Several authors ([1, 2] among others) have proposed mechanical models to predict long term tooth movement considering both the tooth and its surrounding bone tissue as isotropic linear elastic materials coupled to an “adaptative elasticity” behavior [3, 4]. However, tooth movements obtained through orthodontic appliances result from a complex biochemical process of bone structure and density ad...

In this paper, an incremental variational formulation for damage at finite strains is presented. The classical continuum damage mechanics serves as a basis where a stress-softening term depending on a scalar-valued damage function is prepended an effective hyperelastic strain energy function, which describes the virtually undamaged material. Because loss of convexity is obtained at some critica...

In the present study a general Dynamic Data-Driven Application System (DDDAS) is developed for real-time monitoring of damage in composite materials using methods and models that account for uncertainty in experimental data, model parameters, and in the selection of the model itself. The methodology involves (1) data of the uniaxial tensile experiments conducted on a composite material; (2) con...

This chapter summarizes the results of a feasibility study exploring the development of a stochastic Dynamic Data-Driven Application System (DDDAS) for prediction and monitoring of material damage in composite materials common to many types of contemporary high-performance military aircraft. The methodology involves (1) acquiring data from mechanical experiments conducted on a composite materia...

analysis and prediction of structural response to static or dynamic loading requires prediction of concrete response tovariable load histories. the constitutive equations for the mechanical behavior of concrete capable of seeing damage effects or crack growth procedure under loading/unloading/reloading was developed upon micro-plane framework. the proposed damage formulation has been built on t...

Because of the significant difference between thermal expansion coefficients ceramic blank and glaze, glaze typically undergoes more pronounced shrinkage than during cooling, which results in high stress concentrations cracking. In this study, mechanical mechanism cracking is studied, based on statistical strength theory, damage mechanics, continuum mechanics. Furthermore, influence layer thick...