The piezocaloric effect is a second rank tensor property. Assuming you have an orthorhombic material with lattice parameters a = 2amstrong, b = 3amstrong c = 4amstrong respectively and where the piezocaloric values in m^3/k along the [100],[010] and [001] are respectively 20, 40, and 60 (1) Write the matrix P that represent the piezocaloric effect of this material. (2) Determine the value of the cosine of the angle between [100] and [100] (3) Determine the value of the cosine of the angle between [010] and [100] (4) Determine the value of the cosine of the angle between [001] and [100] (5) Determine the value of the piezocaloric effect for the material in (m^3/k) along the [100] direction (6) Determine the normal to the (100) plane in the material (7) Determine the angle between the normal to the (100) plane in the material and the [246] direction in this material
The piezocaloric effect is a second rank tensor property. Assuming you have an orthorhombic material with lattice parameters a = 2amstrong, b = 3amstrong c = 4amstrong respectively and where the piezocaloric values in m^3/k along the [100],[010] and [001] are respectively 20, 40, and 60 (1) Write the matrix P that represent the piezocaloric effect of this material. (2) Determine the value of the cosine of the angle between [100] and [100] (3) Determine the value of the cosine of the angle between [010] and [100] (4) Determine the value of the cosine of the angle between [001] and [100] (5) Determine the value of the piezocaloric effect for the material in (m^3/k) along the [100] direction (6) Determine the normal to the (100) plane in the material (7) Determine the angle between the normal to the (100) plane in the material and the [246] direction in this material
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![The piezocaloric effect is a second rank tensor property. Assuming you have an orthorhombic material
with lattice parameters a = 2amstrong, b = 3amstrong c = 4amstrong respectively and where the
piezocaloric values in m^3/k along the [100], [010] and [001] are respectively 20, 40, and 60
(1) Write the matrix P that represent the piezocaloric effect of this material.
(2) Determine the value of the cosine of the angle between [100] and [100]
(3) Determine the value of the cosine of the angle between [010] and [100]
(4) Determine the value of the cosine of the angle between [001] and [100]
(5) Determine the value of the piezocaloric effect for the material in (m^3/k) along the [100]
direction
(6) Determine the normal to the (100) plane in the material
(7) Determine the angle between the normal to the (100) plane in the material and the [246]
direction in this material](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3752cebe-44a2-41dc-8aad-9e7c48b99250%2F469fa423-080f-4d40-85bf-bc5ba6668380%2Fmjn5v7e_processed.png&w=3840&q=75)
Transcribed Image Text:The piezocaloric effect is a second rank tensor property. Assuming you have an orthorhombic material
with lattice parameters a = 2amstrong, b = 3amstrong c = 4amstrong respectively and where the
piezocaloric values in m^3/k along the [100], [010] and [001] are respectively 20, 40, and 60
(1) Write the matrix P that represent the piezocaloric effect of this material.
(2) Determine the value of the cosine of the angle between [100] and [100]
(3) Determine the value of the cosine of the angle between [010] and [100]
(4) Determine the value of the cosine of the angle between [001] and [100]
(5) Determine the value of the piezocaloric effect for the material in (m^3/k) along the [100]
direction
(6) Determine the normal to the (100) plane in the material
(7) Determine the angle between the normal to the (100) plane in the material and the [246]
direction in this material
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