One-Dimensional Shape Memory Alloy Problems Including a Hysteresis Operator

Experimental Hysteresis Identification and Micro-position Control of a Shape-Memory-Alloy Rod Actuator

In order to exhaustively exploit the high-level capabilities of shape memory alloys (SMAs), they must be applied in control systems applications. However, because of their hysteretic inherent, dilatory response, and nonlinear behavior, scientists are thwarted in their attempt to design controllers for actuators of such kind.  The current study aims at developing a micro-position control system ...

Three-Dimensional Hysteresis Modeling of Robotic Artificial Muscles with Application to Shape Memory Alloy Actuators

Being inherently compliant, the robotic artificial muscles are increasingly popular in applications such as safe human-robot interaction, legged robotics, prostheses and orthoses, and soft robotics. Their full utilization is often challenged by the coupled hysteresis among input, strain, and tension force. Although conventional two-dimensional hysteresis models are available, no prior studies o...

On a one-dimensional shape-memory alloy model in its fast-temperature-activation limit

We study a one-dimensional model describing the motion of a shape-memory alloy spring at a small characteristic time scale, called here fast-temperature-activation limit. At this level, the standard Falk’s model reduces to a nonlinear elliptic partial differential equation (PDE) with Newton boundary condition. We show existence and uniqueness of a bounded weak solution and approximate this nume...

A jumping shape memory alloy under heat

Shape memory alloys are typical temperature-sensitive metallic functional materials due to superelasticity and shape recovery characteristics. The conventional shape memory effect involves the formation and deformation of thermally induced martensite and its reverse transformation. The shape recovery process usually takes place over a temperature range, showing relatively low temperature-sensit...

Crystallographic Attributes of a Shape - Memory Alloy