Inverse Problems in Experimental Solid Mechanics

نویسندگان

  • Fabrice Pierron
  • Stéphane Avril
چکیده

1. General introduction to inverse problems in solid mechanics 1.1. Significance and Importance 1.2. Main Types of Practical Inverse Problems 2. Identification of constitutive behavior of materials: Theory 2.1. Statement of the Problem 2.2. Principal Methods of Resolution 2.2.1. Direct Inversion 2.2.2. Model Updating Techniques 2.2.3. The Virtual Fields Method 3. Identification of constitutive behavior of materials: Applications 3.1. Detailed Survey of Identification Problems in Linear Elasticity for Homogeneous Materials 3.1.1. Vibration-Based Techniques 3.1.2. Quasi-Static Tests 3.2. Elasto-Plasticity 3.3. Soft Materials 3.4. Heterogeneous Materials 3.4.1. Damaged Materials 3.4.2. Materials with Gradients of Properties 3.5. High Strain Rate Testing 3.6. Microscale Applications 4. Conclusion and perspectives Acknowledgements Bibliography Biographical Sketches

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Application of the Finite Element Method to Inverse Problems in Solid Mechanics

This paper presents the application of the finite element method to two inverse problems in solid mechanics. In the first application, a formulation for the inverse detection of unknown boundary conditions for thermoelastic problems is detailed. The second application involves the inverse determination of heterogeneous material properties for a loaded structure. Both approaches involve the use ...

متن کامل

Dynamics of Macro–Nano Mechanical Systems; Fixed Interfacial Multiscale Method

The continuum based approaches don’t provide the correct physics in atomic scales. On the other hand, the molecular based approaches are limited by the length and simulated process time. As an attractive alternative, this paper proposes the Fixed Interfacial Multiscale Method (FIMM) for computationally and mathematically efficient modeling of solid structures. The approach is applicable to mult...

متن کامل

An Analytical Solution for Inverse Determination of Residual Stress Field

An analytical solution is presented that reconstructs residual stress field from limited and incomplete data.  The inverse problem of reconstructing residual stresses is solved using an appropriate form of the airy stress function.  This function is chosen to satisfy the stress equilibrium equations together with the boundary conditions for a domain within a convex polygon.  The analytical solu...

متن کامل

Finite Element Simulation of Contact Mechanics of Cancer Cells in Manipulation Based on Atomic Force Microscopy

The theory of contact mechanics deals with stresses and deformations which arise when the surfaces of two solid bodies are brought into contact. In elastic deformation contact occurs over a finite area. A regular method for determining the dimensions of this area is Hertz Contact Model. Appearance of atomic force microscope results in introduction of Contact ...

متن کامل

Stabilized and Block Approximate Inverse Preconditioners for Problems in Solid and Structural Mechanics

The solution of linear systems arising in the ®nite element analysis of shells and solids by the preconditioned conjugate gradient method is considered. Stabilized and block versions of the AINV factorized approximate inverse preconditioner are presented and tested on a variety of dicult problems. Comparisons with other preconditioning methods are also included.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2011