Abstract
In exact analyses of bodies in the elastic–plastic regime, the behavior of the material above critical stress values plays a key role. In addition, under cyclic stress, important phenomena to be taken into account are the various types of hardening and the design of the material or structure. In this process, it is important to define several groups of characteristics. These include, for instance, the initial area of plasticity or load which defines the interface between elastic and plastic deformation area. The characteristics also include the relevant law of plastic deformation which specifies the velocity direction of plastic deformation during plastic deformation. In the hardening condition, it is also important to determine the position, size and shape of the subsequent loading area. The elasto-plastic theory was used for the analysis of special compliant mechanisms that are applied for positioning of extremely precise members of the Compact Linear Collider (CLIC), e.g., cryomagnets, laser equipment, etc. Different types of deformation hardening were used to simulate the behavior of particular structural elements in the elastic–plastic regime. Obtained values of stresses and deformations may be used in further practical applications or as default values in other strain hardening model simulations.
Highlights
Plastic deformation of a structural element is an irreversible change in the shape and dimensions of the body due to external forces
The knowledge of the materials’ behavior in elastic–plastic regime plays a fundamental role in the analysis, in the case of cyclic stresses where the mutual dependence of stress and deformation is formed by a hysteresis loop
In engineering practice, when designing and simulating structural elements loaded under elastic–plastic deformation conditions, a designer must rely on methodologies and algorithms in the form offered by commercial software systems for the numerical analysis using finite element methods (FEM)
Summary
Plastic deformation of a structural element is an irreversible change in the shape and dimensions of the body due to external forces. The knowledge of the materials’ behavior in elastic–plastic regime plays a fundamental role in the analysis, in the case of cyclic stresses where the mutual dependence of stress and deformation is formed by a hysteresis loop. Another phenomenon, which complicates the analyses, is the behavior of structural elements when, after reaching the ultimate limit of plastic load-bearing and relieving the element, repeated loading follows [4]. In engineering practice, when designing and simulating structural elements loaded under elastic–plastic deformation conditions, a designer must rely on methodologies and algorithms in the form offered by commercial software systems for the numerical analysis using finite element methods (FEM). The distances between the two intersections in this plane should remain less than 10 μm, Figure 2
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