statement ◽  
Stress Strain ◽  
Constrained Minimization Problem

Finite strain elastostatics is expressed for general anisotropic, piecewise linear stiffening materials, in the form of a constrained minimization problem. The corresponding boundary value problem statement is identified with the associated necessary conditions. Total strain is represented as a superposition of variationally independent constituent fields. Net stress-strain properties in the model are implicit in terms of the parameters that define the constituents. The model accommodates specification of load fields as functions of a process parameter.

Interpretation of pressuremeter tests in sand

2001 ◽  
Vol 38 (6) ◽  
pp. 1155-1165 ◽  
Author(s):  
Vincenzo Silvestri
Keyword(s):  
Plane Strain ◽  
Finite Strain ◽  
Field Tests ◽  
Finite Strains ◽  
Stress Distributions ◽  
Stress Strain ◽  
Response Behaviour ◽  
Constitutive Relationships ◽  
Calibration Chamber ◽  
Chamber Studies

This paper presents a method to obtain the constitutive relationships of sand from drained self-boring pressuremeter tests. Plane-strain conditions and Rowe's stress–dilatancy theory are assumed to hold to determine stress and finite strain distributions and paths. The proposed method, which has been validated using both calibration chamber studies and field tests, appears to correctly render the response behaviour of relatively loose to dense sands.Key words: stress–strain relations, self-boring pressuremeter tests, sands, finite strains, stress distributions, paths.

scholarly journals Transformation of Test Data for the Specification of a Viscoelastic Marlow Model

Solids ◽  
2020 ◽  
Vol 1 (1) ◽  
pp. 2-15
Author(s):  
Olaf Hesebeck
Keyword(s):  
Tensile Test ◽  
Strain Rate ◽  
Finite Strain ◽  
Strain Curve ◽  
Model Parameters ◽  
Strain Rates ◽  
Stress Strain Curve ◽  
Stress Strain ◽  
Material Response ◽  
Rate Dependent

The combination of hyperelastic material models with viscoelasticity allows researchers to model the strain-rate-dependent large-strain response of elastomers. Model parameters can be identified using a uniaxial tensile test at a single strain rate and a relaxation test. They enable the prediction of the stress–strain behavior at different strain rates and other loadings like compression or shear. The Marlow model differs from most hyperelastic models by the concept not to use a small number of model parameters but a scalar function to define the mechanical properties. It can be defined conveniently by providing the stress–strain curve of a tensile test without need for parameter optimization. The uniaxial response of the model reproduces this curve exactly. The coupling of the Marlow model and viscoelasticity is an approach to create a strain-rate-dependent hyperelastic model which has good accuracy and is convenient to use. Unfortunately, in this combination, the Marlow model requires to specify the stress–strain curve for the instantaneous material response, while experimental data can be obtained only at finite strain rates. In this paper, a transformation of the finite strain rate data to the instantaneous material response is derived and numerically verified. Its implementation enables us to specify hyperelastic materials considering strain-rate dependence easily.

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