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  2. Solid mechanics - Wikipedia

    en.wikipedia.org/wiki/Solid_mechanics

    A solid is a material that can support a substantial amount of shearing force over a given time scale during a natural or industrial process or action. This is what distinguishes solids from fluids, because fluids also support normal forces which are those forces that are directed perpendicular to the material plane across from which they act and normal stress is the normal force per unit area ...

  3. Lattice Boltzmann methods for solids - Wikipedia

    en.wikipedia.org/wiki/Lattice_Boltzmann_methods...

    The Lattice Boltzmann methods for solids (LBMS) are a set of methods for solving partial differential equations (PDE) in solid mechanics. The methods use a discretization of the Boltzmann equation(BM), and their use is known as the lattice Boltzmann methods for solids. LBMS methods are categorized by their reliance on: Vectorial distributions [1]

  4. Compatibility (mechanics) - Wikipedia

    en.wikipedia.org/wiki/Compatibility_(mechanics)

    For two-dimensional, plane strain problems the strain-displacement relations are = ; = [+] ; = Repeated differentiation of these relations, in order to remove the displacements and , gives us the two-dimensional compatibility condition for strains

  5. Plate theory - Wikipedia

    en.wikipedia.org/wiki/Plate_theory

    [citation needed] A plate theory takes advantage of this disparity in length scale to reduce the full three-dimensional solid mechanics problem to a two-dimensional problem. The aim of plate theory is to calculate the deformation and stresses in a plate subjected to loads .

  6. Category:Solid mechanics - Wikipedia

    en.wikipedia.org/wiki/Category:Solid_mechanics

    Micro-mechanics of failure; Mie–Grüneisen equation of state; Mineral physics; Minimum total potential energy principle; Mohr–Coulomb theory; Mohr's circle; Moldable wood; Mooney–Rivlin solid; Melvin Mooney; Movable cellular automaton

  7. Structural analysis - Wikipedia

    en.wikipedia.org/wiki/Structural_analysis

    Structural analysis is a branch of solid mechanics which uses simplified models for solids like bars, beams and shells for engineering decision making. Its main objective is to determine the effect of loads on physical structures and their components. In contrast to theory of elasticity, the models used in structural analysis are often ...

  8. Sandwich theory - Wikipedia

    en.wikipedia.org/wiki/Sandwich_theory

    After solving the differential equation for the normal forces in the cover sheets for a single span beam under a given load, the energy method can be used to expand the approach for the calculation of multi-span beams. Sandwich continuous beam with flexible cover sheets can also be laid on top of each other when using this technique.

  9. Elastica theory - Wikipedia

    en.wikipedia.org/wiki/Elastica_theory

    The elastica theory is a theory of mechanics of solid materials developed by Leonhard Euler that allows for very large scale elastic deflections of structures. Euler (1744) and Jakob Bernoulli developed the theory for elastic lines (yielding the solution known as the elastica curve ) and studied buckling.

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