What I think you are looking for is "lumbago" which per definition is a symptom of lower Back pain that can have numerous causes, it is preffered to use the cause as diagnosis (diagnostic codes) if known. Back pain can be caused by many different things of which one is strain of the lower back muscles. .A strain is caused by a tear/injury to muscles or tendons. There is no word other then strain in english for what you are asking for to my knowledge other than some direct translation to latin that is not used internationally.
Dorsalgia = pain in the upper back region.
Lumbago = pain in the lower or lumbar region of the back.
Lumbago .
Nociception is the medical term meaning pain detection. -algia or -dynia is the medical terminology combining form meaning pain. The traditional Latin term meaning pain is dolor.
Thoracic back pain or thoracic spinal region pain.
Lumbago is pain that involves the lumbar spine, sciatica is the term used for back pain that involves the sciatic nerve that can also radiate to one or both legs.
The lower back is the lumbar area.
lumbosacral
Lumbar region.
Cervical pain
Myalgia
syenosis
Dorsalgia is the medical term meaning back pain. It is not a frequently used word.
Nociception is the medical term meaning pain detection. -algia or -dynia is the medical terminology combining form meaning pain. The traditional Latin term meaning pain is dolor.
analgesic or painkillerAnother term for pain reliever is analgesicAnalgesicAnalgesic
Assuming it's back pain, the clinical term is "Pain in the thoracic spine" ICD 724.1
Otalgia is the medical term meaning ear pain.
Dorsal is the medical term meaning back.
Stomatalgia is the medical term meaning mouth pain.
Mastodynia or mastalgia is the medical term meaning breast pain.
The medical term for stomach pain is gastralgia. The suffix for gastralgia is -algia, meaning "pain."
Gastroenteralgia is the medical term meaning pain in the stomach and intestine.
Adnexal is the medical term meaning near the ovary.
Iritis is the medical term meaning iris pain. It is an inflammation of the iris that can cause pain, sensitivity to light, and redness in the eye. Treatment usually involves anti-inflammatory medications or steroid eye drops.