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In physics and continuum mechanics, deformation is the change in the shape or size of an object. It has dimension of length with SI unit of metre (m). It is quantified as the residual displacement of particles in a non-rigid body, from an initial configuration to a final configuration, excluding the body's average translation and rotation (its rigid transformation). [1]
For a rigid body, the boundary of an object may change over time by continuous translation and rotation. For a deformable body the boundary may also be continuously deformed over time in other ways. An object has an identity. In general two objects with identical properties, other than position at an instance in time, may be distinguished as ...
Continuum mechanics is a branch of mechanics that deals with the deformation of and transmission of forces through materials modeled as a continuous medium (also called a continuum) rather than as discrete particles. Continuum mechanics deals with deformable bodies, as opposed to rigid bodies. A continuum model assumes that the substance of the ...
In continuum mechanics, a compatible deformation (or strain) tensor field in a body is that unique tensor field that is obtained when the body is subjected to a continuous, single-valued, displacement field. Compatibility is the study of the conditions under which such a displacement field can be guaranteed.
Deformation are changes in the relative position between internals points on the object, excluding rigid transformations, causing the body to change shape or size. Strain is the relative internal deformation, the dimensionless change in shape of an infinitesimal cube of material relative to a reference configuration.
When motion involving large displacements is the main objective of study (e.g. for analyzing the motion of satellites), a deformable body may be approximated as a rigid body (or even a particle) in order to simplify the analysis. The degree of freedom of a system can be viewed as the minimum number of coordinates required to specify a ...
Retrieved from "https://en.wikipedia.org/w/index.php?title=Deformable_body&oldid=1172450717"This page was last edited on 27 August 2023, at 04:59 (UTC). (UTC).
Solid mechanics is fundamental for civil, aerospace, nuclear, biomedical and mechanical engineering, for geology, and for many branches of physics and chemistry such as materials science. [1] It has specific applications in many other areas, such as understanding the anatomy of living beings, and the design of dental prostheses and surgical ...