Among various correlation techniques to find the displacement field of a volume imaged by X-Ray tomography at several deformation states, a new approach is proposed where the displacement is measured down to the voxel scale and determined from a mechanically regularized system using the equilibrium gap method, and an additional boundary regularization. It is shown that even if the underlying ma...

1.1. Abstract setting We want to find a “displacement” u ∈ V . Here V is a complete vector space with a norm ‖v‖V . In the absence of external forces the equilibrium solution minizes the “internal energy” Q(u). If there are external forces: Now changing the displacement from u to u+ v corresponds to a work `(v) (“work of external forces”). Here ` : V → R is linear and bounded: ∀v ∈ V : |`(v)| ≤...

This paper presents a spring-fiber bundle model used to describe the failure process induced by energy release in heterogeneous materials. The conditions that induce catastrophic failure are determined by geometric conditions and energy equilibrium. It is revealed that the relative rates of deformation of, and damage to the fiber bundle with respect to the boundary controlling displacement ε₀ e...

Adaptive back stepping control (ABC) is originally applied to a linearized model of an active magnetic bearing (AMB) system. Our control goal is to regulate the deviation of the magnetic bearing from its equilibrium position in the presence of an external disturbance and system uncertainties. Two types of ABC methods are developed on the AMB system. One is based on full state feedback, for whic...

background: spine of an adult is made up of five areas that include 7 cervical vertebrae, 12 thoracic vertebrae, 5 lumbar vertebrae, sacrum and finally coccyx. selecting appropriate assumptions for modeling and biological analysis of the spine components has a significant impact on the accuracy of results in biomechanical simulation for different modes. methods: in the present study, biomechani...

In this study, displacement experiments of isoproturon were conducted in disturbed and undisturbed columns of a silty clay loam soil under similar rainfall intensities. Solute transport occurred under saturated conditions in the undisturbed soil and under unsaturated conditions in the sieved soil because of a greater bulk density of the compacted undisturbed soil compared to the sieved soil. Th...

Abstract A key parameter for the vertical stabilisation system of future fusion devices like ITER is maximum allowable displacement which can be recovered by magnetic control system. The computation this figure merit based on MHD evolutionary equilibrium models: perturbation position implicitly considers a external passive currents guarantees equilibrium. In paper, we quantify consequences cons...

The Cauchy-Born rule postulates that when a monatomic crystal is subjected to a small linear displacement of its boundary, then all atoms will follow this displacement. In the absence of previous mathematical results, we study the validity of this rule in the model case of a 2D cubic lattice interacting via harmonic springs between nearest and diagonal neighbours. Our main result is that for fa...

deformation pattern of the northeastern part of the iranian-arabian collision zone (i.e., mainly sanandaj-sirjan belt or zone) is the main concern of this paper. here, we investigate the stress distribution and displacement pattern of eghlid-deh bid area as affected by the position of zagros suture using a three dimensional mechanical model. the modeled area is located between the zagros thrust...

The authors addressed balance control in children from the perspective of skill development and examined the relationship between specific perceptual and motor skills and static and dynamic balance performance. Fifty 11- to 13-year-old children performed a series of 1-legged balance tasks while standing on a force platform. Postural control was reflected in the maximum displacement of the cente...