La loi de Hooke. Yet, in such cases there is often a fixed linear relation between the force and deformation vectors, as long as they are small enough. It is also the fundamental principle behind the spring scale , the manometer , and the balance wheel of the mechanical clock.
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These are called the major symmetries of the stiffness tensor. Mathematics Chemistry Physics Astronomy. The same parcel of material, no matter how small, can be compressed, stretched, and sheared at the same time, along different directions.
For these materials a proportional limit stress is defined, below which the errors associated with the linear approximation are negligible. Stretch and compress springs to explore the relationships between force, spring constant, displacement, and potential energy! Rencana yang memerlukan terjemahan.
To support this effort, please update your profile! Explaining the Power of Springing BodiesLondon, Holke Grade Level Elementary School. A common form of Hooke's law for isotropic materials, expressed in hkkum tensor notation, is . In other projects Wikimedia Commons.
Embed an image that will launch the simulation when clicked. Strain hardening region 5: Since the change in potential energy changes at a constant rate:.
Many materials will noticeably deviate from Hooke's law well before those elastic limits are reached. Lihat Terma-Terma Penggunaan untuk butiran lanjut.
Preguntas de razonamiento para todas las simulaciones HTML5. For an analogous development for viscous fluids, see Viscosity.
We can also see that this quantity must be a tensor because it is a linear transformation that takes the strain tensor to the stress tensor. Using the relationships between the elastic modulithese equations may also be expressed in various other ways. This reduces the number of elastic constants from 36 to Some elastic bodies will deform in one direction when subjected to a force with a different direction.
Daripada Wikipedia, ensiklopedia bebas. The inverse relationship is . The right-hand side constant requires four indices and is a fourth-rank quantity. The work can be split into two terms. He first stated the law in as a Latin anagram. Hooke's law states that.
Hukum Hooke - Wikipedia Bahasa Melayu, ensiklopedia bebas
On the other hand, Hooke's law is an accurate approximation for most solid bodies, as long as the forces and deformations are small enough. This reduces the number of elastic constants from 81 to Homogeneous isotropic linear elastic materials have their elastic properties uniquely determined by any two moduli among these; thus, given any two, any other of the elastic moduli can be calculated according to these formulas.